From 4a4c30b8ece33c7daeba6b67894466fb1c5a1599 Mon Sep 17 00:00:00 2001 From: Lianne <lianne.soo@imt-atlantique.net> Date: Wed, 28 May 2025 19:54:15 +0200 Subject: [PATCH] final commit --- cello_harp.png | Bin 0 -> 38187 bytes clarinet_sax.png | Bin 0 -> 37872 bytes compte_rendu_audio.pdf | Bin 0 -> 780112 bytes piano1_piano2.png | Bin 0 -> 34058 bytes src/.DS_Store | Bin 0 -> 6148 bytes src/Sar_jupyter.ipynb | 1659 ++++++++++++++++++++++++++++++++ src/Sar_jupyter.pdf | Bin 0 -> 636494 bytes src/analyse_delay.m | 8 + src/audio_exo.m | 102 ++ src/effet_delay.m | 6 + src/effet_delay_filtre.m | 14 + src/effet_reverb.m | 3 + src/effet_reverb_FFT.m | 4 + src/module_fft.m | 6 + src/wav/piano_delay_filtre.wav | Bin 0 -> 156726 bytes 15 files changed, 1802 insertions(+) create mode 100644 cello_harp.png create mode 100644 clarinet_sax.png create mode 100644 compte_rendu_audio.pdf create mode 100644 piano1_piano2.png create mode 100644 src/.DS_Store create mode 100644 src/Sar_jupyter.ipynb 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sous-titres</title>\n", + " <style>\n", + " h1 {\n", + " text-align: center;\n", + " }\n", + " h2, h3 {\n", + " text-align: left; /* Alignement par défaut, mais explicité ici */\n", + " }\n", + " </style>\n", + "</head>\n", + "<body>\n", + " <h1>SAR Traitements audio : partie signal</h1>\n", + " <h3> Lianne Soo, Tinhinen Meniche </h3>\n", + "</body>\n", + "</html>\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "9abd38c6", + "metadata": {}, + "source": [ + "<h2>Introduction</h2>\n", + "\n", + "La partie signal de la SAR traitements audio nous permet de mettre en oeuvre et d'analyser différents algorithmes pour comprendre leur impact sur les signaux audio. En manipulant des signaux réels et synthétiques, nous étudierons les caractéristiques des signaux sonores et les transformations qu'ils subissent lors du traitement numérique." + ] + }, + { + "cell_type": "markdown", + "id": "188f3c23", + "metadata": {}, + "source": [ + "<h2>Synthèse additive</h2>\n", + "<h3>Analyse d'un son harmonique</h3>\n", + "\n", + "<p><b>Question 1.1</b></p>\n", + "\n", + "Visualisons le spectre d'amplitude obtenu avec une transformée de Fourier discrète de quelques instruments à cordes :" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "ea659685", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fréquence fondamentale du violoncelle :\n", + "220.8047 Hz\n", + "fréquence fondamentale de lharpe :\n", + "219.9104 Hz\n" + ] + }, + { + "data": { + "image/png": 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+ }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[f_cello,mod_cello]=module_fft(\"wav/single_tone_cello-a3.wav\");\n", + "[f_harp,mod_harp]=module_fft(\"wav/single_tone_celtic-harp-a3.wav\");\n", + "\n", + "mod_cello_db = 20 * log10(mod_cello);\n", + "mod_harp_db = 20 * log10(mod_harp);\n", + "\n", + "[f_cello_max,idx1_cello]=max(mod_cello);\n", + "f1_cello=f_cello(idx1_cello);\n", + "disp('fréquence fondamentale du violoncelle :');\n", + "disp([num2str(abs(f1_cello)), ' Hz']);\n", + "\n", + "\n", + "[f_harp_max,idx_harp]=max(mod_harp);\n", + "f1_harp=f_harp(idx_harp);\n", + "disp('fréquence fondamentale de lharpe :');\n", + "disp([num2str(abs(f1_harp)), ' Hz']);\n", + "\n", + "figure;\n", + "t=tiledlayout(2,1);\n", + "title(t, 'Spectres de deux instruments à cordes');\n", + "nexttile\n", + "plot(f_cello,mod_cello_db);\n", + "legend('FFT cello');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n", + "nexttile\n", + "plot(f_harp,mod_harp_db);\n", + "legend('FFT harp');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n" + ] + }, + { + "cell_type": "markdown", + "id": "d9a02a5b", + "metadata": {}, + "source": [ + "Pour des instruments à vent :" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "12a85f1e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fréquence fondamentale de la clarinette :\n", + "222.0918 Hz\n", + "fréquence fondamentale du saxophone alto :\n", + "220.6615 Hz\n" + ] + }, + { + "data": { + "image/png": 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+ }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[f_clari,mod_clari]=module_fft(\"wav/single_tone_clarinet-a3.wav\");\n", + "[f_sax_a,mod_sax_a]=module_fft(\"wav/single_tone_sax-alto-a3.wav\");\n", + "\n", + "mod_clari_db = 20 * log10(mod_clari);\n", + "mod_sax_a_db = 20 * log10(mod_sax_a);\n", + "\n", + "[f_clari_max,idx1_clari]=max(mod_clari);\n", + "f1_clari=f_clari(idx1_clari);\n", + "disp('fréquence fondamentale de la clarinette :');\n", + "disp([num2str(abs(f1_clari)), ' Hz']);\n", + "\n", + "\n", + "[f_sax_a_max,idx_sax_a]=max(mod_sax_a);\n", + "f1_sax_a=f_sax_a(idx_sax_a);\n", + "disp('fréquence fondamentale du saxophone alto :');\n", + "disp([num2str(abs(f1_sax_a)), ' Hz']);\n", + "\n", + "figure;\n", + "t=tiledlayout(2,1);\n", + "title(t, 'Spectres de deux instruments à vent');\n", + "nexttile\n", + "plot(f_clari,mod_clari_db);\n", + "legend('FFT clarinet');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n", + "nexttile\n", + "plot(f_sax_a,mod_sax_a_db);\n", + "legend('FFT sax alto');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En comparant les instruments de la même famille, nous remarquons que les instruments ont une fréquence fondamentale presque égale mais qu'ils ont un spectre d'amplitude différent. En effet, ils se différencient par leur répartition harmonique, ce qui explique pourquoi nous entendons des sons différents même lorsque 2 instruments de la même famille jouent la même note." + ] + }, + { + "cell_type": "markdown", + "id": "13f0041b", + "metadata": {}, + "source": [ + "<p><b>Question 1.2</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "e39c878c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fréquence fondamentale du piano1 :\n", + "220.2939 Hz\n", + "fréquence fondamentale du piano2 :\n", + "442.5712 Hz\n" + ] + }, + { + "data": { + "image/png": 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" + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[x,fe]=audioread(\"wav/single_tone_piano1.wav\");\n", + "[f_piano1,mod_piano1]=module_fft(\"wav/single_tone_piano1.wav\");\n", + "[f_piano2,mod_piano2]=module_fft(\"wav/single_tone_piano2.wav\");\n", + "\n", + "mod_piano1_db = 20 * log10(mod_piano1); \n", + "mod_piano2_db = 20 * log10(mod_piano2);\n", + "\n", + "[f_piano1_max,idx_piano1]=max(mod_piano1);\n", + "f1_piano1=f_piano1(idx_piano1);\n", + "disp('fréquence fondamentale du piano1 :');\n", + "disp([num2str(abs(f1_piano1)), ' Hz']);\n", + "\n", + "[f_piano2_max,idx_piano2]=max(mod_piano2);\n", + "f1_piano2=f_piano2(idx_piano2);\n", + "disp('fréquence fondamentale du piano2 :');\n", + "disp([num2str(abs(f1_piano2)), ' Hz']);\n", + "\n", + "t = tiledlayout(2,1); \n", + "title(t, 'Spectres de deux pianos');\n", + "nexttile\n", + "plot(f_piano1,mod_piano1);\n", + "legend('FFT piano1');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');\n", + "\n", + "nexttile\n", + "plot(f_piano2,mod_piano2);\n", + "legend('FFT piano2');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "fb9d3af4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mod_piano1_db = 20 * log10(mod_piano1); \n", + "mod_piano2_db = 20 * log10(mod_piano2);\n", + "\n", + "t = tiledlayout(2,1); \n", + "title(t, 'Spectres de deux pianos (dB)');\n", + "nexttile\n", + "plot(f_piano1,mod_piano1_db);\n", + "legend('FFT piano1 (dB)');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n", + "nexttile\n", + "plot(f_piano2,mod_piano2_db);\n", + "legend('FFT piano2 (dB)');\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude (dB)');\n", + "ylim([-100 70]);\n" + ] + }, + { + "cell_type": "markdown", + "id": "0979d336", + "metadata": {}, + "source": [ + "Le Piano 1 semble plus harmonieux que le Piano 2, car son spectre montre des pics mieux définis et concentrés dans les harmoniques principales alors que le Piano 2 pourrait présenter plus de bruit." + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "id": "8cb18c46", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ftheo_piano1 :\n", + " 1.5432e+03\n", + "\n", + "fmes_piano1 :\n", + " 1.5563e+03\n", + "\n", + "inharmonicité_piano1 :\n", + " 14.6320\n", + "\n" + ] + } + ], + "source": [ + "\n", + "n = 7; % Choix de l'harmonique\n", + "tab_fmesuree = [220.456, 442.124, 663.307, 855.622, 1108, 1331.54, 1556.29];\n", + "amplitude = [7287, 5565, 1088, 1414, 981, 671, 570];\n", + "\n", + "% Calcul des fréquences théoriques\n", + "ftheo_piano1 = n * abs(tab_fmesuree(1)); % Fréquence théorique (exemple avec 1er harmonique)\n", + "disp('ftheo_piano1 :');\n", + "disp(ftheo_piano1);\n", + "disp('fmes_piano1 :');\n", + "disp(tab_fmesuree(n));\n", + "epsfh_piano1 = 1200 * (log2(tab_fmesuree(n)) - log2(ftheo_piano1));\n", + "disp('inharmonicité_piano1 :');\n", + "disp(abs(epsfh_piano1));\n", + "\n", + "% Création du spectre (positif et négatif)\n", + "freqs_positive = tab_fmesuree; \n", + "freqs_negative = -tab_fmesuree; \n", + "amplitudes = amplitude; \n", + "\n", + "% Combinaison des fréquences et amplitudes\n", + "freqs = [freqs_negative, freqs_positive]; \n", + "amps = [amplitudes, amplitudes]; \n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "c1649b06", + "metadata": {}, + "source": [ + "<!DOCTYPE html>\n", + "<html lang=\"fr\">\n", + "<head>\n", + " <meta charset=\"UTF-8\">\n", + " <meta name=\"viewport\" content=\"width=device-width, initial-scale=1.0\">\n", + " <title>Tableau Fréquences</title>\n", + " <style>\n", + " table {\n", + " width: 80%;\n", + " border-collapse: collapse;\n", + " margin: 20px auto;\n", + " font-family: Arial, sans-serif;\n", + " }\n", + " th, t {\n", + " padding: 12px;\n", + " text-align: center;\n", + " border: 1px solid #ddd;\n", + " }\n", + " th {\n", + " background-color:rgb(255, 255, 255); /* Couleur d'arrière-plan de l'en-tête */\n", + " }\n", + " tbody {\n", + " background-color:rgb(0, 0, 0); /* Couleur uniforme pour toutes les lignes */\n", + " }\n", + " .bold {\n", + " font-weight: bold;\n", + " }\n", + " </style>\n", + "</head>\n", + "<body>\n", + " <table>\n", + " <tbody>\n", + " <tr>\n", + " <th class=\"bold\">Fréquence (Hz)</th>\n", + " <th>f2 (Hz)</th>\n", + " <th>f3 (Hz)</th>\n", + " <th>f4 (Hz)</th>\n", + " <th>f5 (Hz)</th>\n", + " <th>f6 (Hz)</th>\n", + " <th>f7 (Hz)</th>\n", + " </tr>\n", + " <tr>\n", + " <th class=\"bold\">Théorique</th>\n", + " <th>440.6</th>\n", + " <th>660.9</th>\n", + " <th>881.2</th>\n", + " <th>1101.5</th>\n", + " <th>1321.8</th>\n", + " <th>1542.1</th>\n", + " </tr>\n", + " <tr>\n", + " <th class=\"bold\">Mesurées</th>\n", + " <th>442.1</th>\n", + " <th>663.3</th>\n", + " <th>855.6</th>\n", + " <th>1107.94</th>\n", + " <th>1331.5</th>\n", + " <th>1556.3</th>\n", + " </tr>\n", + " <tr>\n", + " <th class=\"bold\">Inharmonicité</th>\n", + " <th>4.7524</th>\n", + " <th>5.0682</th>\n", + " <th>52.22</th>\n", + " <th>8.9606</th>\n", + " <th>11.484</th>\n", + " <th>14.632</th>\n", + " </tr>\n", + " </tbody>\n", + " </table>\n", + "</body>\n", + "</html>" + ] + }, + { + "cell_type": "markdown", + "id": "a9076390", + "metadata": {}, + "source": [ + "<p><b>Question 1.3</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "697379fe", + "metadata": {}, + "outputs": [], + "source": [ + "size=length(tab_fmesuree);\n", + "duree =2; %length(f_piano1)/fe;\n", + "tmp = 0:1/fe:duree-1/fe;\n", + "signal=0;\n", + "for k = 1:size\n", + " signal=signal + amplitude(k)*sin(2*pi*tab_fmesuree(k)*tmp);\n", + "end\n", + "signal_norma = signal / max(abs(signal)); %signal normalisé\n", + "sound(signal_norma, fe);" + ] + }, + { + "cell_type": "markdown", + "id": "44999244", + "metadata": {}, + "source": [ + "En comparant le son synthétisé au son original, nous entendons la même note mais le son synthétisé sonne beaucoup plus robotique et monotone car il n'a pas de variation de volume ( sans l'enveloppe ), ni de bruit qui crée toute la richesse du son du piano. " + ] + }, + { + "cell_type": "markdown", + "id": "3d288956", + "metadata": {}, + "source": [ + "<p><b>Question 1.4</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "94958243", + "metadata": {}, + "outputs": [], + "source": [ + "n_sig = length(signal_norma);\n", + "len_attack = round(n_sig * 0.001); \n", + "len_decay = round(n_sig * 0.008);\n", + "len_sustain = round(n_sig * 0.80); \n", + "len_release = n_sig - (len_attack + len_decay + len_sustain);\n", + "\n", + "A = linspace(0, 1, len_attack); % Montée rapide\n", + "D = linspace(1, 0.8, len_decay); % Déclin rapide\n", + "S = linspace(0.8, 0.8, len_sustain); % Faible sustain\n", + "R = linspace(0.8, 0, len_release); % Relâchement progressif\n", + "\n", + "envelope = [A, D, S, R];\n", + "\n", + "if length(envelope) > n_sig\n", + " envelope = envelope(1:n_sig);\n", + "elseif length(envelope) < n_sig\n", + " envelope = [envelope, zeros(1, n_sig - length(envelope))];\n", + "end\n", + "\n", + "tone = signal_norma .* envelope;\n", + "\n", + "sound(tone, fe);" + ] + }, + { + "cell_type": "markdown", + "id": "7779230e", + "metadata": {}, + "source": [ + "Comme dit précédemment, le son synthétisé sonne toujours robotique sans les bruits mais l'enveloppe permet d'approcher ce son au son original du piano en créant des variations de volume." + ] + }, + { + "cell_type": "markdown", + "id": "f8679b45", + "metadata": {}, + "source": [ + "<p><b>Question 1.5</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "6a1530f2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "N = length(tmp); \n", + "spectrum = zeros(1, N); \n", + "\n", + "% Index correspondant aux fréquences mesurées\n", + "freq_indices = round(tab_fmesuree / fe * N); \n", + "\n", + "% Construction du spectre\n", + "for k = 1:length(tab_fmesuree)\n", + " spectrum(freq_indices(k) + 1) = amplitude(k); \n", + " spectrum(N - freq_indices(k) + 1) = amplitude(k); \n", + "end\n", + "\n", + "% Transformée de Fourier inverse\n", + "tf_inverse_modpiano1 = ifft(spectrum, 'symmetric'); \n", + "\n", + "tf_inverse_modpiano1 = tf_inverse_modpiano1 / max(abs(tf_inverse_modpiano1));\n", + "\n", + "subplot(2,1,1);\n", + "plot(tmp, signal_norma); \n", + "xlabel('temps(s)');\n", + "ylabel('Amplitude');\n", + "title('Signal somme sinusoïdale');\n", + "\n", + "subplot(2,1,2);\n", + "plot(tmp, tf_inverse_modpiano1);\n", + "xlabel('temps(s)');\n", + "ylabel('Amplitude');\n", + "title('Signal Synthétisé par Transformée de Fourier Inverse');\n", + "\n", + "%sound(tf_inverse_modpiano1, fe); % Pour écouter le son synthétisé\n" + ] + }, + { + "cell_type": "markdown", + "id": "8d911bfc", + "metadata": {}, + "source": [ + "Nous obtenons des variations d'amplitude similaires. Cependant, nous remarquons que les \" creux \" correspondent aux \" pics \" de l'autre. Cela peut s'expliquer par un déphasage lors de la construction de l'IFFT. " + ] + }, + { + "cell_type": "markdown", + "id": "43c6358d", + "metadata": {}, + "source": [ + "<!DOCTYPE html>\n", + "<html lang=\"fr\">\n", + "<body>\n", + " <h2>Synthése soustractive</h2>\n", + "</body>\n", + "</html>" + ] + }, + { + "cell_type": "markdown", + "id": "8e8e6861", + "metadata": {}, + "source": [ + "<p><b>Question 2.1</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "313f7053", + "metadata": {}, + "source": [ + "Pour vérifier numériquement les calculs, on peut utiliser la décomposition de Fourier. En effet, un signal temporel périodique\n", + "y(t) de fréquence f se décompose en une somme infinie de sinus et cosinus de fréquence f , 2f , 3f, etc.<br> \n", + "La transformée de Fourier est plus simple à calculer (somme)<br>\n", + "Cette méthode est assez complexe, surtout pour des signaux complexes. Les calculs deviennent assez difficiles et l'interprétation des résultats encore plus<br>" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "c23ec509", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%signal carre\n", + "Tc = 1; %période\n", + "fca=1000;\n", + "tc = linspace(-2,2,1000);\n", + "xc = square(2*pi*tc/Tc);\n", + "yc=fftshift(fft(xc));\n", + "modulec=abs(yc);\n", + "fc=linspace(-fca/2,fca/2,length(yc));\n", + "figure ;\n", + "subplot(2,1,1); \n", + "plot(fc, modulec);\n", + "xlabel('f (Hz)');\n", + "ylabel('FFT');\n", + "title('Spectre d un signal Carré Centré');\n", + "\n", + "%signal dent de scie\n", + "Td = 10*(1/50);\n", + "fs = 1000;\n", + "td = 0:1/fs:Td-1/fs;\n", + "xd = sawtooth(2*pi*50*td);\n", + "yd=fftshift(fft(xd));\n", + "moduled=abs(yd);\n", + "fd=linspace(-fs/2,fs/2,length(yd));\n", + "\n", + "\n", + "subplot(2,1,2); \n", + "plot(fd, moduled);\n", + "xlabel('f (Hz)');\n", + "ylabel('FFT');\n", + "title('Spectre d un signal Dents de Scie Centré');" + ] + }, + { + "cell_type": "markdown", + "id": "d9758e4d", + "metadata": {}, + "source": [ + "<p><b>Question 2.2</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "729874b3", + "metadata": {}, + "source": [ + "Pour calculer le spectre théorique de sortie on commence par trouver la réponse impulsionnelle. $y(t)=h(t)*x(t)$ <br> \n", + "on peut tester avec un signal d'excitation (Dirac) $y(t)=h(t)*d(t)=h(t)$<br>\n", + "on alors $h(t)= \\frac{1}{2}(d(t)+d(t-1))$.<br>\n", + "On passe a la transformée de Fourier on a :$H(f)= \\frac{1}{2}(1+e^{-j2 \\pi f })= e^{- j \\pi f }cos(\\pi f )$.<br>\n", + "Le spectre théorique de sortie doit etre alors de la meme forme que le signal d'entrée ( quand f = 0 cos (0) =1 ) avec une atténuation sur les cotés (cos < 1 )" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "id": "1e819db6", + "metadata": {}, + "outputs": [], + "source": [ + "%signal dent de scie\n", + "xd_filtered=filter([1/2],[1/2],xd);\n", + "yd_filtered = fftshift(fft(xd_filtered));\n", + "moduled_filtered=abs(yd_filtered);\n", + "sound(xd_filtered,fs);" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "%signal carre\n", + "xc_filtered=filter([1/2],[1/2],xc);\n", + "yc_filtered = fftshift(fft(xc_filtered));\n", + "modulec_filtered=abs(yc_filtered);\n", + "sound(xc_filtered,fca);" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "id": "4b2b1deb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "figure;\n", + "% Spectre signal carré avant filtration\n", + "subplot(2,2,1);\n", + "plot(fc, modulec, 'b-', 'LineWidth', 0.5);\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');\n", + "title('spectre du signal Carré - Avant Filtration');\n", + "grid on;\n", + "\n", + "% Spectre signal carré après filtration\n", + "subplot(2,2,2);\n", + "plot(fc, modulec_filtered, 'r-', 'LineWidth', 0.5);\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');\n", + "title('spectre du signal Carré - Après Filtration');\n", + "grid on;\n", + "\n", + "% Spectre signal dent de scie avant filtration\n", + "subplot(2,2,3);\n", + "plot(fd, moduled, 'b-', 'LineWidth', 0.5);\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');\n", + "title('Spectre du signql dent de Scie - Avant Filtration');\n", + "grid on;\n", + "\n", + "% Spectre signal dent de scie après filtration\n", + "subplot(2,2,4);\n", + "plot(fd, moduled_filtered, 'r-', 'LineWidth', 0.5);\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Amplitude');\n", + "title('Spectre du signql dent de Scie - Après Filtration');\n", + "grid on;\n" + ] + }, + { + "cell_type": "markdown", + "id": "2d789bd1", + "metadata": {}, + "source": [ + "En comparant les figures du spectre du signal carré et dent de scie avant et après filtration, nous confirmons bien la théorie qui dit que le spectre théorique de sortie doit etre de la meme forme que le signal d'entrée ( quand f = 0 cos (0) =1 ). Cependant, nous n'observons pas d'atténuation car les signaux ne s'étendent pas sur une plage de fréquence assez élevée. " + ] + }, + { + "cell_type": "markdown", + "id": "be731551", + "metadata": {}, + "source": [ + "<p><b>Question 2.3</b></p>\n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "40c20e3f", + "metadata": {}, + "outputs": [], + "source": [ + "%signal dent de scie\n", + "n_sig = length(yd);\n", + "len_attack = round(n_sig * 0.001); \n", + "len_decay = round(n_sig * 0.008);\n", + "len_sustain = round(n_sig * 0.90); \n", + "len_release = n_sig - (len_attack + len_decay + len_sustain);\n", + "\n", + "A = linspace(0, 1, len_attack); \n", + "D = linspace(1, 0.8, len_decay); \n", + "S = linspace(0.8, 0.8, len_sustain); \n", + "R = linspace(0.8, 0, len_release); \n", + "\n", + "envelope = [A, D, S, R];\n", + "\n", + "if length(envelope) > n_sig\n", + " envelope = envelope(1:n_sig);\n", + "elseif length(envelope) < n_sig\n", + " envelope = [envelope, zeros(1, n_sig - length(envelope))];\n", + "end\n", + "\n", + "toned = xd .* envelope;\n", + "\n", + "% Jouer le son avec l'enveloppe\n", + "sound(toned, fs);" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "id": "a38f437b", + "metadata": {}, + "outputs": [], + "source": [ + "%signal carre\n", + "n_sig = length(yc);\n", + "len_attack = round(n_sig * 0.001); \n", + "len_decay = round(n_sig * 0.008);\n", + "len_sustain = round(n_sig * 0.90); \n", + "len_release = n_sig - (len_attack + len_decay + len_sustain);\n", + "\n", + "A = linspace(0, 1, len_attack); \n", + "D = linspace(1, 0.8, len_decay); \n", + "S = linspace(0.8, 0.8, len_sustain); \n", + "R = linspace(0.8, 0, len_release); \n", + "\n", + "envelope = [A, D, S, R];\n", + "\n", + "if length(envelope) > n_sig\n", + " envelope = envelope(1:n_sig);\n", + "elseif length(envelope) < n_sig\n", + " envelope = [envelope, zeros(1, n_sig - length(envelope))];\n", + "end\n", + "\n", + "tonec = xc .* envelope;\n", + "\n", + "sound(tonec, fca);" + ] + }, + { + "cell_type": "markdown", + "id": "0d5b10f3", + "metadata": {}, + "source": [ + "En écoutant les sons avec la même enveloppe, nous constatons que les sons ne sont pas du tout similaires par rapport à la synthèse additive," + ] + }, + { + "cell_type": "markdown", + "id": "51ccb620", + "metadata": {}, + "source": [ + "<p><b>Question 2.4</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "id": "23ea9ade", + "metadata": {}, + "outputs": [], + "source": [ + "d = designfilt('lowpassfir','FilterOrder',2,'HalfPowerFrequency',0.25);" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "id": "8c7dbf05", + "metadata": {}, + "outputs": [], + "source": [ + "%signal carre\n", + "xc_filtered_2 = filter(d, xc);\n", + "tonec_2 = xc_filtered_2 .* envelope;\n", + "sound(tonec_2, fca)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "id": "729a5b7d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<html><body><pre>n = 200</pre></body></html>" + ], + "text/plain": [ + "n = 200" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%signal dent de scie\n", + "xd_filtered_2 = filter(d, xd);\n", + "n=min(length(xd_filtered_2),length(envelope))\n", + "toned_2 = xd_filtered_2(1:n) .* envelope(1,n);\n", + "sound(toned_2, fs)" + ] + }, + { + "cell_type": "markdown", + "id": "6655a2a2", + "metadata": {}, + "source": [ + "Avec d'autres paramètres :" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "id": "6b17e390", + "metadata": {}, + "outputs": [], + "source": [ + "d2 = designfilt(\"bandpassfir\", ...\n", + " FilterOrder=20,CutoffFrequency1=400, ...\n", + " CutoffFrequency2=450,SampleRate=1500);" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "d26e6f8c", + "metadata": {}, + "outputs": [], + "source": [ + " %signal carre\n", + "xc_filtered_2 = filter(d2, xc);\n", + "tonec_2 = xc_filtered_2 .* envelope;\n", + "sound(tonec_2, fca)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "45f5a4da", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<html><body><pre>n = 200</pre></body></html>" + ], + "text/plain": [ + "n = 200" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%signal dent de scie\n", + "xd_filtered_2 = filter(d2, xd);\n", + "n=min(length(xd_filtered_2),length(envelope))\n", + "toned_2 = xd_filtered_2(1:n) .* envelope(1,n);\n", + "sound(toned_2, fs)" + ] + }, + { + "cell_type": "markdown", + "id": "b9f5fbf3", + "metadata": {}, + "source": [ + "Nous avons testé différents paramètres mais nous sommes toujours très loin du son d'un piano." + ] + }, + { + "cell_type": "markdown", + "id": "2add7d05", + "metadata": {}, + "source": [ + "<!DOCTYPE html>\n", + "<html lang=\"fr\">\n", + "<body>\n", + " <h2>Effets audio-numériques</h2>\n", + "</body>\n", + "</html>" + ] + }, + { + "cell_type": "markdown", + "id": "3ce9bebf", + "metadata": {}, + "source": [ + "<!DOCTYPE html>\n", + "<html lang=\"fr\">\n", + "<body>\n", + " <h3>Mesure de réponse impulsionnelle</h3>\n", + "</body>\n", + "</html>" + ] + }, + { + "cell_type": "markdown", + "id": "02608eff", + "metadata": {}, + "source": [ + "<p><b>Question 3.1</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "e5657ed6", + "metadata": {}, + "source": [ + "On veut exprimer $ R_{yx}$ en fonction de $R_{xx}$ et de h<br>\n", + "On a $R_{yx}(u)=y(u)*x^*(-u)$<br>\n", + ", $R_{xx}(u)=x(u)*x^*(-u)$<br>\n", + "et $y(u)=x(u)*h(u)$.<br>\n", + "On a alors $R_{yx}=x(u)*h(u)*x^*(-u)=x(u)*x^*(-u)*h(u)=R_{xx}*h(u)$<br>\n", + "d'ou $R_{yx}=R_{xx}*h(u)$<br>" + ] + }, + { + "cell_type": "markdown", + "id": "9689c690", + "metadata": {}, + "source": [ + "<p><b>Question 3.2</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "c797c9d3", + "metadata": {}, + "source": [ + "D'aprés la question 3.1 on a $R_{yx}=R_{xx}*h(u)$ en supposant que $R_{xx}(u)\\approx d(u)$ <br>\n", + "$R_{yx}=d(u)*h(u)$ <br>\n", + "d'ou $y(u)*x^*(-u)=d(u)*h(u)$ <br>\n", + "on peut passer à la transformer de fourier et on obtient $Y(v).X^*(-v)=D(v).H(v)$<br>\n", + "Sachant que $D(v) = 1$ (transformé de Fourié d'un Dirac )<br>\n", + "on obtient alors $H(v)=Y(v).X(-v)^*$<br>\n", + "$h(u)=IFFT(H)$<br>\n", + "\n", + "Ainsi, en repassant dans le domaine temporel, $h(u)$ est également l'intercorrélation entre $y(u)$ et $x(u)$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "8491cdd6", + "metadata": {}, + "source": [ + "<p><b>Question 3.3</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "bfc9bb87", + "metadata": {}, + "source": [ + "Le signal le plus adapté comme signal d'excitation pour mesurer la réponse impulsionnelle de la pièce est le signal xe1 : \n", + "En effet pour supposer que $R_{xx}(u) = d(u)$ soit nul ou casi nul partout sauf en 0 donc on prend le signal à qui l'autocorrélation ressemble le plus à un Dirac " + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "6b452352", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "load('signal_excitation.mat');\n", + "[acf1, lags1] = xcorr(xe1);\n", + "[acf2, lags2] = xcorr(xe2);\n", + "\n", + "figure;\n", + "subplot(2,1,1);\n", + "plot(lags1, acf1);\n", + "title('Autocorrélation de xe1');\n", + "xlabel('Décalage');\n", + "ylabel('Corrélation');\n", + "\n", + "subplot(2,1,2);\n", + "plot(lags2, acf2);\n", + "title('Autocorrélation de xe2');\n", + "xlabel('Décalage');\n", + "ylabel('Corrélation');" + ] + }, + { + "cell_type": "markdown", + "id": "e258b580", + "metadata": {}, + "source": [ + "<p><b>Question 3.4</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "a0cc85bb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+yCOPbN68OYRw9tlnZxxk5cqVw4cPP++888rKyiZPnhydedKqVavLL788hHD99dePHTs2hDBz5szRo0ePHj16xYoVP/vZz6J99957729/+9tZVjt8+PAvvvgihLBgwYIrr7zy//yf/5NKpaZMmRLd27p164MPPrhDhw41rb+hVd8//fr1i34jX7Ro0eDBg4cPH/7EE0988skn1R8zm66ouFc9vhbZq8U7qn6Pk82OWfZn+nSvH/zgB3/84x8rXmO3LrJ8jrXuiq5du5599tnRGWKPPvroxo0bTzjhhDfeeOPee++tRRnZSBbNCyFMnjz57LPPXrZs2XXXXVdWVhY1JjeqUv3HJ0P2lY8fP/7KK68MITzzzDPf+MY3/v3f//2Pf/xjkr5OOeWUVq1a1WM/ADnTCAtBAM1RNReKTaVSyTUijz766Kjl448/7tu3b6X/zowYMWLz5s3RZskyU5WefjNu3Lhos/Ly8vTLnqTbaaedXn755YyjVb+YW7LqV0Vjx46tUf0VZXmt0mRN5NNPPz1pHDNmTNRYcRW76vvn17/+dcV7k6+V1VwoNpuuyNgry9ci+5cjy82yeUWy6fxav7LZ7JhNf6ZSqYzjVH+h2Fq8bbJ8jrXuivfffz9ZujpRUFCQvEuj6yDV14fo448/TtZIrNSFF15Y6XGy/PhU+ojZVF5WVpZ+Vat0AwcOTFb1rHU/AE2EKXZA5dLPh04/QTySXPrw5ZdfjgaRunbt+sYbb1x66aXppy937NjxiiuuePbZZ9Ovbhn5f//v/33nO99JTvLu3LnzxIkT77zzzujPVq1azZo1684770y/HmWbNm1GjRr11ltvfe1rX6um8orVPvrooz/84Q979uyZ3tizZ88bb7wxGQmpaf3pVW33RqVVVV9z9f3z7W9/+/bbb0+O36pVq5NOOum//uu/tltbNl2RsVddXovtPvFqNsvmFcmm82v9ymazYzb9GUKYMWPG0KFDM46fUWpd3jZZPsdad0Xfvn3nz58/YsSI5BE7dOgwbdq0fffdN72S+voQde3a9amnnvrKV76SvsH3v//9JI7Onz+/mm4J2/v4VPqI2VReWFj4wgsvTJw4MZlrFz33MWPGzJ07N1lysNb9ADQRBalarbEDUJVt27a9//77JSUlPXv27N+/f8bqZLvuumt0Yvedd945bty4L774YtGiRT169BgwYEBV8/JXr1797rvvduvWbeDAgdkvY1VRWVlZcXFxdBJIr169+vfvn74GV5b1N7Qa9c+XX375+uuvl5aWDh06NPntPBtZdkVF9fVa1Eh9vSK1Ps52d8yyPzdt2vTpp5+2atWqS5cuWebGmsryOda6KzZu3PiXv/wlWvKhmvdMvbxk5eXl77333qpVq3r37t2/f/9sckUt/nmpdeUrV6587733evTo0b9//4xF82pxNKBJEZAa3IYNGxYvXrxixYo+ffrsu+++yS9M6Ru8++67K1as6Nmz5957753+uxS0PBnfYHJdTpOjf6DWfHyAemGRhgaUSqUefPDBSZMmJReR2Gmnna644opzzjkn2ebJJ5+89dZbo9N8Qwht27YdO3bsJZdckoNyAQAg7wlIDWjGjBm33XZb69atzznnnAEDBsyfP/+ZZ56ZMGFCt27dTjjhhBDCggULxo8fn0qlTjzxxGHDhi1evPjXv/71pEmTevXqNXr06FyXDw2idevW0eSiaq6Rms/0D9Sajw9QL0yxayjl5eVHHHHEJ5988pOf/CRJO3ffffcvfvGLr371q48++mgI4cILL3z55ZfPPPPMG264IdpgypQpEydO7N+//3PPPZez0gEAIF/5iaWhrFy58pNPPundu/eoUaOSxm9961shhOjqiqWlpdE6PBdddFGywVlnndWuXbtly5Y1xMUEAQCA6glIDWXjxo39+vU79NBD01fO2bBhQwihY8eOIYRVq1aVlpZ269Yt/eIS7dq123vvvUMIxcXFjV4yAADkO+cgNZRBgwb9/ve/z2h88MEHQwgHHHBACCG65n2PHj0ytunevXsIYe3atY1RJQAAkEZAaiTbtm37yU9+8pvf/KZNmzZXXHFF1BL+9YKAkehSD8nCd5UaOHBgg1UKAECzt2TJklyX0FwJSI1h2bJl48ePX7RoUfv27e++++7o6uBRQKqovLw8hLDdS9p509fRwIED9WHd6ca604f1QjfWnT6sF7qx7vRhvfBjel0ISA2rvLx8ypQp99xzT2lp6ZAhQ+64446ioqLorrZt24YQNm7cmLHL5s2bk3sBAIDGJCA1oK1bt1511VWzZs3q2LHj9ddff+qpp6aPC0XnGq1YsSKVSqW3R8szVDw3CQAAaGhWsWtAd95556xZswYMGDBz5szvfOc7GbPmevfu3aFDh40bN7799ttJ4yeffPLBBx8UFBT069ev0esFAIB8JyA1lNWrVz/00EPt27efPn16r169Km5QWFh4+OGHhxDuuOOO5Hyk22+/vby8fP/99+/atWujlgsAAJhi13BeffXVrVu3tm7d+pprrsm4q1evXrfeemsIYdy4cXPmzJk/f/4RRxwxbNiwN954Y8WKFQUFBVdffXUuSgYAgHwnIDWUd955J4SwadOmefPmZdy15557Rjf69u07ffr0G2644W9/+9uzzz4bQujdu/f1118/bNiwRq4WAAAIIRSkUqlc10CNWQGz7kpKSpIVBak13Vh3+rBe6Ma604f1QjfWnT6sF74r1oVzkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAmr0znlqd6xIAaCEEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYq1zXUC+KC4ufuWVV0488cRddtklvX3VqlUbN27M2Lhz585dunRpxOoAAIAQBKRGc/fddz/33HN77bXXV7/61fT2iy++eNmyZRkbX3rppePGjWvE6gAAgBAEpEbw5ZdfTp069bnnnqt415YtW0pKSnr06HH88centw8dOrSxqgMAAP5JQGpAL7744sSJE5cvX75ly5ZKN1i6dGl5efnw4cOvu+66Rq4NAACoSEBqQKlUqqysrE+fPiGEDz74oKysLGOD9957L4Sw995756A4AACgAgGpAR155JFHHnlkdPvSSy+dPXt2xgZLliwJIfTs2fOxxx5bvnx5jx49hgwZcsABBzR2oQAAQAhBQMqtKCBdeeWVW7duTRpHjx596623tm3btvp9Bw4cWLFx1qxZ9VthC7Zy5cpcl9AS6Ma604f1IjqlM9dVNG/eivVCN9adPqyR4447LtcltEACUi5FAWm//fY788wze/ToMW/evClTpsycOXP33Xe/4oorstmXuigqKsp1CS2Bbqw7fVh3O+ywWjfWnT6sF7qx7vRh9qr6QljpL+lkSUDKmfLy8osuuqhVq1ZnnnlmmzZtQgjDhg0bMGDAlVdeOWXKlP/8z/8sLCzMdY0AAJBfWuW6gPxVWFh4wQUXnHfeeVE6ipx00kndu3cvLS01VwQAABqfgJQz27Zt+/LLL0tLSzPau3TpEkL4+9//nouiAAAgrwlIOfPCCy8ceOCB11xzTXrj5s2bo7Ejs28BAKDxCUg5M3jw4BDCH//4xwULFkQtqVRq0qRJmzZtGjBgQO/evXNaHQAA5COLNORM7969zz777Icffvicc845+uije/XqtXDhwrfeeqtNmza33HJLrqsDAIB8JCA1kkqXpLv22mu7des2ZcqU559/Ptpm6NChN998s5UZAQAgJwSkRnLPPfdUbGzduvWYMWPGjBnT+PUAAAAVOQcJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgAAQExAAgAAiAlIAAAAMQEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgB5oe+EebkuAYBmQEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMRa57qAfFFcXPzKK6+ceOKJu+yyS8ZdGzZsePfdd1esWNGzZ8+99967S5cuOakQAAAQkBrJ3Xff/dxzz+21115f/epX09uffPLJW2+99Ysvvoj+bNu27dixYy+55JJc1AgAAPlOQGpwX3755dSpU5977rmKdy1YsGD8+PGpVOrEE08cNmzY4sWLf/3rX0+aNKlXr16jR49u/FIBACDPCUgN6MUXX5w4ceLy5cu3bNlS6Qb33ntvKpU688wzb7jhhqhljz32mDhx4r333isgAQBA47NIQwNKpVJlZWV9+vTp169f69aZWbS0tHT+/PkhhIsuuihpPOuss9q1a7ds2bIPP/ywUWsFAAAEpAZ15JFH/v4fjjjiiIx7V61aVVpa2q1bt969eyeN7dq123vvvUMIxcXFjVorAABgil0OffLJJyGEHj16ZLR37949hLB27drqdx84cGDFxlmzZtVTdS3fypUrc11CS6Ab604f1ostW7aUlJRUv01ZWdl2t8ln3or1QjfWnT6skeOOOy7XJbRAAlLObNu2LYTQpk2bjPYddtghhFBaWlr97kuWLGmgwvJHUVFRrktoCXRj3enDutthh9Xb7cbWrT/U1dXTP/VCN9adPsxeVV8IK/0lnSyZYpczUUCqqLy8PIRQUFDQuOUAAAACUu60bds2hLBx48aM9s2bNyf3AgAAjUlAypnoXKMVK1akUqn09mh5hornJgEAAA1NQMqZ3r17d+jQYePGjW+//XbS+Mknn3zwwQcFBQX9+vXLYW0AAJCfBKScKSwsPPzww0MId9xxR3I+0u23315eXr7//vt37do1p9UBAEA+sopdLo0bN27OnDnz588/4ogjhg0b9sYbb6xYsaKgoODqq6/OdWkAAJCPjCA1ksLCwoqNffv2nT59+oABAz7++ONnn312xYoVvXv3njx58rBhwxq/QgAAwAhSI7nnnnsqbT/wwAOfeeaZRi4GoIV5ZdWmXJcAQAthBAkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUhz0ywZAAAgAElEQVQAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAABATEACAACICUgAAAAxAQkAACAmIAEAAMQEJAAAgJiABAAAEBOQAAAAYgISAC1fwVWzc10CAM2DgAQAABATkAAAAGICEgAtzcjJi3JdAgDNlYAEAAAQE5AAaOEMKAGQPQEJAAAgJiABAADEBCQAAICYgARAS3DzrOJclwBASyAgAQAAxAQkAACAmIAEAAAQE5AAaDlc8giAOhKQAAAAYgISAABATEACoIUrWb8p1yUA0GwISAAAADEBCQAAICYgAdBymE0HQB0JSAAAADEBCQAAICYgAQAAxAQkAACAmIAEQB4ZOXlRrksAoEkTkAAAAGICEgAAQExAAqBFuXlWca5LAKAZE5AAAABiAhIAAEBMQAIAAIgJSAC0HCXrNue6BACaNwEJAAAgJiABAADEBCQAAICYgAQAABATkAAAAGICEgDNWN8J83JdAgAtioAEAAAQE5AAAABiAhIAAEBMQAIAAIgJSAAAADEBCQAAICYgAdBC3DyrONclANDsCUgA5IWSdZtzXQIAzYCABAAAEBOQAAAAYgISAC1ByXoz6ACoBwISAABATEACAACICUgAAAAxAQkAACDWOtcF5LtVq1Zt3Lgxo7Fz585dunTJST0AAJDPBKQcu/jii5ctW5bReOmll44bNy4n9QA0Ly7/CkD9EpByacuWLSUlJT169Dj++OPT24cOHZqrkgAAIJ8JSLm0dOnS8vLy4cOHX3fddbmuBSBfjJy8aM5lfocCoHIWacil9957L4Sw995757oQgGZv+murKzYWXDU7/c+RkxdlebTzZyyuh5oAaIaMIIUQQllZ2UsvvVRcXLx27dprrrnm7bffLioq6tChQ0M/7pIlS0IIPXv2fOyxx5YvX96jR48hQ4YccMABDf24AABApQSkcP/990+fPn3t2rXRn9dcc83EiRMXLVo0ZsyYyy67rEEfOgpIV1555datW5PG0aNH33rrrW3btq1+34EDB1ZsnDVrVv1W2IKtXLky1yW0BLqx7vRh3ZWUlEQ3Pv300+i/mzdvThpLSkrKysqi25s3bw4hvLJqU3JvVb744ovtbtPCeCvWC91Yd/qwRo477rhcl9AC5XtAuv3226dNmxZC6N69+5o1a6LGjh07bt68+Wc/+1kIoUEzUhSQ9ttvvzPPPLNHjx7z5s2bMmXKzJkzd9999yuuuCKbfamLoqKiXJfQEujGutOHdfN+UVFRCO+HEHbdddcQ1u+6667t1n76j159v6ioqHXrD0MoCyG0a9cuhBDCpu32+U47bX+blicPn3JD0I11pw+zV9UXwkp/SSdLeX0O0oIFC6ZNm1ZYWPijH/3opZde6tq1a9T+05/+NFple+rUqV988UUDPXp5eflFF130gx/84OGHHx49evSwYcPGjRt3xx13hBCmTJlSXl7eQI8LAABUJa8D0vz580MI559//qmnnpre3qZNm0svvbSoqOiLL76I1lFoCIWFhRdccMF5553Xpk2bpPGkk07q3r17aWlpvk3tAGhM2a/WAEC+yeuA9Je//CWEMHLkyErvPeigg0IIq1dXsixSvdi2bduXX35ZWlqa0d6lS5cQwt///vcGelwAAKAqeR2QOnfuHEL48ssvK703iii9evVqoEd/4YUXDjzwwGuuuSa9MTmx2OxbgDqqZqnukvWbtrt7xhLhAOSJvA5I++23Xwjh4YcfrnjX4sWLX3311YKCgoY7xW3w4MEhhD/+8Y8LFiyIWlKp1KRJkzZt2jRgwIDevXs30OMC5JVqZtP1nTCvMSsBoFnI61XsTj755ClTprz00ktjxoz5j//4j2it7Y8++ujll1++6667SktLR48e3XBXQ+rdu/fZZ5/98MMPn3POOUcffXSvXr0WLlz41ltvtWnT5pZbbmmgBwUghFCybnOuSwCgicrrgLTrrrv+5Cc/GTNmzNy5c+fOnRs1HnnkkdGNfv363XzzzQ1awLXXXtutW7cpU6Y8//zzIYTCwsKhQ4fefPPNVmYEqLWS9VWGn7nL1o/o36kxiwGg2cnrgBRCGDZs2KxZsyZOnDh37twNGzZEjb179z7nnHPOPPPM7V6ttY5at249ZsyYMWPGNOijAAAAWcr3gBRC6N69+8SJE0MIH3/88Zo1a/r06bPrrrvmuigAACAHBKR/6tatW7du3XJdBQAAkDN5F5Auu+yyDz74IPvtp06d2qNHj4arB4AmbuTkRXMuG5rrKgBoJHkXkJYvX7506dLsty8rK2u4YgBogvpOmGctB4C8lXcB6cYbb0y/Muz06dNfeeWV9u3bf/3rXz/ooIN22WWX1atXP/PMM6+++moI4eabb+7SpUvuigWg9qzlDUAt5F1AGjZsWHL7rbfeevXVV3fZZZfHHnusb9++Sft3vvOdhx56aMKECQ8//PBpp52WizIBqDeSEgDZa5XrAnLpqaeeSqVSl19+eXo6ipxzzjn77rvv0qVLV65cmZPaAGgIJes31XrfkZMX1WMlADRNeR2Qli1bFkLYb7/9Kr13n332CSEsXry4UWsCoM7mLltfxyMYdALIW3kdkKLrHX344YeV3rt8+fIQws4779yoNQFQWyXra5lq0oeG+k6YV0/lANAs5XVAGjx4cAjhwQcf3LQpc8bFiy++uHDhwoKCgqrGlwBoIuo4883EOQDS5XVAOuaYY3bcccc333zz9NNP/81vfvPBBx+sW7fu7bffvuOOO8aOHVteXn7MMcfstNNOuS4TAABoJHm3il26oqKiH/3oR1dfffW777577bXXZtzbr1+/22+/PSeFAVBr019bnc1m6VPp6rJyAwAtTF6PIIUQRo0a9dRTTx111FFt27ZNGnv27HnNNdc89dRTho8AWqraLcPgDCWAFi+vR5Ai++yzz7333rtt27aPPvro888/32233Tp06JDrogDImZJ1m4s67ZjrKgDIjbwOSJs2bdq8+Z+/IO6444477rhjaWlpaWlp0rjLLru0apXv42wAhBDmLltf1LldrqsAoGHldUCaMmXKPffcU/02s2fP7tOnT+PUA0ATFF1VKZlc13fCvOLxh+W0IgAakLGR6uyyyy477LBDrqsAoEG4GiwAFeX1CNKll1560UUXZTSuXbt24cKFd91118aNG6dNm9a1a9ec1AZAzo2cvGjOZUNzXQUAjSqvA1Lr1q1bt87sgd1222233XY78MADv/71r1988cUvv/xyQUFBTsoDoDGdP2NxNJsOgHxmil3ldt999+HDh3/yySfvv/9+rmsBoDFUfwEl8/EA8oSAVKXCwsIQwpIlS3JdCAANbuTkRbkuAYAmQUCq3GeffTZnzpwQQvfu3XNdCwAN5fwZizNajBQB5Lm8Pgdp3rx58+ZVck301atXz549e9OmTe3bt99rr70avzAAmpRkjW8AWry8DkgLFy781a9+VdW9rVq1Gj9+/M4779yYJQHQoKofIDJ8BEBeB6T99tvvjDPOqNjetm3bnj17Hn300XvuuWfjVwVAE5ex/LdLxwK0JHkdkEaOHDly5MhcVwFAM1OyftN2t3ENJYBmKq8Xafjzn//805/+9I033qj03v/+7//+6U9/umHDhkauCoC6u3lWca5LAKBZyuuAtGDBgvvuu++dd96p9N6nnnrqvvvu+/zzzxu5KgBaDKs7ADQ7+TjFbuHChVu3bg0hrFy5MoRQXFz8yiuvZGzz5ZdfFhcXhxDatm3b+BUC0MQVXDU7NemoXFcBQP3Lx4A0duzYtWvXJn9Onz59+vTplW7ZsWPHzp07N1JZAABAruVjQOrdu3f79u1DCJ999tmGDRs6deq00047ZWzTqlWrbt26nX322YWFhbmoEYBmbOTkRbkuAYBayseA9MQTT0Q3fv7zn99zzz3jxo07/fTTc1sSAM2Us4wAWpi8XqShe/fu++67r0l0AFTPBWQB8kdeB6TTTjvtqaeeOvbYY3NdCADNXjKUFK0wXum1ks6fsbhRawKg5vJuit3dd9/9wQcfDBo06MILL3z++eeff/756re/7rrrDDEBNEEjJy+q5oKtc5d9OnfZ+sasp1KGngCanbwLSLNmzVq6dOmGDRsuvPDCJUuWzJw5s/rtv/e97zVOYQA0HdWEq5J1m4s6t2vMYgBoTHkXkM4+++z169fvueeeIYRDDz20devt9MDOO+/cKHUBUFdNYcgIgOYu7wJS+oJ1Bx100EEHHZTDYgBo4gqump3rEgBoVHm9SAMALVXjjyY53QigZci7EaSJEyf+/e9/z357izQAUHd9J8wrHn9YrqsAYPvyLiDNnTt36dKl2W9vkQaAvNVcTmqSvgDqUd4FpAsuuGDNmjXZb2+RBgCq4rpGAC1P3gWkb33rW7kuAYAmpJqLKVWy8brNoerTjQqump2adNTcZZ9Wc4SM0Z6aDv4YLAJoaHkXkCq1adOm119/vaSkZN26dX369CkqKtp///0LCgpyXRcA25eriXBNYfhIXgKod/kekLZt2/bQQw/df//9a9euTW/fZ599rrnmmsMO8/86AFQn47qxN88qTtqz3L1BygKgtvJ9me9Jkybddttta9eubd26db9+/YYMGdKjR48QwjvvvHPxxRcvWrQo1wUC0HRNf211qFXIGTnZ/78ANFF5HZBee+21KVOmhBBOPfXUuXPn/v73v3/sscdefPHFxx57bN999y0rK7vyyitzXSMAjaG+5umVrG+QEaGmMJ0PIE/kdUD685//HEI47rjjfvSjH3Xr1i1pHzJkyAMPPNClS5cPP/xw5cqVuSsQgBrI4XS1JMDUImjVS/jpO2Fe3Q8CQMjzgPTWW2+FEL7xjW9UvGvXXXcdNmxYCOGdd95p7LIAaCxzl61v6FiVRJeMICTSADRNeR2Q2rdvH0LYcccdK723sLAwhNCqVV53EQB1t90sZAYdQNOR19/+99133xDCSy+9VPGuTZs2zZ8/P4QwePDgxi4LgJal7oNU0WoQADSCvA5Io0aN6tmz5wMPPDBjxozy8vKkfe3atVdcccWaNWtGjRoVLWoHQBNUX7Pjanec9NCy3QBT61ILrppdux0BqJ28vg7S4sWLd999948++ujGG2+8//77DzzwwJ122umjjz6aN2/eli1bQgitWrW64YYbku2PPfbY4cOH565eAP6pZP2mXJdQpWyWanAFJICmKa8D0ttvv/3aa69Ft1etWrVq1aqMDX73u9+l/7nHHnsISADUUd8J84o6VX76KwA5l9cB6aCDDhozZkz22x9wwAENVwwAeaJk3eYoINVo+lzfCfOKxx/WYEUBEMvrgHTooYceeuihua4CgHwx/bXVRZ3bZbNlpXGoqsXuzNYDqEd5vUgDADScm2cV5/DRLR0OUDt5PYIUQtiwYcPvfve7pUuXlpaWVrrBNddc06lTp0auCoB8U3DV7NSko+p4kPNnLJ52+qB6qQcgb+V1QPr0009POeWUimszpLv88ssFJACylJxfFEK46fnikDb/rV6uZVSybvPIyYvmXDY0+0Dl5CWAGsnrgPTII4+sWrWqsLBwxIgR/fr1a9OmTcVtOnbs2PiFAZA/pr+2+ryDe213s5J1m0P/ENLWEO87YV76Bn0nzBvRv1NGi2gEUFN5HZDeeeedEMK4ceMuueSSXNcCQAuRzQWaMi6UFA0u1e8EuewXhMgQjVDVVxkAzU5eL9KwefPmEMKBBx6Y60IA4J8y1lcYOXlR9Rs0kIwRKoA8kdcBaciQISGEl19+OdeFAJAvql+Su2IW2q5krbySdZurOs2pFocFyFt5HZCOOeaYtm3bPv3008XFuVyJFQBqIcpaJeu3cxEkV0kCqJG8Pgdp0KBBP/7xj8eNG3f88ccPGTJk8ODBFbcZO3bsLrvs0vi1AdBM1WMgyZjklgwQZZzCVCMjJy8qWb/J4g0AVcnrgLR27dq77roruv3Xv/71r3/9a8Vtzj//fAEJoAlqeQMj019bHS1DlzFTri5xqKb6TpiXLFMOkJ/yOiA9/fTTJSUlBQUFhxxyyFe+8pXWrSvpjZ122qnxCwMgP6VnoYKrZtduGbpEeoas9LpJDboOuKvWAs1UXgekRYsWhRCuuOKKSy+9NNe1AJADLW8Yqtau+ePHj19UlOsqAHIvrxdpaNWqVQjh0EMPzXUhAFBLGfPxqlmbu6rFwSvdpY4L31V6TOuGA81CXgekoUOHhhCWLFmS60IAIFZw1ezsN25GI2DSEdBc5HVAOv7447t37/6zn/1s+fLlua4FALKVfS6qGLfmLlsf7R4llvT/JqoPM9G9yZGzGWtqnCvbAtSLvD4H6eOPPz7qqKNmzJgxatSoY489tlevXhW3ueSSS3beeefGrw0A6ku09sP011ZnJKuSdZurXwciYxWHkZMXzblsaMm6zcnVaatR08cCaCLyOiD9z//8z4wZM0IIpaWlzzzzTKXbnHHGGQISADlRuxl0589YXNOVwUvWbT6oR5v0Pysu9l3VSFHJ+k2Vts9dtr7SpfMAmri8Dkj77bffGWecUf02HTp0aJxiAKDuStZtnr5udS3GalZuKKu0PRpEiq6PlJG7ogGl5M9oHl20tHcS7aK0Fl3fCaBZyOuANHLkyJEjR1Z1b3Fx8RNPPFFeXt6YJQFA3dVu6Cn9ykvpWWi76ytkXPKo8ddjcM0loB7l9SINldq0adPTTz995plnHn/88VOmTNm8udksEASQP5z0XztJ7Cm4anYUopIo9cqqymfKZYjCz/QFq0Nlk+umv7a60pcmetzksaJTmGq0Xl+WvDGAusvrEaQMb7/99uOPP/7MM898/vnnUUtBQUF0rSQAyAeVnn0Ura+QPqZU6QhVxhWZAJop3/7D559//uijj37zm9885ZRT/vu//ztKRwMGDLj66qvnzJlT6dJ2AORWM7r+T9OXTWdWtU00YpMejTJiUrKqeLpoACpD7QaUzp+x2BWWgPqV1yNIr7322uOPPz5r1qz0eXRHH330f/7nf+6zzz45LAyA+lLVGmtUJfsV8Gq3IETfCfOSyFRw1ewR/Tulr/SQoZqTi0ZOXlTVQ0er52WsUZ4Ny+4BIT9HkD755JMpU6Ycd9xxZ5111m9/+9vNmze3a9fuhBNO2HfffUMII0aMkI4AWgxjTY2jykXA//VMp+R2pdsnjRkXsR05edHNs4qTM5eSqzBVupJENheubQi5elyg3uVdQLrxxhuPPPLIiRMnlpSUtGrV6rDDDrvtttvmzZt311137b333rmuDgCatLrMxwtVL6KQzK8bOXlRFHWSvBEd7abn/2Vdh4KrZkdjg+mPdf6MxRkT/Kq5oG36xLz0bJPsYr0HyFt5F5AWLFhQVlbWpk2ba6655sUXX5w2bdopp5yS24sdbdiwYf78+U8++eT//u//rl27NoeVAEBNRREly4l5FRdySN9x7rL1yZTI6OSlaPuMeZJRWKq4WfTf6IDJMn3hH1mo+hGeqs6ASm/fbrpLX53PmVHQfOVdQIps3br1wQcfnDZt2pIlS3JbyZNPPjly5Mizzz77uuuuu+CCC0aMGHH//ffntiQAaEz1st53pcNWJevjCX5ROooeKPpvybrNVaxI/mlVUSojBGY/xBQFp/TIVHDVbCNU0GTlXUD6xS9+cdFFF3Xt2nXNmjVTp049+eSTTz755KlTp65Zs6bxi1mwYMH48eO/+OKLE0888aabbjrttNO2bt06adKkmTNnNn4xANBoqhpxKlm3uWLUqTz8VLZlhumvrY7i0Nxl65ORpeS/0b1JHEq2jG7PXbY+fUZfMiTVd8K8+GJQaaNhIycvKlm/ae6yT3/26vpQYWpfMuR1/ozFSS6q9ASq6BFHTl6UXhjQyPIuIBUVFUWT637xi1+MGDGisLBwyZIlP/7xj4888shnnnkmhJBKpRqtmHvvvTeVSp155pl33nnnGWecccstt1x99dVRe6PVANAcZb/SGs1R5ddZqmxx8LpLslN6S/qf6QNcyehT9GcSlqKZfhk7RgknWWoiSnTTX1td6ey79EUmoimF6QmtGumRz7w+qBd5F5AihYWFxxxzzH333Tdnzpxx48btvvvu27Zt27JlSwjhxz/+8Q9/+MOFCxc2dA2lpaXz588PIVx00UVJ41lnndWuXbtly5Z9+OGHDV0AADQjTWRBwqiMJCllVHXX/PUhhJueL47yUjLuVHEdv5J1m/tOmJd+nOrjUPpwVqgsC1W6BmCoMCoVjYZlbFm/o1XR0YyA0XwVNOaASZOVSqVeffXVxx9//Pnnny8tLY0a99hjj29+85sXXHBBu3Y1u8JDloqLi48//vhu3bq9/PLL6e2nnXbaX//61wceeOBrX/taVfsOHDgw52dPNXclJSVFRUW5rqLZ0411pw9rp17OWoHmoqhzuyhWJTeqctOxfdMXsYiM6N8pY3Sr4nGiHaP2os7tkktIRWsDpiYdNXLyouSKVdE1pm6eVXzT88Uj+ncqWb+pePxhUSKKHig16ajoQxpdVyrad+TkRdG9UT0Zl5xKLkJ16E///OcrD61hD/0L17MKvivWjYD0Lz777LPf/va3TzzxRPKWmj17dp8+fRrisV577bWzzjprv/32e/LJJ9Pbx44d+/zzz0+cOPHkk0+ual9v+rrzrbRe6Ma604e1IyBBnojSWqUf+WriYpL0StZtjvJYUed2RZ12jG4Ujz8sGWFLP0LGYyVbRo1R6IruTQ+i5x3cK4SQXNG4Flcobgi+K9aFgFS5N9988/HHH3/22WdnzpzZu3fvhniIV1999Zxzzhk6dOiMGTPS26+++uqZM2dOmDDh29/+dlX7Dhw4sNL2WbNm1W+Rhz/4Qf0esOkoKytv3bow11U0e7qx7vRh7azcUJbrEgC275A+O4YQdtu59coNZf99Sq96P/5xxx1X1V0CUq21znUBTdTgwYMHDx48fvz4HXbYoYEeYtu2bZW2l5eXhxAKCgqq371x3vQrbixqhEfJCT/b1wvdWHf6sHaMIEHjqzhVr6L0UZ2izu1CtSePJeMwyZGjG9F/k3uTCXtVPVBVRUYFRKNA0YBSVE8y8a/i00nm5iVDTBnDQefPWBwNFiXHzO14UVVfCKv6MZ1sCEjVabh0FEJo27ZtCGHjxo0Z7Zs3b07uBQBatu2eVpQRHqJdotliFTdOzxKV5opINCssWak8mYo257KhBVfNjm4kU8WiG9EpRkl+iKacRSliRP9O0XlKyV3hH/PTkkdMTyPpd914XN+Cq2YnZzeFf/3Z6Mbj+ibPJTlO+saVqngOUqUZpvrjVBV7kql0TWEeHQ1EQMqZ7t27hxBWrFiRSqXSx4uKi4tDCD169MhZZQBN3na/U0IOJe/P9EhT8R0bBZjo/JbzDu4VLXx33sG9otyS7BJ9j68qGERhIPlvdNgk26SPh6SnnWT3ucvWRwMsyZbJjYwAkPHoGZslsSGknbpTze6VHiob201HNT0gVJSny3w3Bb179+7QocPGjRvffvvtpPGTTz754IMPCgoK+vXrl8PaACBPRNOuKhrRv1NVG4/o36mqr+DFY/tl7B7dyIgrlRy5U7vo+NNOH3Tewb2ijJGadFSyS1XBIBoLilSVbdJb0u+advqg6M/qB0OqubfSu7I5JjRlRpByprCw8PDDD//DH/5wxx13PPjgg61atQoh3H777eXl5QcccEDXrl1zXSAANF31Mop43sG9pp0+KJkSlnHAii0ZX/qjQBIthP0v59502jFUEYei2WvJfLNom+i/N1b9QNWIhm6MmUA9MoKUS+PGjdthhx3mz59/xBFHXHnllcccc8zMmTMLCgquvvrqXJcG0KRFX0BpqZJRkWjEJn2QJPt90/cq6tyu4qFSk45KTxdRJok2SM8b0Y7VJ5D0e1OTjppz2dCKAz4ZRxBpoMkSkHKpb9++06dPHzBgwMcff/zss8+uWLGid+/ekydPHjZsWK5LA4AqVTr9rB6ln9BSjYzZcdVUFYWfaPuq5tSFf4SWKCMlCScZzKk+4WQ55pPNKTRZPn2ggQhIOXbggQc+88wzS/5hzpw5Rx3lJyWA7ajmOy7NRfIiFnVuN6J/p/MO7hX9r6rtzzu4V5RJRvTvlLFCWno0mnb6oPS3R7RxdDs96mTEm+Rx08NJTc+iyX6kK5uYBOSKgAQA+ahG89a2KyOTbHfjijPZKj1g+gppyXS4JF1kzLScc9nQioM8cy4bmr5mQLIsQYZ6GbQx8gMtg4AEQPPjm2i9223nhlq3KT0vpSYdVfHCmsmfGaM3NTpLJ/1R6rh+WsV3V/WVeDdCC2MVOwAghCrWhctoPO/gXpVenzSSXPYnctOxfW96vjibh04GhaadPii5emk1kggUXTJ1uysiAGTPCBIAtDR1OUer0n0rbawYQqLNKj3Bpqp5dxWPXOnSC1Xt7mI7QL0TkAAgv8SLuXWqh4UuKsabJMncdGzfSrfcbqTJ2CC36xkYiYI8JCABQL6o48hSJUNGFS5IVWmeqXvMqPSwUaMV4YD6JSABQBNSv4vL1eOjVH9x3krvvfG4vkk0qmrAyhw5oKkRkAAgf6WPC6Uvh/3PDTrtGDVWP1CTzTBO+jhSVcttA+ScgAQA+SJ9nOfG4/pWs+W/7PWvE/PSg016LkpNOipZ8Pq8g3tlf3yAJkVAAoAWoh5XFEhCUXKh1Vo/lnOEgOZFQAKAvJB2OlA8jpQsNFcx7VQ1/y0aI0rPPI1z0hRAoxGQAKCZKercLmPa23aXp8vcvsKSCS+du8d29wLIBwISADS4HCaNhn7oaacPqjgAlZyMlHBKEtBcCEgA0FRkJI3koquJZOyomiXgoolz0X9rN/8teVwLzQF5SEACgOYhY2FEWzwAACAASURBVCyoYnyKZIzVpK9cV3FuXobomJZVAPKZgAQATU5q0lHpA0H1KBoUMuENoCoCEgA0CdHoTcWzd6rfpapxpEiyGEOUiyoe3CQ6gAwCEgA0nooz3JIxooyJbdkM8iS7JDGp0ssTZTQmexlHAqhIQAKgWcqTy+9EGabSE4ca4kyh9GPW42VnAZoRAQmAZqlGU9FypYEyRvbz4owRAdSUgAQATV2yEl1V0ajihV8BqB0BCQCaE8sqADQoAQmAFq76K/80vurXnavHvep9iXCAfCAgAdBiNbVoBEDT1zrXBQBAC1S7YaJ6ZHkGgNoxggQAtdf0VxtviNXAAVowAQkA6s1Nx/at3by+6hcErybkVHqXhRwAak1AAoAcyGboyeAPQOMTkACgAWUzoFTHeXrRanXWrAOoFwISANSn5KKu1ah+Qh0AOSQgAdDS1Mvq3k1niXBpCqAxCUgAUBvVTGnLJlxNO31QVXdJRAA5JCABkNdye8GiejlxyCWPAOqRgAQAVWr6lzkCoH4JSAC0fLkdJsp49IqLd1cz3S57xpEA6oWABECeqjg61Ag5KuMSrtmnmuqviSQdAdQXAQmAZiw95OR2mChdRgqKWHoBoFkQkAAglwz+ADQpAhIANA+VDkwBUL8EJACaseqXN2jiicKkO4AmSEACoLnK8iJCRZ12rPeHrup8p/T5ctUvqwBA0yQgAdDSbHfgqN6Xc4jWijAiBNACCEgAEBvRf9f0P4s6t6vFQQwcATRrAhIA1EDFeX0GjgBaEgEJACpRX2cuRdP5GuI8KAAagoAEAHVVzWJ61a+zB0BTIyAB0EJkecpQPa7QkD65LpvDmowH0PQJSAAAADEBCYC8k7FaXVXbNPHrzALQEAQkAKjlit7VyFjs29rfAM2FgAQAABATkACgBm487l+ug1TUKR56MkYE0DIISAC0TNXPmstYdC79dKOMS8Ged3Cv+i0MgKZMQAKAGjNeBNBSCUgAUDMuZwTQgglIAFCdaacPim7IRQD5QEACIN/V+xrfADRfAhIAzVXGgnIAUHcCEgAAQExAAiB/bXdyXXICUl1Y8g6gGRGQAAAAYgISAPnuvIP+5VKwTm0CyGcCEgB55LyDe4WaRyALfAPkDwEJAAAgJiABQCW2O8pkJh5AiyQgAQAAxAQkAACAmIAEAAAQE5AAAABiAhIA+c5yCwAkBCQAmr3ddm5d1V1FnduN6L9rpXdNO31Qg1UEQHMlIAHQAhV1bpfrEgBolgQkAPLanMuG5roEAJoQAQkAACAmIAHA9p13cK9clwBAYxCQAMhfxeMPS//TcnYACEgAtBzGeQCoIwEJgOat0gXrMoaGACBLAhIA/FM0BpWadFRGe1UXTTIrD6CFEZAA4J+qv3rsiP6dGq0SAHJCQAIAAIgJSADkkeoHiACgda4LIKxatWrjxo0ZjZ07d+7SpUtO6gFoXorHH7b7zS/mugr+f3t3H1xleecN/Aoh4SUgPkYIhLcQG8AtKAhPpnUROtIVxKXrrrO2nVS2UtSBQWDA7jqypY/uSrE0uyNra6eNKLKWiovsqGBBClPWpWwKVRSKiEggQBdEZSAQCEnO88e5N0+eAOHk9RDy+fxFrnPdNz9+XBzub+5zXwG4SghIyffAAw/s27evzuD06dPnzJmTlHoAAKDdEpCS7Ny5cyUlJVlZWRMnTqw9PnLkyGSVBAAA7ZaAlGQfffRRVVXVmDFjHnvssWTXAgAA7Z1NGpLsww8/DCEMHTo02YUAtBcX/cGyABDnDlKS7dmzJ4TQu3fvl19++cCBA1lZWSNGjLj55puTXRdAu+NnHAEQBKSkiwekuXPnnj9/vmZw8uTJCxcuTE9PT15dAADQHglISRYPSMOGDSsoKMjKytqyZUtRUdHrr7/ev3//2bNn13PgkCFDLhxct25dSxV61Tl06FCyS7gaaGPT6WGzqKysCiGUlZXFvywpKQkhVFZWlpSUVFZWnjhx4uzZszUvlZWVlZSUPD/pf8Wn1Th79mydkQslMqeNshSbhTY2nR42yIQJE5JdwlVIQGoNp06dKiwsrD3SvXv3efPmVVVVTZs2rUOHDgUFBWlpaSGE/Pz8vLy8uXPnFhUVzZw5MzU19VLnjCcrmiInJyfZJVwNtLHp9LDpOnY8GELlK9P+9/2/3B3CqXhLO3Y8kpOT07HjkWuvvbbzpydCKA8h5OTkdOtWftGed+78+WX/LhKZ03ZdxX+01qSNTaeHibvUBeFFv5NOggSk1lBWVrZixYraI7169Zo3b15qaurUqVPrTL7rrrsWLVp07NixkpKSG264oRXLBACA9k5Aag2ZmZkvvfRS7ZGMjIwQQnV1dXl5eVpaWp3HjTIzM48dO3b06FEBCaDVbJrhB9ABICC1ivT09NGjR184/tZbb82aNWvixIlPP/10zWDNB9zdXwYAgFbm5yAl0/Dhw0MIGzZs2LZtW3wkFosVFhaWl5fn5eVlZ2cntToAAGh33EFKpuzs7Pvuu2/58uVTpkwZP358nz59tm/fvnPnzrS0tCeeeCLZ1QEAQLsjICXZo48+2rNnz6KiovXr14cQUlNTR44c+fjjj9t7BAAAWp+AlGQdO3Z86KGHHnrooWQXAgAAeAYJgHbj/9wxKNklAHClE5AAAAAiAhIAAEBEQAIAAIgISACQqE0zRia7BABaloAEAAAQEZAAAAAiAhIAAEBEQAIAAIgISABcnfbPvzXZJQDQ9ghIALQvz3/jxmSXAMCVS0ACoL34/oRByS4BgCudgAQAABARkAAAACICEgBtXr/uackuAYCrhIAEAAAQEZAAAAAiAhIAAEBEQAIAAIgISAAAABEBCQAAICIgAQAARAQkAACAiIAEAAAQEZAAuJrtn39rsksAoC0RkAAAACICEgBXv6/ccG2ySwCgbRCQAAAAIgISAABAREAC4GoQK7w92SUAcDUQkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIALR5/a7pmOwSALhKCEgAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAFwVYkV3p7sEgBowwQkAACAiIAEwFXu+xMGfX/CoGRXAUDbICABcPV4/hs3JrsEANo2AQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAEAAEQEJADavMVf7ZnsEgC4SghIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQKRjsgtoL/bv379169ZJkyb16NGjzksnT5784IMPSktLe/fuPXTo0MzMzKRUCAAACEitZMmSJWvXrh08ePCoUaNqj69atWrhwoVlZWXxL9PT0x9++OEHH3wwGTUCAEB7JyC1uNOnTz/33HNr16698KVt27bNnz8/FotNmjQpPz9/9+7dK1euLCws7NOnz+TJk1u/VAAAaOcEpBa0efPmxYsXHzhw4Ny5cxed8Oyzz8ZisYKCggULFsRHBgwYsHjx4meffVZAAgCA1meThhYUi8UqKyv79u2bm5vbsWPdLFpRUVFcXBxCmDZtWs3gt771rc6dO+/bt+/IkSOtWisAACAgtahx48a9+T/Gjh1b59XDhw9XVFT07NkzOzu7ZrBz585Dhw4NIezfv79VawUAAASkJDp+/HgIISsrq854r169QgiffvppEmoCAID2zTNISVNdXR1CSEtLqzPeqVOnEEJFRUX9hw8ZMuTCwXXr1jVTdVe/Q4cOJbuEq4E2Np0eNosE21hSUtLChbRhlmKz0Mam08MGmTBhQrJLuAoJSE116tSpwsLC2iPdu3efN2/eZQ+MB6QLVVVVhRBSUlLqP3zPnj0J18jF5eTkJLuEq4E2Np0eNosE2vixVtdPf5qFNjadHibuUheEF/1OOgkSkJqqrKxsxYoVtUd69eqVSEBKT08PIZw5c6bO+NmzZ2teBQAAWpOA1FSZmZkvvfRS7ZGMjIxEDow/a1RaWhqLxWrfL4pvz3Dhs0kAAEBLE5CaKj09ffTo0Y04MDs7OyMj4/Tp07t27Ro2bFh88Pjx4wcPHkxJScnNzW3WMgEAgMuzi13SpKam3nbbbSGEp556quZ5pEWLFlVVVd10003XX399UqsDAID2yB2kZJozZ86mTZuKi4vHjh2bn5//3nvvlZaWpqSkPPLII8kuDQAA2iN3kFpJamrqhYODBg164YUX8vLyPvnkkzVr1pSWlmZnZ//kJz/Jz89v/QoBAAB3kFrJM888c9HxW2655Y033mjlYgAAgItyBwkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACoF3Iua5zsksAoA0QkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiAB0C7sn39rsksAoA0QkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAAAAEQGJdmrChAnJLuFqoI1Np4fNQhubTg+bhTY2nR6SdB2TXUB7sX///q1bt06aNKlHjx61xw8fPnzmzJk6k6+77rrMzMxWrA4AAAhBQGo1S5YsWbt27eDBg0eNGlV7/IEHHti3b1+dydOnT58zZ04rVgcAAIQgILWC06dPP/fcc2vXrr3wpXPnzpWUlGRlZU2cOLH2+MiRI1urOgAA4P8RkFrQ5s2bFy9efODAgXPnzl10wkcffVRVVTVmzJjHHnuslWsDAAAuJCC1oFgsVllZ2bdv3xDCwYMHKysr60z48MMPQwhDhw5NQnEAAMAFBKQWNG7cuHHjxsV/PX369I0bN9aZsGfPnhBC7969X3755QMHDmRlZY0YMeLmm29u7UIBAIAQgoCUXPGANHfu3PPnz9cMTp48eeHChenp6cmrCwAA2ikBKZniAWnYsGEFBQVZWVlbtmwpKip6/fXX+/fvP3v27PqPHTJkSKvUeDXTw2ahjU2nh81CG5tOD5uFNjadHpJcAlJTnTp1qrCwsPZI9+7d582bd9kDq6qqpk2b1qFDh4KCgrS0tBBCfn5+Xl7e3Llzi4qKZs6cmZqaeqlj48kKAABoXgJSU5WVla1YsaL2SK9evRIJSKmpqVOnTq0zeNdddy1atOjYsWMlJSU33HBDcxYKAABcjoDUVJmZmS+99FLtkYyMjEQOrK6uLi8vT0tLq/O4UWZm5rFjx44ePSogAQBAKxOQmio9PX306NGNOPCtt96aNWvWxIkTn3766ZrBs2fPlpSUhBBycnKaqUAAACBRHZJdQPs1fPjwEMKGDRu2bdsWH4nFYoWFheXl5Xl5ednZ2UmtDgAA2iN3kJImOzv7vvvuW758+ZQpU8aPH9+nT5/t27fv3LkzLS3tiSeeSHZ1AADQHglIreSiW9I9+uijPXv2LCoqWr9+fXzOyJEjH3/8cbtbAgBAUqTEYrFk1wAAAHBF8AwSAABAREACAACICEgAAAARAQkAACBiF7u26uTJk7t37y4tLe3bt+8Xv/jFa665JtkVXen279+/devWSZMm9ejRo55phw8fPnPmTJ3B6667LjMzsyWra/MSbC8nT5784IMPSktLe/fuPXTo0PrXldV4WQ3qJw1tlxXYUN4JGyTxdlmKiXN92CwEpLYnFostW7assLCwoqIiPtKtW7fZs2dPmTIluYVd4ZYsWbJ27drBgwePGjWqnmkPPPDAvn376gxOnz59zpw5LVldm5dge9u5VatWLVy4sKysLP5lenr6ww8//OCDD15qvtVYv4b2s51rRLuswIbyTtggibfLUkyE68NmJCC1Pb/85S9/8IMfdOzYccqUKXl5ecXFxW+88caTTz7Zs2fPO++8M9nVXYlOnz793HPPrV279rIzz507V1JSkpWVNXHixNrjI0eObLHq2rzE29vObdu2bf78+bFYbNKkSfn5+bt37165cmVhYWGfPn0mT5584XyrsX4N7Wc714h2WYEN4p2wQRrULksxQa4Pm5GA1MZUVVU988wzIYRFixbF/1e79957BwwY8OMf/3j58uX+AdSxefPmxYsXHzhw4Ny5c4nM/+ijj6qqqsaMGfPYY4+1dG1XgYa2t5179tlnY7FYQUHBggUL4iMDBgxYvHjxs88+e9ErVKuxfg3tZzvXiHZZgQnyTtggjWiXpZgI14fNyyYNbcyhQ4eOHz+enZ3953/+5zWD99xzTwhh9+7dyavrChWLxSorK/v27Zubm9ux4+W/HfDhhx+GEIYOHdrypV0NGtre9qyioqK4uDiEMG3atJrBb33rW507d963b9+RI0cuPMRqrEcj+tmeNa5dVmCCvBM2SCPaZSkmwvVh8/IvuY05c+ZMbm7uyJEjU1JSagZPnjwZQujevXvy6rpCjRs3bty4cfFfT58+fePGjfXP37NnTwihd+/eL7/88oEDB7KyskaMGHHzzTe3eKFtU0Pb254dPny4oqKiZ8+e2dnZNYOdO3ceOnTou+++u3///trjcVZjPRrRz/asce2yAhPknbBBGtEuSzERrg+bl4DUxtx4441vvvlmncFly5aFELxZNF38XXju3Lnnz5+vGZw8efLChQvT09OTVxdt3vHjx0MIWVlZdcZ79eoVQvj0008vPMRqrEcj+tmeNa5dViBXCEsxEa4Pm5eA1LZVV1f/6Ec/Wr16dVpa2uzZs5NdTpsXfxceNmxYQUFBVlbWli1bioqKXn/99f79+2svTVFdXR1CSEtLqzPeqVOnEELNjkO1WY31aEQ/27PGtcsK5AphKTaC68MmEpCuXKdOnSosLKw90r1793nz5tV8uW/fvvnz57/zzjtdu3ZdsmTJF77whVav8Ypw2UYlqKqqatq0aR06dCgoKIhfSeTn5+fl5c2dO7eoqGjmzJmpqanNVnSb0lwdbg8u1av4FeqFqqqqQgi1PxFRM2411qOh/WznGtEuK5ArhKXYCK4Pm05AunKVlZWtWLGi9kivXr3iV6VVVVVFRUXPPPNMRUXFiBEjnnrqqZycnORUeQWop1ENkpqaOnXq1DqDd91116JFi44dO1ZSUnLDDTc0qdA2q7k63B5cqlfxz4Fc+IMOz549G0K48FMiVmP9GtrPdq4R7bICuUJYig3i+rC5CEhXrszMzJdeeqn2SEZGRgjh/Pnz8+bNW7duXffu3b/3ve/99V//dTv/dumlGtVQ1dXV5eXlaWlpdS4XMjMzjx07dvTo0Xb7LtxcHW4PLtWr+MMepaWlsVis9j/Y/fv3h4s9HGI11q+h/WznGtEuK5ArhKWYONeHzUhAunKlp6ePHj36wvF//ud/XrduXV5e3s9//vM+ffq0fmFXmks1qqHeeuutWbNmTZw48emnn64ZPHv2bElJSQihPX8Pprk63B5cqlfZ2dkZGRmnT5/etWvXsGHD4oPHjx8/ePBgSkpKbm5unflWY/0a2s92rhHtsgK5QliKiXN92Iz8HKQ25o9//OOLL77YtWvXF154wepvuj/84Q9Lly5dunRpCGH48OEhhA0bNmzbti3+aiwWKywsLC8vz8vLs2swTZGamnrbbbeFEJ566qmaB0IWLVpUVVV10003XX/99cFqbIhE+kmNhi6/YAWSPJZi47g+bF7uILUx//Vf/3X+/PmOHTt+97vfrfNSnz59Fi5cmJSq2q7f/va3P/zhD0MIU6dOzc7Ovu+++5YvXz5lypTx48f36dNn+/btO3fuTEtLe+KJJ5JdKW3enDlzNm3aVFxcPHbs2Pz8/Pfee6+0tDQlJeWRRx6JT7AaG+Sy/aS2Bi2/EIIVSLJYio3j+rB5CUhtzB/+8IcQQnl5+ZYtW+q8NHDgwGRU1GbUs9FNzUuPPvpoz549i4qK1q9fHx8fOXLk448/PmTIkFaqss2yj9BlDRo06IUXXliwYMHevXvXrFkTQsjOzv7e976Xn59fe5rVmKAE+0lcQ5dfsAIbxTthgyTy/3KwFBPj+rB5pcRisWTXAFeWWCx25MiR06dP5+Tk2A6LZnfy5MlDhw717t37uuuuu+xkq/GyGtRPGtouK5ArhKVIaxKQAAAAIjZpAAAAiAhIAAAAEQEJAAAgIiABAABEBCQAAICIgAQAABARkAAAACICEgAAQERAAgAAiAhIAHBxxcXFGzZsqH/O0aNH33zzzQMHDrROSQC0tJRYLJbsGgBoSz7//POvfOUrl502bty4JUuWtHw5LWX37t333HPPl770paVLl9Yz7cSJE+PHj+/Xr9+rr76ampraauUB0ELcQQKgYWKx2NkEnDp1KtmVNl5VVdX8+fOrq6sfeeSR+mdee+21U6dO/eCDD1auXNk6tQHQotxBAqBhYrHYmTNnao/cfffdBw8efOihhx566KGawdTU1M6dO7d6dc1jzZo1c+fOveOOO/7lX/7lspNPnz592223denSZdOmTenp6a1QHgAtxx0kABomJSUl4//XoUOHEEJ6enrtwbabjkIIy5cvDyH85V/+ZSKTMzIy7rjjjuPHj69Zs6aF6wKgxXVMdgEAXP127ty5atWqnTt3lpeXjx49+tZbb73jjjviL7344ou7du2aNm3a559//tprr7377rtdu3YdNWrUzJkzMzIyXnvttY0bN+7cufOaa6655ZZbHnjggaysrPiBK1eu3L59+8SJE9PT09esWbNr165YLHbTTTfdfvvtt99+e+3f/be//e3KlSv37t1bXl6emZk5YsSIgoKCgQMHXqraPXv2vPPOO9dee+3YsWMTPMnkyZNXr169fPnyBDMVAFcsAQmAlvX888//6Ec/qqysjH+5d+/eFStW3H///Y8++mgI4Te/+c3bb79dWVn55ptvVlVVxefs2LGjpKQkJyen9gYJu3bt2rx58+rVqzMyMkIIW7duXbNmze9///tDhw5VV1fH5+zZs+eVV175m7/5m7/7u7+Lb5mwdOnSp556quYkhw4d2rFjx6uvvvqLX/xi8ODBFy347bffDiEMGzasY8fof8nLnuSWW26JV/jJJ5/07NmzOdoGQHL4iB0ALWjr1q2LFi2KxWIzZsx46623fv3rX8+ZMyctLe3555//13/915ppb7zxxk033fSLX/ziP//zP+PBaePGjUuXLv3yl7/8T//0T5s3b16wYEEI4cCBA1u2bKl9/oMHD3bv3n3x4sWbNm36t3/7t7/4i78IISxbtuzf//3fQwjnz5+PP0T0jW98Y+PGjdu3b3/hhRf69+9/6tSpn/zkJ5equbi4OITQr1+/+JeJnKRLly7XXXddCKFOeQC0OQISAC3oH//xH0MIM2bMmD179oABA/r16zd9+vS//du/Df/znE9cv379li1bNmrUqOuvv/7+++/Py8sLIXTv3v2nP/3pXXfdlZWVVVBQcPPNN4cQ9u/fX/v8KSkpy5Yt+9rXvpadnT18+PAf/vCHkydPDiH8+Mc/rqqqOnjwYHw/iXvvvbdv377dunX78pe/vGDBgh49ehw8ePBSNe/atSvUCkgJnqRv374hhPfff7+ZOgdAcghIALSUzz77bO/evSGEe++991wtf/VXf5WWllZSUhKPIiGEe+65p1OnTjUH9u/fP4Rw55131t7pIZ5Yaj6qFzd27Ngbb7yx9siMGTNCCIcPHy4tLR00aND1118fQnj44YdfeeWVTz75JH5IcXHxq6++etGaY7HYZ599Fv4n8IQQEjxJvLz4qwC0XZ5BAqClfPTRR/Ff3HbbbRedcOTIkfgv4p9PqxF/fCg3N/fCwTqGDx9eZyQ3N7dr165nzpyJP8X03e9+9/vf//7hw4f//u//PoTQv3//L33pS1/72tfy8/MvWtKpU6fij0LVBKQOHTokcpL4/Hi4AqDtEpAAaCk1Py6pJmzUUVFR0cTf4qKbicc3VygrKwsh3H333bfccstrr732m9/8ZteuXaWlpaWlpa+88so999zz5JNPpqSk1Dk2vmV5CKFmx4gET5KWlhYuuMEFQJsjIAHQUuK3gDp06LB+/fqaHeHquNRH3RJ04aNEp0+fPnXqVKj1ENGAAQNmzpw5c+bM8vLyLVu2FBUV/f73v1+1atXdd9994X2kbt26derU6dy5c4cPH47vTZfgSQ4dOhQuuBUGQJvjGSQAWkq/fv0yMjKqq6t//etf1x4/cuTIhAkTvvrVrx49erSJv8WvfvWrmvtUcW+88UYsFktNTR00aNCmTZvuvPPOWbNmxV/q0qXL+PHji4qKunXrFkL44IMPLnrOzMzMEEJpaWn8ywRPcvjw4ZpjAWi7BCQAWkqHDh2+/e1vhxCefPLJHTt2xAfLy8v/4R/+oaSkJC0treanvjbayZMnZ82adfr06fiX77//fmFhYQjh7rvv7tGjR9++zHbCJwAAA0lJREFUfT/++OMNGzZs3Lix5pCjR4/GP9oX3yvvQvHnmuKBJ4SQ4Enid5D+5E/+pIl/IgCSy0fsAGhB3/nOd371q1/t27fvm9/85g033NCjR48dO3ZUVFSkpqbOnz+/WX6L//iP//jTP/3TYcOGnTx5cu/evdXV1VlZWTNnzgwh5OXljRkz5u23354+ffqQIUMGDhx44sSJd999t6Ki4gtf+MLIkSMvesJbb7113bp18cCT4EkqKiri+9ddau8HANoKd5AAaKr4/gQXlZGRsWrVqq9//etdu3b98MMPf/e731VUVAwZMuRnP/vZmDFjaqZd6gmly5oxY8bXv/71qqqq3/3ud3v27ElPT7/99ttXr16dnZ0dQkhJSVmyZMk3v/nNLl267NmzZ/369cXFxSkpKZMmTXrxxRcvusFDCGHcuHGpqam7du2K3yNK5CTvvfdeLBbLzs6us/MeAG1OSiwWS3YNALQLhw8f/vTTT/v27dssD+rMnTt3zZo18+bNe/DBB8vLyz/++OP09PTc3NyL7gZ+7ty5//7v//7ss8969OjRp0+fLl261H/yhx9+eP369UuWLJkwYUIiJ1mwYMHLL78cL6bpfzQAkshH7ABoJX379r3Uft9N1KVLly9+8Yv1TOjUqdPAgQMHDhyY4Am//e1vr1+/fvXq1bUD0qVOUl5e/uabb3bq1Onee+9taOUAXGl8xA4A6ho1atS4ceM2bdr0/vvvX3byiy++ePLkye985zvXXnttK9QGQIsSkADgIh577LG0tLT4nnj1OHHixM9//vPc3Nzp06e3TmEAtCjPIAHQJu3YseOPf/zj4MGDW25fhHfeeefo0aN/9md/dtHnmuJOnDixdevWoUOH5uTktFAZALQmAQkAACDiI3YAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIgISAABAREACAACICEgAAAARAQkAACAiIAEAAEQEJAAAgIiABAAAEBGQAAAAIv8XxFOXAw5OhKUAAAAASUVORK5CYII=" + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "load('signal_excitation.mat');\n", + "xe1 = xe1 / max(abs(xe1));\n", + "y = simule_piece(xe1, fe);\n", + "h_estimee = xcorr(y, xe1);\n", + "\n", + "N = length(h_estimee);\n", + "temps = (-N/2:N/2 - 1)/fe;\n", + "\n", + "\n", + "figure;\n", + "plot(temps, h_estimee);\n", + "xlabel('Temps (s)');\n", + "ylabel('Amplitude');\n", + "title('Réponse impulsionnelle estimée de la pièce');\n", + "grid on;\n" + ] + }, + { + "cell_type": "markdown", + "id": "6c7056cf", + "metadata": {}, + "source": [ + "Nous observons bien la réponse impulsionnelle typique d'une pièce réverbérante En effet,nous avons bien un pic principal qui correspond au trajet direct du son puis une décroissance progressive et oscillante qui correspond aux réflexions sur les surfaces." + ] + }, + { + "cell_type": "markdown", + "id": "0ed13a47", + "metadata": {}, + "source": [ + "<p><b>Question 3.5</b></p>\n", + "\n", + "La fonction effet_reverb se trouve dans le dosser src" + ] + }, + { + "cell_type": "markdown", + "id": "43edae8e", + "metadata": {}, + "source": [ + "<p><b>Question 3.6</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "04570dc1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Elapsed time is 0.009078 seconds.\n" + ] + } + ], + "source": [ + "[x,fe]=audioread(\"wav/single_tone_guitar_nylon_string_a2.wav\");\n", + "tic\n", + "y=effet_reverb(x,h);\n", + "toc" + ] + }, + { + "cell_type": "markdown", + "id": "2c6a0848", + "metadata": {}, + "source": [ + "<h3> Convolution rapide <h3>" + ] + }, + { + "cell_type": "markdown", + "id": "9ef1115b", + "metadata": {}, + "source": [ + "<p><b>Question 3.7</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "6ac819bb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Elapsed time is 0.009528 seconds.\n" + ] + } + ], + "source": [ + "[x1,fe1]=audioread(\"wav/single_tone_guitar_nylon_string_a2.wav\");\n", + "tic\n", + "y=effet_reverb_FFT(x,h);\n", + "toc" + ] + }, + { + "cell_type": "markdown", + "id": "a111ab47", + "metadata": {}, + "source": [ + "Le temps de calcul à l'aide de la fonction effet_reverb_FFT est inférieur à celui par application de convolution directe d'un ordre de 10.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "4ef53e7c", + "metadata": {}, + "source": [ + "<p><b>Question 3.8</b></p>" + ] + }, + { + "cell_type": "markdown", + "id": "ee23e108", + "metadata": {}, + "source": [ + "Oui , la méthode utilisant la FFT est équivalente à la convolution classique de la section.<br>\n", + "En effet on obtient la méthode utilisant la FFT en partant de la convolution classique<br>\n", + " On a la convolution classique $$y(k)=h(k)*x(k)$$\n", + " On passe a la transformée de Fourier on obtient : <br> \n", + " $$FFT(y(k))=FFT(h(k)).IFFT(x(k))$$\n", + " On fait la transformée de Fourier inverse : <br>\n", + " $$y(k)=IFFT(FFT(h(k)).FFT(x(k)))$$" + ] + }, + { + "cell_type": "markdown", + "id": "8f75b002", + "metadata": {}, + "source": [ + "<h3> Effet de retard <h3>" + ] + }, + { + "cell_type": "markdown", + "id": "910bb48d", + "metadata": {}, + "source": [ + "L'équation de récurrence du système est donnée par :\n", + "$$y(k) = x(k)-gy(k-\\tau)$$" + ] + }, + { + "cell_type": "markdown", + "id": "ded2a1cf", + "metadata": {}, + "source": [ + "<p><b>Question 3.9</b></p>\n", + "\n", + "La réponse impulsionnelle $h(k)$ est la réponse du système lorsque l'entrée $x(k)$ est une impulsion de Dirac $\\delta(k)$.\n", + "\n", + "$$x(k) = \\delta(k)$$\n", + "$$\\text{avec } \\delta(k) =\n", + "\\begin{cases}\n", + "1 & \\text{si } k = 0, \\\\\n", + "0 & \\text{sinon}.\n", + "\\end{cases}\n", + "$$\n", + "\n", + "On a donc : \n", + "$$y(k) = \\delta(k)-gy(k-\\tau)$$\n", + "\n", + "- Pour $k = 0$ :\n", + " $$y(0) = \\delta(0) - g y(0 - \\tau)$$\n", + " $$y(0) = 1$$ \n", + " car $\\delta(0) = 1$ et $y(0 - \\tau) = 0$\n", + "\n", + "- Pour $0 < k < \\tau$: \n", + " $$y(k) = 0$$\n", + " car $\\delta(k) = 0$ pour $k \\neq 0$ et $k-\\tau < 0$, donc $y(k-\\tau) = 0$\n", + "\n", + "- Pour $k = \\tau$ :\n", + " $$y(\\tau) = -g$$\n", + " car $\\delta(\\tau) = 0$ et $y(\\tau - \\tau) = y(0) = 1$\n", + " \n", + "- Pour $\\tau < k < 2\\tau$: \n", + " $$y(k) = 0$$\n", + " car $\\delta(k) = 0$ pour $k \\neq 0$ et $y(k-\\tau) = 0$ pour $k-\\tau \\neq 0$ et $k-\\tau \\neq \\tau$\n", + "\n", + "- Pour $k = 2\\tau$ :\n", + " $$y(2\\tau) = \\delta(2\\tau) - gy(2\\tau - \\tau)$$\n", + " $$y(2\\tau) = -g \\cdot (-g) = g^2$$\n", + " car $\\delta(2\\tau) = 0$ et $y(2\\tau-\\tau) = y(\\tau) = -g$\n", + "\n", + "Par récurrence, on peut établir que :\n", + "\n", + "$$h(k) =\n", + "\\begin{cases}\n", + " (-g)^n & \\text{si } k = n\\tau, \\\\\n", + " 0 & \\text{sinon}.\n", + "\\end{cases}\n", + "$$\n" + ] + }, + { + "cell_type": "markdown", + "id": "549bc988", + "metadata": {}, + "source": [ + "<p><b>Question 3.10</b></p>\n", + "\n", + "Pour que le filtre Effet de delay soit stable, sa réponse impulsionnelle doit être sommable, c'est-à -dire : \n", + "$$\\sum_{k=0}^{\\infty} |h(k)| < \\infty$$\n", + "\n", + "Pour $k = n\\tau$, on a :\n", + "$$\\sum_{n=0}^{\\infty} |(-g)^n| = \\sum_{n=0}^{\\infty} |g^n|$$\n", + "\n", + "Cette somme est une série géométrique donnée par :\n", + "$$\\sum_{n=0}^{\\infty} |g|^n =\n", + "\\begin{cases}\n", + "\\frac{1}{1 - g} & \\text{si } |g| < 1, \\\\\n", + "+\\infty & \\text{si } |g| \\geq 1.\n", + "\\end{cases}$$\n", + "\n", + "Le filtre est stable pour $|g|<1$." + ] + }, + { + "cell_type": "markdown", + "id": "00a67aa1", + "metadata": {}, + "source": [ + "<p><b>Question 3.11</b></p>\n", + "\n", + "On a l'équation du filtre delay : $$y(k) = x(k)-gy(k-\\tau)$$\n", + "En isolant $x(k)$, on obtient : $$x(k) = y(k)+gy(k-\\tau)$$\n", + "- $a = [a_0,...,a_N]$ est un vecteur comportant les coefficients de la partie récursive<br>\n", + "$a_0 = 1$<br>\n", + "$a_m = 0$ pour $1 \\leq m \\leq \\tau-1$<br>\n", + "$a_\\tau = g$<br>\n", + "On a donc $$a = [1,\\underbrace{0,...,0}_{\\tau-1},g]$$\n", + "\n", + "- $b = [b_0,...,b_M]$ est un vecteur comportant les coefficients de la partie non-récursive\n", + "$$b = [1]$$" + ] + }, + { + "cell_type": "markdown", + "id": "519eb079", + "metadata": {}, + "source": [ + "<p><b>Question 3.12</b></p>\n", + "\n", + "Utilisons le script analyse_delay pour obtenir la réponse impulsionnelle et crée la représentation temporelle de $h(k)$ en choisissant nous-même le coefficient d'atténuation $g$, le retard $\\tau$ et la longueur de la réponse $N$" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "6c03bf38", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KY3v06DFhwgTzqx06dGhJSYkQIjU1deHChX/5y1/0ev3mzZulrS4uLmFhYZ6eno2dQpMyfXyEEMHBwdIti6NHj/bu3Xvo0KG7du0qLCw0sU9zjkOdA617OsxhwRVl3f106NBh2rRp0mNRH374YWlp6dixY48fP75hw4ZaPS04EX+Q4ccvn3/++W+//db4C5QNWXYQzD8Clu1fWSJPCLF+/fpp06ZlZma+8MILVVVVUqPyQggxZsyYTp06nT9/XmlRIhMA7bLlknkAIDHxRbF6vV75vsi77rpLr9dfvHgxKCiozt9gERER5eXl0ihlYd86H79ZsGCB1K26utrwG1EMtWrV6ocfflDKMHOR5YkTJ9b3CzY6OlrqY+YUjNW3zLfhF60qiyM//PDDSuPjjz8uNQ4aNKhRx0ev1+/cudO4g/JHZ31fFGvOcTCu38zTYea5MLObmaejwUWxLT6tp0+fVlavVuh0OuXUSItcm3ki6mTZMt96vb7WjGp9UazhgW3UwbTsCJi5f+PzYrisorGoqCjDYhYuXKhs8vT0vHbtmokDC0AL+IgdABUYPi1t+Ey/RPkuyB9++OHKlSsdOnQ4fvz43LlzDZ9/aN269fz58/ft22f4paiSv//97w899JDytLe3t/fq1auVFYSdnJwSEhJef/11wy+mdHV1jYyM/PXXX++44w7TlRtX++GHH/7tb38zXNpLCOHr6xsTE6PcCWnsFAwLM3xR68f6SjJdsOnjI4SYMGHCypUrlbdwcnK6995733//fdO1mXMcjOv/I6fD9MRNdDPzdBhXW+uFxac1KCgoOTk5IiJCqc3T03Pr1q233nqrYc1mnggzZ23OjIQQO3bsMPyS2QZZdhDMPAJm7t/4vHzyySeG60m4uro+++yzSoZXFpeX/PnPf1ZeP/DAA61atTJ/+gAckk5f18pCAGCHampqTp8+nZ2d7evrGxISUmt1srZt20pPeL/++usLFiwoKSk5evRop06dunXrVt8jJQUFBSdOnPDx8enevbvxCleNUlVVlZWVJT224efnFxISUueKZKan0KQae3yuX79+7NixioqK/v37G35PqGlmHoc6WfF0mMlap8Pi/ZSWlh45cqRt27bSKgJ19rHsRPxBZWVlV65ccXJyat++vZlB1LKDYM4RsGz/1dXVv/32W15enr+/f0hIiIm8unbt2kWLFkmvv/3227vuusucygE4MAKSvcjKyvrpp5/GjRtns///AQ6mVgBQuxy7w/EBDGVnZw8aNMjd3f3s2bNSS+/evX/++WcTS+QD0Ah+C9iLt956KzY29tSpU9bdbfal8hcTsnTPfDdrR0ZSZgNfKAEAgEaUl5dfuHBBSUctWrT44IMPSEcABKvY2YPr16+/9957X3zxhdX3HLTiQPalcul1XEpBXEpBoLd7zKigmWF+Vn8vQHUuLi7SZ4H4E6dOHB/AkIuLS/v27UtKSgICAoYNGzZp0qTevXurXRQAu8BH7NT0n//8Z/Xq1WfOnJGW2RVCfPjhh7fddtsf33NcSsGsHRn1bdWvvfOPvwUAAADgePh3RDXp9fqqqqqAgIDg4GAzn4I1U3yKqa9aH7n+qBXfCwAAAHAYfMROTSNGjBgxYoT0eu7cuYZfW/FHJGVeScq8bLLD5aTMKxEhba3ydgAAAIDD4A6SA4pPKbBKHwAAAEBruIPULHXv3t10h1sa2sOBvaJ7jLXKAQAAgH05efKk2iU0VwSk5srERT9rR0bc/94gumXv3N8iNxi2zAzz2/pwaFMVZ2e6d++u8d8RGj8CTJ/pq12Fapi+lqcvNH8EmL7aJTRjfMTOAcWMCrJKHwAAAEBrCEgOKNDbPSKknYkOESHtAr3dbVYPAAAA0FwQkBxT4rz+JrbOCPO1WSUAAABAM0JAclhbHw41vo8U6O2uX3vnzDA/VUoCAAAA7ByLNDismWF+M8P8si+Vx6cUfLhXxI4KmhHmxyfrAAAAABO4g2QvnJ2dm2K3gd7uMaODhBAxo4NIRwAAAIBp3EGyF2+//XbT7bzWGt9ak5CQoHYJKtP4EWD6apegJqavdglq0vj0heaPgManjz+CO0gAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQ4suxL5S8mZAWtOz1rR0ZS5hW1ywEAALB3LmoXAKCpBK04kH2pXHodl1IQl1IQ6O0eMypoZpifuoUBAADYLQKS9RUXF584cSInJ8fX17dHjx7t27dvcMjVq1ePHz9eUFDg5+cXGhraoUMHG9QJBxaXUjBrR4Zxe/al8lk7MghIAAAA9SEgWdnu3btffvnlkpIS6Uc3N7fo6Og5c+aYGLJt27Y33njj+vXr0o+urq6PPfbY/Pnzm7xWOK74lHMmto5cfzRxXn+bFQMAANCM8AySNaWmpi5ZsqSkpGTcuHGxsbGTJk2qrKxcu3btnj176hvy7bffrlixory8fNKkScuXL7/33nt1Ot369et37dply8rhSJIyryRlXjbZ4TLPIwEAANSJgGRNGzZs0Ov1U6ZMef311ydPnrx8+fJFixZJ7fUN2bt3rxBizpw5y5cvnzRp0muvvfbwww8LIT777DOblQ0HE59SYJU+AAAAGkRAspqKiork5GQhxOzZs5XGqVOnuru7Z2Zm5ufn1zmqqKhICNG7d2+lZdCgQUKIy5dN3QEATIgzI/yYvsUEAACgWQQkq8nLy6uoqPDx8fH391ca3d3de/ToIYTIysqqc9TgwYOFEImJiUrLV199JYS44447mrZcOC5z1mCICGlng0oAAACaHRZpsJrCwkIhRKdOnWq1d+zYUfz3TpGxSZMm7d+//+OPP87Nze3Vq9ePP/6Ynp4eEhIyY8aMpi4YjipmVFCDN5FiRgXZphgAAIDmhYBkNTU1NUIIV1fXWu0tWrQQQlRUVNQ5ql27dqNGjUpLSzt48ODBgwelxjFjxvj6+pp+u+7duxs3JiQk1Nc/Ozvb9A4dWG5urtol2NrggJY/5ZWZ2CqKz2UX27IiNWnwAjDE9NUuQU1MX+0SVKbxI6CR6Y8ePVrtEhwQAclqpIBkrLq6Wgih0+nq3Lps2bJdu3Z5eHg88sgjPXv2PH36dHx8/DvvvJOWlrZx40YTb3fy5MnGVHc6MDCwMf0djdamf3BhoO6Z7+rb+viwwMBAbX0VktYugFqYvtolqInpq12CyjR+BLQw/fr+IKzzX9JhJgKS1bi5uQkhSktLa7WXl5crW2upqqr68ssvnZycNm3aFBYWJjWOGTNmwoQJSUlJ58+fN/7AHmCmrQ+Hxqecq7UYQ6C3e9aS29UqCQAAwP6xSIPVSM8a5eTk6PV6w3ZpeYY6o86RI0euX78eFBSkpCMhRLdu3aSVG5RP3AEWmBnmlzivf9aS22NHBQkhYkcFZS25nXQEAABgGgHJavz9/T09PUtLS9PS0pTGwsLCs2fP6nS64OBg4yGenp5CiKqqqlrtZWVlylbgjwj0do8ZHSSEiBkdFOjtrnY5AAAA9o6AZDXOzs7Dhg0TQrz66qvK80grV66srq7u06dPhw4dhBDp6elbtmzZsmWLtLVbt25ubm5nzpz55z//qQxJTExMTk52cnIy/HIkAAAAADbAM0jWtGDBAineDB8+PDw8/Pjx4zk5OTqdbtGiRVKHgwcPrlq1Sgjx6KOPCiHc3NyeffbZv//977Gxse+8887IkSMLCwsTExP1ev0TTzzR4EJ2AAAAAKyLgGRNQUFBcXFxy5Yt+/333/ft2yeE8Pf3X7p0aXh4uGE3Z2dn5fXUqVNbtmz5zjvv5OXl7dy5UwjRvn37efPmTZ482cbFAwAAACAgWdmAAQP27t1b39aoqKioqKhajQ8++OCDDz7YxHUBAAAAaBjPIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAOKbsS+UvJmQFrTs9a0dGUuYVtcsBAKB5cFG7AACA9QWtOJB9qVx6HZdSEJdSEOjtHjMqaGaYn7qFAQBg57iDBAAOJS6lQPfMd0o6UmRfKp+1I0OVkgAAaEYISADgUOJTzpnYOnL9UZtVAgBAc0RAAgDHkZR5JSnzsskOl3keCQAAEwhIAOA44lMKrNIHAADNIiABgOOIMyP8mL7FBACAxhGQAMBxmLNIXURIOxtUAgBAM0VAAgDHETMqyCp9AADQLAISADiOQG930zeIIkLaBXq726weAACaHQISADiUxHn9TWydEeZrs0oAAGiOCEgA4Gi2PhxqfB8p0Ntdv/ZOcx5SAgBAy1zULgAAYGUzw/xmhvllXyqPTymI/TordlTQjDA/PlkHAIA5uIMEAI4p0Ns9ZnSQECJmdBDpCAAAMxGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQMYy39ZXXFx84sSJnJwcX1/fHj16tG/f3pxRV69eTU5OLi8vv+WWW7p3797URQIAAAAwRkCyst27d7/88sslJSXSj25ubtHR0XPmzDEx5MqVK/PmzTty5Iher5daIiIi3njjjZYtWzZ5uQAAAAAM8BE7a0pNTV2yZElJScm4ceNiY2MnTZpUWVm5du3aPXv21Dfk+vXrjz766OHDh3v27Dl//vxp06a1bds2KSlpzZo1tqwcAAAAgOAOknVt2LBBr9dPmTJl2bJlUkuXLl1Wr169YcOG8ePH1zlkx44daWlpAwcO3LZtm7OzsxBi+PDhjz322L59+/72t7/pdDrbVQ8AAABoHneQrKaioiI5OVkIMXv2bKVx6tSp7u7umZmZ+fn5dY7au3evEOLFF1+U0pEQYvjw4bGxsfPmzaupqWn6qgEAAAD8P+4gWU1eXl5FRYWPj4+/v7/S6O7u3qNHj59//jkrK8uwXXLhwoX09PSbbrqpa9euJSUlv/76a2VlZWho6OTJk21bOwAAAAAhCEhWVFhYKITo1KlTrfaOHTsKIYqKioyHnD9/Xghxyy23vPrqq3Fxccoto/vvvz8mJsbT07NpKwYAAADwvwhIViPFG1dX11rtLVq0EEJUVFQYD5FSU1JSUnV19e233z5o0KCioqJdu3Z99tlnVVVVr732mom3q3Mp8ISEhPr6Z2dnNzwHB5Wbm6t2CerjAtAyzr5mMX21S1CZxo+ARqY/evRotUtwQAQkq6nvkaHq6mohRJ3LLZSWlkodJk+eHBsbKzX+6U9/mjhx4r59++bOndutW7f63u7kyZONqe50YGBgY/o7Go1PnwtA29Pn7AeqXYKamL7aJahM40dAC9M1GXg5AAAgAElEQVSv7w9CvlTzj2CRBqtxc3MT/808hsrLy5WttXh5eUkv/vKXvyiNt95669ChQ4UQv/76axOVCgAAAKBOBCSrkZ41ysnJUb7vVZKVlSXqejZJCNGuXTshRMuWLb29vQ3bpeUcLl682HTVAgAAADBGQLIaf39/T0/P0tLStLQ0pbGwsPDs2bM6nS44ONh4SI8ePby8vMrKygoKCgzbT506JYQICAho6poBAAAAGCIgWY2zs/OwYcOEEK+++qryPNLKlSurq6v79OnToUMHIUR6evqWLVu2bNmiDBk5cqTUraqqSmrcv39/SkqKh4fHoEGDVJgGAAAAoGEs0mBNCxYsSExMTE5OHj58eHh4+PHjx3NycnQ63aJFi6QOBw8eXLVqlRDi0UcflVqeeeaZlJSUr776KjMzc9CgQefPn9+/f78QYs6cOVKmAgAAAGAz3EGypqCgoLi4uG7dul28eHHfvn05OTn+/v7r168PDw837Obs7Ky87tSp0+bNm0eMGJGfn//+++9/8803fn5+L7/88ty5c21ePgAAAKB13EGysgEDBuzdu7e+rVFRUVFRUbUaQ0JCNm3a1MR1AQAAAGgYd5AAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAABwNNmXyl9MyApad3rWjoykzCtqlwMAzYmL2gUAAABrClpxIPtSufQ6LqUgLqUg0Ns9ZlTQzDA/dQsDgGaBO0gAADiIuJQC3TPfKelIkX2pfNaODFVKAoBmh4AEAICDiE85Z2LryPVHbVYJADRfBCQAABxBUuaVpMzLJjtc5nkkAGgQAQkAAEcQn1JglT4AoHEEJAAAHEGcGeHH9C0mAIAgIAEA4BjMWaQuIqSdDSoBgGaNgAQAgCOIGRVklT4AoHEEJAAAHEGgt7vpG0Qzw/wCvd1tVg8ANFMEJAAAHETivP4mto4IaWuzSgCg+SIgAQDgOLY+HGp8HynQ212/9k5zHlICALioXQAAALCamWF+M8P8si+Vx6cUxH6dFTsqaAafrAOAxuAOEgAAjibQ2z1mdJAQImZ0EOkIABqFgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAgEPJvlT+YkJW0LrTs3ZkJGVeUbscoJlxUbsAAAAAWE3QigPZl8ql13EpBXEpBYHe7jGjgmaG+albGNBccAcJAADAEcSlFOie+U5JR4rsS+WzdmSoUhLQHBGQAAAAHEF8yjkTW0euP2qzSoBmjYAEAADQ7CVlXknKvGyyw2WeRwLMQUACAABo9uJTCqzSBwABCQAAoNmLMyP8mL7FBEBCQAIAAGj2zFmkLiKknQ0qAZo7AhIAAECzFzMqyCp9APA9SNZXXFx84sSJnJwcX1/fHj16tG/f3vyxFy9e/Pbbb3v37t2rV6+mqxAAADiYQG/3iJB2Jj5EFxHSLtDb3ZYlAc0UAcnKdu/e/fLLL5eUlEg/urm5RUdHz5kzx5yxer3+r3/964EDB6KjowlIAACgURLn9dc98119W2eE+dqyGKD5IiBZU2pq6pIlS/R6/bhx48LDwzMyMnbu3Ll27Vo/P7/x48c3OHz79u0HDhywQZ0AAMAhbX04ND7lXK37SIHe7llLblerJKDZISBZ04YNG/R6/ZQpU5YtWya1dOnSZfXq1Rs2bGgwIP3+++9r1qzx8PAoLS1t+koBAIADmhnmNzPML/tSeXxKQezXWbGjgmaE+fHJOqBRWKTBaioqKpKTk4UQs2fPVhqnTp3q7u6emZmZn59vYmxlZeXixYs9PT0XLVrU5IUCAACHFujtHjM6SAgRMzqIdAQ0FgHJavLy8ioqKnx8fPz9/ZVGd3f3Hj16CCGysrJMjH3jjTcyMjKWL1/u7e3d5IUCAAAAqAcByWoKCwuFEJ06darV3rFjRyFEUVFRfQOTk5O3bNly33333XPPPU1aIQAAAADTeAbJampqaoQQrq6utdpbtGghhKioqKhz1LVr15599lkfH5+lS5c26u26d+9u3JiQkFBf/+zs7Ebt35Hk5uaqXYL6uAC0jLOvZZx9jeMCcHijR49WuwQHRECyGikgGauurhZC6HS6OrcuX748Pz9/8+bNXl5ejXq7kydPNqb76cDAwEbt38FofPpcANqePmc/UO0SVMTZD1S7BHVxAQSqXUKTq+8Pwjr/JR1mIiBZjZubmxDCeA268vJyZWstCQkJn3/+eWRk5IABA65fvy6EuHHjhhCisrLy+vXrLVq0cHHhBAEAAAC2w9/fViM9a5STk6PX6w3vF0nLMxg/mySEOHLkiBBi7969e/fuNWx/991333333ZiYmEceeaRpiwYAAABggIBkNf7+/p6entevX09LS+vVq5fUWFhYePbsWZ1OFxwcbDykd+/etRZmyMnJOXHiREhISHBw8E033WSLugEAAAD8FwHJapydnYcNG/bVV1+9+uqr8fHxTk5OQoiVK1dWV1f37du3Q4cOQoj09PSffvpJCPHoo48KISIjIyMjIw138uWXXy5YsGDcuHFPPfWUGpMAAAAANI2AZE0LFixITExMTk4ePnx4eHj48ePHc3JydDqd8vWvBw8eXLVqlfhvQAIAAABgV/geJGsKCgqKi4vr1q3bxYsX9+3bl5OT4+/vv379+vDwcMNuzs7O9e1B2mSiAwAAAICmwx0kKxswYECtFRcMRUVFRUVFmRg+atSoRq7fDQAAAMBquIMEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAAAICMgAQAAAAAMhe1C3BAxcXFJ06cyMnJ8fX17dGjR/v27c0ZkpGRkZOTExAQcOutt3p5edmgTgAAAAC1EJCsbPfu3S+//HJJSYn0o5ubW3R09Jw5c+rrr9fr4+Pj165dW1FRIbW0atVq/vz506dPt0W5AAAAAAwQkKwpNTV1yZIler1+3Lhx4eHhGRkZO3fuXLt2rZ+f3/jx4+scsmPHjldeecXFxWX69OndunVLTk7eu3fvihUrfHx8xo4da+P6AQAAAI0jIFnThg0b9Hr9lClTli1bJrV06dJl9erVGzZsqDMgVVdXv/3220KIlStXSh0eeuihLl26vPPOO9u3bycgAQAAADbGIg1WU1FRkZycLISYPXu20jh16lR3d/fMzMz8/HzjIbm5uYWFhf7+/pGRkUrjgw8+KITIyMho+pIBAAAA/A8CktXk5eVVVFT4+Pj4+/srje7u7j169BBCZGVlGQ8pLS0NDg4eMmSITqdTGouLi4UQrVu3bvqSAQAAAPwPbX3ETq/Xnzhx4scffzx69GhhYWFhYeGNGzfatWvn7e19yy23DBo0KCwsrE2bNpbtvLCwUAjRqVOnWu0dO3YUQhQVFRkPCQ0N/fLLL2s1xsfHCyH69u1rWRkAAAAALKaVgHTt2rVdu3Zt3749Ly+v1qaLFy8KIX766adt27a5uLiMHj162rRp/fv3b+xb1NTUCCFcXV1rtbdo0UIIoSxSZ3oPa9as+de//uXq6jp//nzTnbt3727cmJCQUF//7OzsBgtwVLm5uWqXoD4uAC3j7GsZZ1/juAAc3ujRo9UuwQE5fkCqrKyMj4/fsGGDtPS2l5dX586dO3fuHBAQ0LlzZw8Pj/z8/Ly8vNzc3Nzc3HPnzu3bt2/fvn3Dhg1bvny54YflGiQFJGPV1dVCCMMP0dUpMzNzyZIlR48e9fDweOutt7p27Wq6/8mTJ82vTYjTgYGBjenvaDQ+fS4AbU+fsx+odgkq4uwHql2CurgAAtUuocnV9wdhnf+SDjM5eEA6d+7c9OnTz5w54+PjM2nSpPHjx4eGhprof+nSpS+++OKzzz77/vvvx40bt27dumHDhpn5Xm5ubkKI0tLSWu3l5eXK1jpVV1dv3rz57bffrqio6Nev36uvvqqF/54BAAAAO+TgAenixYslJSVLlix5+OGH3dzczp8/b6KzXq//8ssvx44dO3Xq1B9++GHNmjUnT540PyBJzxrl5OTo9XrD+0XS8gzGzyZJKisrn3nmmYSEhNatWy9dunTixIkN3msCAAAA0EQcPCB17dp1//79LVu2lH7cuXNnZWXlwoULjXvm5uY+//zzycnJERERQoihQ4fecccdZWVl5r+Xv7+/p6fn9evX09LSevXqJTUWFhaePXtWp9MFBwfXOer1119PSEjo1q3bP/7xDz8/v0bNDgAAAIB1Ofgy3y1btlTSkWTjxo1xcXGGLXq9/sMPP4yMjJS+xUih0+k8PDzMfy9nZ2fpdtOrr76qPI+0cuXK6urqPn36dOjQQQiRnp6+ZcuWLVu2SFsLCgq2bdvm4eERFxdHOgIAAABU5+B3kGoJCQkRQqxcubJdu3b333+/ECIvL+/5558/dOiQEMLLy2vJkiUBAQEW73/BggWJiYnJycnDhw8PDw8/fvx4Tk6OTqdbtGiR1OHgwYOrVq0SQjz66KNCiEOHDlVWVrq4uCxevLjWrvz8/F5++WWLKwEAAABgAW0FpHHjxuXl5a1Zs+b555/38vI6d+7cqlWrpGUV7rnnntjYWOk+j8WCgoLi4uKWLVv2+++/79u3Twjh7++/dOnS8PBww27Ozs7Si/T0dCFEWVnZgQMHau3q5ptv/iOVAAAAALCAtgKSEOKxxx4rLS1dv379E088IbV4e3svW7Zs7NixVtn/gAED9u7dW9/WqKioqKgo5ccXXnjhhRdesMr7AgAAAPjjNBeQhBDz588vKyvbunWrEGLw4MFvvvlm27Zt1S4KAAAAgPocfJGG+jz33HOTJ08WQpw+ffr69etqlwMAAADALjj+HaTVq1fX+fVHer1eCHHhwoWpU6fedtttSvsLL7zg7e1tu/oAAAAA2A3HD0hJSUmnTp0y0SE/Pz8/P1/58emnn276ogAAAADYI8cPSI8++uiFCxfM7+/l5dV0xQAAAACwZw4ekGpqaiIjI1u0aGHBWL1eX15eXut7ZgEAAAA4MAdfpCE9Pf2ee+7ZvXt3dXV1owYeOHBgwoQJH3zwQRMVBgAAAMAOOfgdJG9v75qamhdeeGHTpk0PPPDA+PHj/f39TfS/evXqF1988dlnnx09etTDwyMkJMRmpQIAAABQnYMHJH9//y+++GL16tUff/zxa6+99vrrrwcEBHTu3Llz584BAQE33XSTk5NTXl5eXl5ebm5uTk5Obm6udK/p3nvvXbx4sZ+fn9ozAAAAAGA7Dh6QhBBeXl5///vfZ8yY8f7773/66ae5ubm5ubn1dW7RosUDDzwwY8aMbt262bJIAAAAAPbA8QOSpGvXrrGxsYsXL05JSUlOTj5+/HhhYWFRUZFer/f29u7QoUOPHj3uuOOOQYMGtWrVSu1iAQAAAKhDKwFJ4unpGRERERERoXYhAAAAAOyRtgKSQq/XFxcX19TUGG9q06aNk5ODL+4HAAAAoE6aC0g//vjjW2+9lZaWVllZWWeH7777LiAgwMZVAQAAALAH2gpImZmZ8+bNKy8vV7sQAAAAAPZIWwFp9+7d5eXlfn5+Tz311F133eXu7m7cp85GAAAAAFqgrYB06tQpIcT06dMnTJigdi0AAAAA7I62ViOQvgS2b9++ahcCAAAAwB5pKyCFhoYKIdLS0tQuBAAAAIA90lZAmjRpkoeHx7p169LT09WuBQAAAIDdcfxnkLZu3VpUVKT82LNnz9TU1AcffHDIkCEhISEtWrSo1X/OnDleXl62rREAAACAXXD8gLRr1y5pbQZDNTU1P/74448//mjcf/LkyQQkAAAAQJscPyCNHz/+3Llz5vf39PRsumIAAAAA2DPHD0hPPPGE2iUAAAAAaB60tUgDAAAAAJhAQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAACZ4y/zXaeqqqrvv/8+KyurqKho8eLFaWlpgYGBfAMSAAAAoHFaDEibNm2Ki4srKiqSfly8ePHq1auPHj36+OOPz5s3T93aAAAAAKhIcwFp5cqVW7duFUJ07NjxwoULUmPr1q3Ly8vffPNNIQQZCQAAANAsbT2DlJqaunXrVmdn55deeun777/v0KGD1P7aa68tWLBACPHee++VlJSoWiMAAAAA1WgrICUnJwshZs2aNXHiRMN2V1fXuXPnBgYGlpSU/PbbbypVBwAAAEBl2gpIR44cEUKMHDmyzq0DBw4UQhQUFNi0JgAAAAB2Q1sBydvbWwhx/fr1OreeP39eCOHn52fTmgAAAADYDW0FpF69egkhtm/fbrwpIyPj0KFDOp2ue/fuNq8LAAAAgF3QVkC67777OnXq9P333z/++ONHjx6trKwUQpw7d27Xrl2PPfZYRUVFZGQk34YEAAAAaJa2lvlu27btmjVrHn/88aSkpKSkJKlxxIgR0ovg4OAXX3xRteIAAAAAqE1bd5CEEOHh4QkJCffdd5+Xl5fS6O/v/9xzz3322WfcPgIAAAC0TFt3kCQdO3ZcvXq1EOLixYsXLlwICAho27at2kUBAAAAUJ8WA5LCx8fHx8dH7SoAAAAA2AvHD0jz5s07e/as+f3fe++9Tp06NV09AAAAAOyW4wekM2fOnDp1yvz+VVVVTVcMAAAAAHvm+AEpJibG8Jth4+LifvrpJw8Pj/vvv3/gwIFt2rQpKCjYu3fvoUOHhBAvvvhi+/bt1SsWAAAAgJocPyCFh4crr3/99ddDhw61adPmo48+CgoKUtofeuihbdu2rVixYvv27ZMmTVKjTAAAAADq09Yy35988oler3/yyScN05Fk+vTpt95666lTp3Jzc1WpDQAAAIDqtBWQMjMzhRC9evWqc2vPnj2FEBkZGTatCQAAAIDd0FZAkr7vKD8/v86tZ86cEUIYfoEsAAAAAE3RVkDq3bu3ECI+Pr6srKzWpv/85z+HDx/W6XT13V8CAAAA4PC0FZDuvvvuli1b/vLLLw8//PC//vWvs2fPXrp0KS0t7dVXX42Ojq6urr777rtbtWqldpkAAAAA1OH4q9gZCgwMfOmllxYtWnTixInnnnuu1tbg4OCVK1favqri4uITJ07k5OT4+vr26NGDdcYBAAAAtTjHxsaqXYNN3XLLLXfeeefFixfz8vKqq6ulRl9f37lz565YscLT09PG9ezevXv27NkfffTR/v37P/vss+3bt7u4uNx2222mR7399tvR0dHmv8uLX2fFjq69cF99si+Vv/mfnJEbjp65XN62pWugt3vzHSK5cuWK9PiZOex2LhZPX3ABaPsC4Oxz9s3sbLdz4ezzy58LwILpN/ZvRRjS6fV6tWtQR01Nzblz565du9a5c2fb5yJJamrq1KlT9Xr9uHHjwsPDMzIydu7cqdfr16xZM378eBMDu3fvfvLkSfPfSPfMd/q1d5rTM2jFgexL5YYtgd7uMaOCZob5Nbshiuzs7MDAwAa72awwG09fcAFo+wLg7HP2G+xms8I4+/zy5wJo6iGKxv6tCEPaCkhlZWXl5eWm+7Rp08bJyUaPZkVFRf3www9TpkxZtmyZ1LJ58+bVq1eHhIR88cUXJgY2RUCKSymYtaPeJc7rHG63Q2ox51ek3c7lj09fcAFo+wLg7HP2Tfex27lw9vnlzwXQqCG1EJD+CG0t0rB58+bBDSkoKLBNMRUVFcnJyUKI2bNnK41Tp051d3fPzMysby3yphOfcs7E1pHrjzajIRaw27nYZvqWvZHdDrGA3c6F6Td2iAXsdi5Mv7FDLGC3c+GXPxdAY4fAirQVkBrUpk2bFi1a2Oa98vLyKioqfHx8/P39lUZ3d/cePXoIIbKysmxThiQp80pS5mWTHS4nZV5pFkMsYLdzsc30bVab3R4Bu50L02f6jRpiAbudC9Pnlz8XQKOGwLq0FZDmzp37s5H9+/evWrXK39+/bdu2cXFxHTp0sE0xhYWFQohOnTrVau/YsaMQoqioyDZlSOJTGr5vVquP3Q6xgN3OxTbTt+yN7HaIBex2Lky/sUMsYLdzYfqNHWIBu50Lv/y5ABo7BNalrWeQTMjJybn//vtbtmz5ww8/6HQ6G7zjoUOHpk+f3r9//x07dhi2L1q0aM+ePStWrJgwYUJ9Y7t3796o9/otcsMte+ea7tDgTlxLi4K++5v9DzGm8ekLzR8Bps/0TXewQWFM3wZDjGl8+kLzR0Dj0xdC8AySxbT1PUgm3HTTTUOHDk1ISDh9+nRISIgN3rGmpqbOdmnx8QZDWqMu+uzs7MC1pvrP2pER19A/RUwZ0Wvrhv/fid0OMaZ75jvTh8tu52KV6QsuAG1fAJx9zr6JDnY7F84+v/y5ABo1xFhj/zEdhrT1ETvTnJ2dhQ3TtpubmxCitLS0Vru0zp601WZiRjX8PQm1+tjtEAvY7VxsM33L3shuh1jAbufC9Bs7xAJ2Oxem39ghFrDbufDLnwugsUNgXQQk2dWrVxMTE8V/HwGyAemNcnJyan3KUVqewfjZpCYV6O0eEdLORIeIkHa1vpvMbodYwG7nYpvp26w2uz0CDb7LzDA/LU+fs9/YwmxzwRi/iwXs9lQ237PfjKZvzhvZ5vq3yhAL2O1cbHYBoD7aCkgHDhxYU5dnnnkmIiKirKzMw8PjlltusU0x/v7+np6epaWlaWlpSmNhYeHZs2d1Ol1wcLBtylAkzutvYuuMMN9mNMQCdjsX20zfsjey2yEWMP0uI0Lq+C527Uyfs2+DIRZMv853sYDdnspmevab1/QbfCPbXP/WGmIBu52LzS4A1Mk5NjZW7Rps59NPP3333XePGPntt98qKyudnJxiYmL69zd1RVqRk5NTenr6qVOnsrOz//SnP0kPHS1btuzEiRN9+/adMWOGibFvv/12dHS0+e915cqVtm0b/lUS6O1+taw6+3Lt72y+/NLwfgGtm9cQQy9+nRU7uuE70XY7lz84fcEFoO0LgLPP2W+wm93OhbPPL38uAIun39i/FWFIW6vYJSYm/vvf/zZud3Nz8/X1veuuu26++WZb1pOVlXX//fffuHHDx8cnPDz8+PHjOTk5Op1u27Zt4eHhJgY29tuRzfky6f/vfKk8PqUgLrVg5kC/GebdwrbbIRJzvkrcxoXZcvqCC0DbFwBnn7Nvbmd7nQtnn1/+XAAWTL+xfyvCkLYCkh06cuTIsmXLfv/9d+lHf3//pUuX3nlnA/89N2lAcjyN+hXpkLgAtHwBcPY5+2pXoRqNn33BBaDtC4CA9Edoa5nvgwcPHjx48O677+7Tp4/x1n/+858FBQWzZ8/28vKyWUkDBgzYu3evzd4OAAAAgAnaWqQhNTV148aN6enpdW795JNPNm7ceO3aNRtXBQAAAMBOaOIO0uHDhysrK4UQubm5QoisrKyffvqpVp/r169L62vb+AuIAAAAANgPTQSk6OjooqIi5ce4uLi4uLg6e7Zu3drb29tGZQEAAACwM5oISP7+/h4eHkKIq1evFhcXt2vXrlWrVrX6ODk5+fj4TJs2zdnZWY0aAQAAAKhPEwFp165d0ot169a9/fbbCxYsePjhh9UtCQAAAIAd0tYiDR07drz11lv5EB0AAACAOmniDpJi0qRJkyZNUrsKAAAAAHbK8QPSW2+9dfbs2dDQ0KioqK+//vrrr7823f+FF17gFhMAAACgTY4fkBISEk6dOlVcXBwVFXXy5Mk9e/aY7v/000/bpjAAAAAA9sbxA9K0adMuX7588803CyGGDBni4tLAlL28vGxSFwAAAAC74/gByXDBuoEDBw4cOFDFYgAAAADYM22tYgcAAAAAJjj+HaTVq1efP3/e/P4s0gAAAABoluMHpKSkpFOnTpnfn0UaAAAAAM1y/ID06KOPXrhwwfz+LNIAAAAAaJbjB6QHH3xQ7RIAAAAANA+OH5DqVFZWduzYsezs7EuXLgUEBAQGBvbp00en06ldFwAAAAA1aS4g1dTUbNu2bdOmTUVFRYbtPXv2XLx48e23365WYQAAAABUp7llvteuXfvKK68UFRW5uLgEBwf369evU6dOQoj09PTHHnvs6NGjahcIAAAAQDXauoOUkpKyefNmIcTEiRPnz5/v4+Mjtf/888/Lly9PS0tbuHBhYmKiqjUCAAAAUI227iAdPHhQCDF69OiXXnpJSUdCiH79+m3ZsqV9+/b5+fm5ubnqFQgAAABATdoKSL/++qsQ4k9/+pPxprZt24aHhwsh0tPTbV0WAAAAAPugrYDk4eEhhGjZsmWdW52dnYUQTk7aOiYAAAAAFNoKA7feeqsQ4vvvvzfeVFZWlpycLITo3bu3rcsCAAAAYB+0FQV5iaQAACAASURBVJAiIyN9fX23bNmyY8eO6upqpb2oqGj+/PkXLlyIjIyUFrUDAAAAoEHaWsUuIyPjpptuOnfuXExMzKZNmwYMGNCqVatz584dOHDgxo0bQggnJ6dly5Yp/UeNGjV06FD16gUAAABgU9oKSGlpaSkpKdLrvLy8vLy8Wh0+//xzwx+7dOlCQAIAAAC0Q1sBaeDAgY8//rj5/fv27dt0xQAAAACwN9oKSEOGDBkyZIjaVQAAAACwU9papAEAAAAATNDWHSQhRHFx8eeff37q1KmKioo6OyxevLhdu3Y2rgoAAACAPdBWQLpy5coDDzxgvDaDoSeffJKABAAAAGiTtgLSBx98kJeX5+zsHBERERwc7OrqatyndevWti8MAAAAgD3QVkBKT08XQixYsGDOnDlq1wIAAADA7mhrkYby8nIhxIABA9QuBAAAAIA90lZA6tevnxDihx9+ULsQAAAAAPZIWwHp7rvvdnNz+/TTT7OystSuBQAAAIDd0dYzSKGhoatWrVqwYMGYMWP69evXu3dv4z7R0dFt2rSxfW0AAAAAVKetgFRUVPTGG29Ir3/++eeff/7ZuM+sWbMISAAAAIA2aSsgffrpp9nZ2TqdbvDgwV27dnVxqWP6rVq1sn1hAAAAAOyBtgLS0aNHhRDz58+fO3eu2rUAAAAAsDvaWqTByclJCDFkyBC1CwEAAABgj7QVkPr37y+EOHnypNqFAAAAALBH2gpIY8aM6dix45tvvnnmzBm1awEAAABgd7T1DNLFixfvvPPOHTt2REZGjho1ys/Pz7jPnDlzvLy8bF8bAAAAANVpKyD9+9//3rFjhxCioqJi7969dfaZPHkyAQkAAADQJm0FpF69ek2ePNl0H09PT9sUAwAAAMDeaCsgjRw5cuTIkfVtzcrK2rVrV3V1tS1LAgAAAGA/tBWQ6lRWVpaQkPDxxx+npqYKIR555BG1KwIAAACgDk0HpLS0tI8//njv3r3Xrl2TWnQ6nfRdSQAAAAA0SIsB6dq1a3v+r727j4uyyv8/fsZBGCFNQVAwDUQQb/MOdF1F3VLTMN2vbeZNSmp+04cmG7ruL1TMvppatGoqaeKCZppoVmKKFZDbogJmmoBmCDIKGqiIgDDczO+P62p2lntrmIlrXs+/mHOdmfmcOSfjzbmua44ciY6OTktLMzR6eXlNnDgxICCg1lvbAQAAALAG1hWQkpOTo6OjY2NjS0tLDY1PPvnkwoULe/bsacHCAAAAAPweWEVAys/P//TTT6Ojo7OysqQWjUYzatSo7Ozs1NTUkSNHko4AAAAACGsISKGhoQcPHqyoqBBCtGjRYsiQIRMmTBg7dqyDg8Prr7+emppq8ncsLCy8dOmSVqvt2LGjj4+Pk5NTg/3T09O1Wm2nTp169erFtzABAAAAlqL8gJSSklJRUdGyZcugoKCJEyc6Ozs36dsdOnRo7dq1RUVF0kNbW9tFixbNmzev1s56vT4qKiosLEyn00ktjzzyyOLFi2fOnNmkRQIAAAColfIDkqS8vDwqKurOnTsTJ07s3r17E71LSkpKSEiIXq8fP368n59fenr6gQMHwsLCXF1dJ0yYULP//v3733rrLRsbm5kzZ3p5eSUlJcXExKxZs8bZ2XncuHFNVCQAAACAuig/IG3dujU6OvrTTz/9+eefIyIiIiIiunfvPnHixFoTy28UHh6u1+unT5++cuVKqaVLly5vv/12eHh4zberrKzcsmWLEGLdunXS0eeff75Lly5bt27ds2cPAQkAAAAwP+V/54+7u/vSpUtPnjy5devWkSNHqtXqy5cvb9iwYcSIETExMUIIvV5vkjfS6XRJSUlCiLlz5xoaZ8yYodFoMjIycnJyqvW/fv16fn6+m5tbQECAoXHy5MlCiPT0dJOUBAAAAOChKD8gSdRq9VNPPbV9+/b4+PigoKDOnTtXVVWVlZUJITZs2LB8+fKzZ8/+xre4ceOGTqdzdnZ2c3MzNGo0Gh8fHyFEZmZmtf4lJSVdu3b9wx/+oFKpDI2FhYVCiNatW//GYgAAAAD8Cso/xa6aDh06zJ8//5VXXjlz5kx0dPSJEyeKioqio6Ojo6O7dOny5z//efbs2RqN5le8cn5+vvT61dpdXFyEELdv367W3qNHj2PHjlVrjIqKEkI88cQTv6IAAAAAAL+R1QUkiUqlGjJkyJAhQ+7du/fZZ58dPHjw8uXL2dnZmzZtmjhxYqdOnX7Fa1ZVVQkhWrZsWa3dzs5OCGG4T109T3/nnXcOHz7csmXLxYsXN/h2td5qIjY2ttbO169fb/AFlc3wFVjWiQVgzQuA2Wf2rZk1z75gAVjHAhg7dqylS1AgKw1IBo8++ujMmTNnzpz5ww8/REdHHz161PiEt1rdv38/LCzMuKV169bBwcFSQKqpsrJSCFH/y2ZkZISEhJw7d87e3n7z5s3dunVrsPLLly832MeYu7v7Q/VXlqvWPXwhWABWPXxm393SNViSdQ/f2mdfsACsYPh1/ULYdDdttgbWHpAM+vTp06dPn5CQEGnDpx5FRUX79u0zbnFxcQkODra1tRVClJSUVOtfWloqhJCO1lRZWblz584tW7bodLp+/fqtX7/eGv5jBgAAAH6fCEj/pcF0JIRwcnLau3evcYuDg4P45VojrVar1+uN94uk2zPUvDZJCFFeXh4cHBwbG9u6desVK1b85S9/aXD/CgAAAEDTISA9NFtb20GDBtVsd3Nzc3BwKC4uTk1N7d27t9SYn5+fnZ2tUqm6du1a8yn/+Mc/YmNjvby8PvjgA1dX16atGwAAAEBDrOU232agVquHDx8uhFi/fr3heqR169ZVVlb27du3ffv2Qoi0tLRdu3bt2rVLCJGbm7t79257e/vIyEjSEQAAAPB7wA6SKQUFBcXHxyclJfn7+/v5+V24cEGr1apUqiVLlkgdTp06tWHDBiHE7Nmzz5w5U15ebmNjs3Tp0mqv4+rqunbtWnNXDwAAAFg9ApIpeXh4REZGrly58sqVK0ePHhVCuLm5rVixws/Pz7ibWq0WQqSlpQkhHjx4kJiYWO11Hn/8cXOVDAAAAOA/CEgmNmDAgJiYmLqOzpkzZ86cOdLPr7/++uuvv26uugAAAAA0jGuQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAIByZN0pfSM2Uwjx0v70hIwCS5eD5sfG0gUAAAAApuGxJjHrTqn0c2RybmRyrrujJnSMR6Cvq2ULQzPCDhIAAACavcjkXFVwnCEdGWTdKX1pf7pFSkIzRUACAABAsxeVfLOeo6O2nTNbJWjuOMXO9AoLCy9duqTVajt27Ojj4+Pk5NTIJ+bl5X311Vd9+vTp3bt3k1YIAACgJAkZBQkZd+vtcDcho2CkZ1uzlYTmi4BkYocOHVq7dm1RUZH00NbWdtGiRfPmzWvwiXq9/m9/+1tiYuKiRYsISAAAAI0XlZzbmD4EJDQGAcmUUlJSQkJC9Hr9+PHj/fz80tPTDxw4EBYW5urqOmHChPqfu2fPnsTERPPUCQAAoCSRjQhI9W8xAQYEJFMKDw/X6/XTp09fuXKl1NKlS5e33347PDy8/oB05cqVd955x97evqSkxCyVAgAAKEegr2uDGWmkZzvzFIPmjps0mIxOp0tKShJCzJ0719A4Y8YMjUaTkZGRk5NT1xPLy8uXLl3q4OCwZMkScxQKAACgLKFjPEzSBxAEJBO6ceOGTqdzdnZ2c3MzNGo0Gh8fHyFEZmZmXU/cuHFjenr66tWrHR0dzVEoAACAsrg7aurfIAr0dXV31JitHjRrnGJnMvn5+UKIDh06VGt3cXERQty+fbvWZyUlJe3atevZZ58dPXr0sWPHGv923bt3r9kYGxtba+fr1683/pUVKSsry9IlWBILwJoXALPP7Fsza559YX0L4J/j23m8V+dVRr0erVDkehg7dqylS1AgApLJVFVVCSFatmxZrd3Ozk4IodPpaj7l/v37y5Ytc3Z2XrFixcO+3eXLlx+qv7u7+8O+hYJcte7hC8ECsOrhM/vulq7Bkqx7+NY++8L6FsA/X7CLSr5Z7WYM7o6azJChliqpqdX1C2Gtf0lHIxGQHtr9+/fDwsKMW1q3bh0cHCwFpJoqKyuFECqVquah1atX5+Tk7Ny5s02bNk1RKgAAgPUI9HUN9HXNulMalZy787R27pDOszizDg+PgPTQioqK9u3bZ9zi4uISHBxsa2srhKh5G7rS0lIhhHTUWGxs7Oeffx4QEDBgwIDi4mIhRFlZmRCivLy8uLjYzs7OxobZAQAAeDjujprQsR6zuqusbQMNpsKv4A/Nyclp7969xi0ODg7il2uNtFqtXq833i+Sbs9Q89qk7777TggRExMTExNj3P7++++///77oaGh06ZNa5oRAAAAAKgdAemh2draDho0qGa7m5ubg4NDcXFxampq7969pcb8/Pzs7GyVStW1a9dq/fv06TN69GjjFq1We+nSJU9Pz65du3bu3LmJ6gcAAABQFwKSyajV6uHDhx8/fnz9+vVRUVEtWrQQQqxbt66ysvKJJ55o3769ECItLe306dNCiNmzZwcEBAQEBBi/wrFjx4KCgsaPH79w4UKLDAEAAACwcgQkUwoKCoqPj09KSvL39/fz87tw4YJWq1WpVIZvgD116tSGDRuEELNnz7ZopQAAAABqwRfFmpKHh0dkZKSXl1deXt7Ro0e1Wq2bm9u2bdv8/PyMu6nV6lqfLrXXdRQAAABAU2MHycQGDBhQ7aYLxubMmTNnzpy6jo4ZM+Zhv90IAAAAgAmxgwQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAICMgAQAARcm6U/pGbKYQ4qX96QkZBZYuB0AzY2PpAgAAAEzGY01i1p1S6efI5NzI5Fx3R03oGI9AX1fLFgaguWAHCQAAKEFkcq4qOM6Qjgyy7pS+tD/dIiUBaI4ISAAAQAmikm/Wc3TUtnNmqwRAs0ZAAgAAzV5CRkFCxt16O9zleiQAjUFAAgAAzV5Ucq5J+gAAAQkAADR7kY0IP/VvMQGAhIAEAACavcbcpG6kZzszVAKguSMgAQCAZi90jIdJ+gAAAQkAADR77o6a+jeIRnq2c3fUmK0eAM0XAQkAAChB/IL+9Ryd5dvRbJUAaNYISAAAQCH++UKPmvtI7o4afdifGnOREgAIIWwsXQAAAIBpBPq6Bvq6Zt0pjUrO3XlaO3dI51m+rpxZB+ChEJAAAICiuDtqQsd6zOqucnd3t3QtAJofTrEDAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAChQ1p3SN2IzhRAv7U9PyCiwdDkAgGbDxtIFAABgYh5rErPulEo/RybnRibnujtqQsd4BPq6WrYwAMDvHztIAADliEzOVQXHGdKRQdad0pf2p1ukJABA88IOkukVFhZeunRJq9V27NjRx8fHycmpwafcu3cvKSmptLTU29u7e/fuZigSABQpKvlmPUdHbTsXv6C/2YoBADRHBCQTO3To0Nq1a4uKiqSHtra2ixYtmjdvXl39CwoKFixY8N133+n1eqll5MiRGzdubNWqlTnKBQAFScgoSMi4W2+HuwkZBSM925qtJABAs8MpdqaUkpISEhJSVFQ0fvz4VatWTZkypby8PCws7MiRI7X2Ly4unj179tmzZ3v27Ll48eIXX3yxbdu2CQkJ77zzjpkrBwAFiErONUkfAIA1YwfJlMLDw/V6/fTp01euXCm1dOnS5e233w4PD58wYULN/vv3709NTR00aNDu3bvVarUQwt/f/+WXXz569Ojy5ctVKpVZqweAZi6yEeGn/i0mAADYQTIZnU6XlJQkhJg7d66hccaMGRqNJiMjIycnp+ZTYmJihBBvvPGGlI6EEP7+/qtWrVqwYEFVVZVZqgYA5WjMTepGerYzQyUAgOaLHSSTuXHjhk6nc3Z2dnNzMzRqNBofH5/vv/8+MzPTuF0I8fPPP6elpXXu3Llbt25FRUUXL14sLy/v0aPH1KlTzV47AChB6BiPBjeRQsd4mKcYAEAzRUAymfz8fCFEhw4dqrW7uLgIIW7fvl2t/datW0IIb2/v9evXR0ZGGraMJk6cGBoa6uDg0OQVA4CyuDtqRnq2q+ckupGe7dwdNeYsCQDQ7BCQTEZKOC1btqzWbmdnJ4TQ6XTV2qXIlJCQUFlZOXTo0MGDB9++ffvgwYOfffZZRUXFu+++W//b1Xo38NjY2Fo7X79+vXGDUKysrCxLl2BJLABrXgDWNvv/HN/O4706A9IzHjZWtRisbfarsfLhC6v/BKxk+GPHjrV0CQpEQHpo9+/fDwsLM25p3bp1cHBwXVcNVVZWCiFq3nGhpKREOjp16tRVq1ZJjZMmTfrLX/5y9OjR+fPne3l51VPG5cuXH6psd3f3h+qvLFete/hCsACsevhWN/v/fMEuKvlmtX0kd0dNZshQS5VkQdY2+9VY+fCF1X8C1jD8un4h5Hs1fwsC0kMrKirat2+fcYuLi0twcLCtra34JfYYKy0tFUJIR421adNG+uHVV181NPbq1WvYsGHffPPNxYsX6w9IAIBaBfq6Bvq6Zt0pjUrO3XlaO3dI51m+rpxZBwBoJALSQ3Nyctq7d69xi3S9kHStkVar1ev1xvtFmZmZorZrk9q1ayeEaNWqlaOjo3G7dC+HvLy8JqkeAKyDu6MmdKzHrO4qa/gTMgDAhAhID83W1nbQoEE1293c3BwcHIqLi1NTU3v37i015ufnZ2dnq1Sqrl27Vuvv4+PTpk2bwsLC3NxcV9f/3Jr2p59+EkJ06tSpyUYAAAAAoHZ8D5LJqNXq4cOHCyHWr19vuB5p3bp1lZWVffv2bd++vRAiLS1t165du3btkvqPGjVK6lNRUSH1//rrr5OTk+3t7QcPHmyZYQAAAABWjB0kUwoKCoqPj09KSvL39/fz87tw4YJWq1WpVEuWLJE6nDp1asOGDUKI2bNnCyGCg4OTk5OPHz+ekZExePDgW7duff3110KIefPmSYEKAAAAgDmxg2RKHh4ekZGRXl5eeXl5R48e1Wq1bm5u27Zt8/PzM+6mVqulHzp06LBz584RI0bk5OR8+OGHX375paur69q1a+fPn2+J8gEAAABrxw6SiQ0YMCAmJqauo3PmzJkzZ45xi6en544dO5q+LgAAAAANYwcJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAIqVdaf0jdhMIcRL+9MTMgosXQ4AAGgGbCxdAAA0CY81iVl3SqWfI5NzI5Nz3R01oWM8An1dLVsYAAD4PWMHCYDSRCbnqoLjDOnIIOtO6Uv70y1SEgAAaC4ISACUJir5Zj1HR207Z7ZKAABAs0NAAqAoCRkFCRl36+1wl+uRAABAXQhIABQlKjnXJH0AAIB1IiABUJTIRoSf+reYAACANSMgAVCUxtykbqRnOzNUAgAAmiMCEgBFCR3jYZI+AADAOhGQACiKu6Om/g2ikZ7t3B01ZqsHAAA0LwQkAEoTv6B/PUdn+XY0WyUAAKDZISABUKB/vtCj5j6Su6NGH/anxlykBAAArJaNpQsAANML9HUN9HXNulMalZy787R27pDOs3xdObMOAAA0iIAEQLHcHTWhYz1mdVe5u7tbuhYAANA8cIodAAAAAMgISAAAAAAgIyABAAAAgIyABAAAAAAyAhIAAAAAyAhIAAAAACAjIAEAAACAjIAEAAAAADICEgAAAADICEgAAAAAILOxdAEKVFhYeOnSJa1W27FjRx8fHycnp/r737t378KFC7m5ua6urj169Gjfvr156gQAAABQDQHJxA4dOrR27dqioiLpoa2t7aJFi+bNm1dX/927d2/cuLG4uFh62LJly5dffnnx4sXmqBUAAADAfyMgmVJKSkpISIherx8/fryfn196evqBAwfCwsJcXV0nTJhQs/9XX321Zs0atVo9ZcqUXr16nTlz5ssvv9y2bVunTp2ee+4589cPAAAAWDkCkimFh4fr9frp06evXLlSaunSpcvbb78dHh5ea0CKiYkRQsybNy8oKEgIMWXKlDVr1uzevfuzzz4jIAEAAADmx00aTEan0yUlJQkh5s6da2icMWOGRqPJyMjIycmp+ZTbt28LIfr06WNoGTx4sBDi7t27TV4uAAAAgBoISCZz48YNnU7n7Ozs5uZmaNRoND4+PkKIzMzMmk8ZMmSIECI+Pt7Qcvz4cSHEH//4xyYvFwAAAEANnGJnMvn5+UKIDh06VGt3cXERv2wWVTNlypSvv/46Ojr6+vXrvXv3/ve//52Wlubp6Tlr1qwG36579+41G2NjY2vtfP369QZfUNmysrIsXYIlWfkCYPiWLsGSGL6lS7AkKx++sPpPwEqGP3bsWEuXoEAEJJOpqqoSQrRs2bJau52dnRBCp9PVfEq7du3GjBmTmpp66tSpU6dOSY1PP/10x44dG3y7y5cvP1R57u7uD9VfWa5a9/CFsPYFwPDdLV2CJTF8S5dgSVY+fGH1n4A1DL+uXwhr/Us6GomA9NDu378fFhZm3NK6devg4GApINVUWVkphFCpVDUPrVy58uDBg/b29tOmTevZs+fVq1ejoqK2bt2ampq6ffv2pigeAAAAQD0ISA+tqKho3759xi0uLi7BwcG2trZCiJKSkmr9S0tLhRDSUWMVFRXHjh1r0aLFjh07fH19pcann376ueeeS0hIuHXrVs2z9QAAAAA0KQLSQ3Nyctq7d69xi4ODg/jlWiOtVqvX6433i6TbM9RMO999911xcbGnp6chHQkhvLy8hgwZkpCQcOrUqUmTJjXdKAAAAADUREB6aLa2toMGDarZ7ubm5uDgUFxcnJqa2rt3b6kxPz8/OztbpVJ17dq1Wn8pVlVUVFRrf/DggeEoAAAAAHPiNt8mo1arhw8fLoRYv3694XqkdevWVVZW9u3bt3379kKItLS0Xbt27dq1Swjh5eVla2t77dq1ffv2GfrHx8cnJSW1aNHC+MuRAAAAAJgHO0imFBQUJCUcf39/Pz+/CxcuaLValUq1ZMkSqcOpU6c2bNgghJg9e7atre2yZcvefPPNVatWbd26ddSoUfn5+fHx8Xq9/pVXXmnMjewAAAAAmBYByZQ8PDwiIyNXrlx55cqVo0ePCiHc3NxWrFjh5+dn3E2tVks/zJgxo1WrVlu3br1x48aBAweEEE5OTgsWLJg6dar5iwcAAABAQDKxAQMGxMTE1HV0zpw5c+bMMW6ZPHny5MmTm74uAAAAAA3jGiQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAgpJl3Sl9IzZTCPHS/vSEjAJLlwMAAIDfOxtLFwA0FY81iVl3SqWfI5NzI5Nz3R01oWM8An1dLVsYAAAAfrfYQYICRSbnqoLjDOnIIOtO6Uv70y1SEgAAAJoFAhIUKCr5Zj1HR207Z7ZKAAAA0LwQkKA0CRkFCRl36+1wl+uRAAAAUCsCEpQmKjnXJH0AAABghQhIUJrIRoSf+reYAAAAYLUISFCaxtykbqRnOzNUAgAAgGaHgASlCR3jYZI+AAAAsEIEJCiNu6Om/g2ikZ7t3B01ZqsHAAAAzQgBCQoUv6B/PUdn+XY0WyUAAABoXghIUKZ/vtCj5j6Su6NGH/anxlykBAAAAOtkY+kCgCYR6Osa6Ouadac0Kjl352nt3CGdZ/m6cmYdAAAA6kdAgpK5O2pCx3rM6q5yd3e3dC0AAABoBjjFDgAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAACl/bbwAAGTpJREFUAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAsgpjx461dAmWZOXDF1b/CTB8S5dgSQzf0iVYkpUPX1j9J2Dlw8dvQUD6HcnMzNy3b9+9e/csXQgAAABgpWwsXQD+Y/PmzV988YW3t/fAgQMtXQsAAABgjQhIvwvFxcURERFffPGFpQsBAAAArBoBycJOnjz59ttvX7t2rayszNK1AAAAANaOgGRher2+oqKiU6dOQojs7OyKigpLVwQAAABYLwKShY0YMWLEiBHSz/Pnz4+Li7NsPQAAAIA14y52AAAAACBT6fV6S9cAmbSD9NFHHzV4F7vu3bubpyQAAAA0R5cvX7Z0Cc0Vp9iZw/3798PCwoxbWrduHRwc/KtfkBUPAAAANAUCkjkUFRXt27fPuMXFxeW3BCQAAAAATYGAZA5OTk579+41bnFwcLBUMQAAAADqQkAyB1tb20GDBlm6CgAAAAAN4C52AAAAACAjIAEAAACAjID0O6JWqy1dAgAAAGDV+B4kAAAAAJCxgwQAAAAAMgISAAAAAMgISAAAAAAgIyABAAAAgIwvilW4wsLCS5cuabXajh07+vj4ODk5Wboi87lx40ZJSUm1RkdHR8V/CJmZmadPnx4/fvyjjz5a7ZA1rIe6hq/49VBYWJienq7Vajt16tSrV682bdrU7KDs2a//E1D8AsjLy0tLS8vPz3dzc+vbt6+Dg0O1DspeAPUPX/Gzb5CXl/fVV1/16dOnd+/exu3Knn2DWodvPbMPEyIgKdmhQ4fWrl1bVFQkPbS1tV20aNG8efMsW5XZvPzyyxkZGdUa58+fHxQUZJF6zGbz5s1ffPGFt7f3wIEDjdutZD3UNXwFrwe9Xh8VFRUWFqbT6aSWRx55ZPHixTNnzjT0UfbsN+YTUPACqKysfO+993bs2FFZWSm1PProo8uWLZs8ebKhj4IXQGOGr+DZN6bX6//2t78lJiYuWrTIOCEoePaN1TV8K5l9mBYBSbFSUlJCQkL0ev348eP9/PzS09MPHDgQFhbm6uo6YcIES1fX5MrKyrKysjp06PD0008bt/fv399SJZlBcXFxRETEF198UfOQNayHeoav7PWwf//+t956y8bGZubMmV5eXklJSTExMWvWrHF2dh43bpywgtlv8BNQ/AIIDw9v1arVrFmz2rZtGx8ff+bMmRUrVnTt2lUaoLIXQIPDV/bsG9uzZ09iYmK1RmXPvrFah289sw8T00OhZs+e7e3t/cYbbxhaPvjgA29v73HjxlmwKrO5ePGit7f3//t//8/ShZjJN998ExAQ0KdPH+9fpKSkGHdQ9npocPgKXg8VFRVDhw719vb+/PPPDY2bNm3y9vaeOnWq9FDZs9+YT0DBC0Cv1//xj3/09vY+deqUoeX555/39vZev3699FDZC6DB4St79g1+/PHHPn369OvXz9vb+7333jO0K3v2DeoavpXMPkyOmzQok06nS0pKEkLMnTvX0DhjxgyNRpORkZGTk2O50szkxx9/FEL4+PhYuhAz0ev1FRUVnTp16tq1q41N9Z1hxa+H+ocvFL0erl+/Ll13ERAQYGiUTi5KT08XVjD7DX4CQtELIC8vLy8vz8PDY8iQIYbGZ555Rgih1WqF0hdAg8MXip59g/Ly8qVLlzo4OCxZssS4Xdmzb1DX8IV1zD6aAqfYKdONGzd0Op2zs7Obm5uhUaPR+Pj4fP/995mZmcbtinT58mUhRMeOHT/++ONr16516NChX79+TzzxhKXraiojRowYMWKE9PP8+fPj4uKMjyp+PdQ/fKHo9VBSUiKdSqRSqQyNhYWFQojWrVsLK5j9Bj8BoegFoFarV69e7eLiYtwo/U7s5+cnlL4AGhy+UPTsG2zcuDE9PX3Lli0VFRXG7cqefYO6hi+sY/bRFAhIypSfny+E6NChQ7V26f8it2/ftkBN5iX9m/jaa6+Vl5cbGidMmLB27VpbW1vL1WUZrAcFr4cePXocO3asWmNUVJQQQvolQPGz3+AnIBS9ABwdHadMmSL9fO7cuYyMjOPHj//rX//q2bOndIWJshdAg8MXip59SVJS0q5du5599tnRo0dX+29B2bMvqWf4wgpmH02EgKRMVVVVQoiWLVtWa7ezsxNCGG70pGDSv4m9e/eePn16hw4dEhMTd+7ceeTIkc6dOy9evNjS1Zkb68F61kNVVdU777xz+PDhli1bSkOzttmv+QkIq1kAYWFhycnJ0s8LFixo27atsKYFUOvwhdJn//79+8uWLXN2dl6xYkXNo4qf/fqHL5Q++2g6BCRlkv5NrEm6C6rxiSiKVFlZOXfu3BYtWkyfPl36H4Ofn5+Xl9drr722c+fOhQsXqtVqS9doVqwHK1kPGRkZISEh586ds7e337x5c7du3YSVzX6tn4D1LIAlS5bcunUrPT19z549CxcufOmll/7+979bzwKodfiKn/3Vq1fn5OTs3Lmz5lefCSv4z7/+4St+9tF0uEmDMkkbxzW/Ga20tNRwVMHUavXs2bMDAwON/2z2zDPPuLi46HS6rKwsy5VmGawHxa+HysrK7du3T5o06dy5c/369Tt8+PDw4cOlQ1Yy+/V8AtawACT9+vUbO3ZsUFBQREREixYt9u/fX15ebiULQNQxfGXPfmxs7Oeffx4QEDBgwIDi4uLi4uKysjIhRHl5eXFxcUVFhbJnv8HhK3v20aQISMoknV6s1Wr1er1xe2ZmpqjtdGSFqaqqKi4urnnygPS12bdu3bJEUZbEelD2eigvL//rX//67rvv2tnZvfnmm/v373d3dzcctYbZr/8TUPYCiIuLCwkJOXHihHFjv379PD09Hzx4cO7cOWUvgAaHr+zZ/+6774QQMTExA36xbNkyIcT7778/YMCAAwcOKHv2Gxy+smcfTYqApExubm4ODg4lJSWpqamGxvz8/OzsbJVK1bVrVwvWZgZffvnlgAEDli5datxYWloq/bnI+DcnK8F6UPZ6+Mc//hEbG+vl5XXkyJHnn3++2mkz1jD79X8Cyl4ABQUFBw8e3LZtW7X24uJiIcQjjzyi7AXQ4PCVPft9+vQZ/d+k+1l7enqOHj26c+fOyp79Boev7NlHkyIgKZNarZZOL1m/fr3hFOR169ZVVlb27du3ffv2Fq2uyfXp00cI8dVXX6WkpEgter0+LCzswYMHXl5eyrir6UNhPQjlrofc3Nzdu3fb29tHRka6urrW7KD42W/wE1D2Aujdu7cQIj09/ezZs4bGyMjInJycVq1aeXt7K3sBNDh8Zc9+QEDAlv/2yiuvCCHGjx+/ZcuW4cOHK3v2Gxy+smcfTYqbNChWUFBQfHx8UlKSv7+/n5/fhQsXtFqtSqWq+TVqyuPm5vbiiy/u2bNn5syZTz75pKur69mzZy9evNiyZcvVq1dbujrLYD0odT2cOXOmvLzcxsam2l9JhRCurq5r164VSp/9Bj8BZS8Ab2/v559//sCBA7NmzRo9erSzs/OFCxfOnTsnhAgNDZW+N1nBC6DB4St79htDwbPfIGYfv5p61apVlq4BTaJdu3aDBw+W/im8cuVKYWGhm5vbhg0bhg0bZunSzGHo0KEajebixYtpaWnnz5+/fft2v379wsPDpb8nKdvx48evXr06efJk4z+PWc96qHX4Cl4Pn3zyyfnz5ysqKrQ1lJSUvPjii0Lps9+YT0DBC0AIMWzYMI1Gc/78+dTU1PPnz9+8edPT0/ONN94ICAiQOih7ATQ4fGXPfjWZmZnHjh0bOnSor6+v1KLs2a+m5vCtavZhQqpq1+1BeQoLC69fv96xY0dHR0dL12Juer0+JyenuLjY3d29ud+ux1RYD9a8Hqx59oXSF4Ber79169adO3cee+yxWm95LBS9ABocvrJnvzEUPPsNYvbxsAhIAAAAACDjJg0AAAAAICMgAQAAAICMgAQAAAAAMgISAAAAAMgISAAAAAAg44tiAcB6hYWF5eTktGnTJjQ01NK1AADwu0BAAgArFRcXt2PHDhsbmw8++MDStQAA8HvBKXYAYI3KysrWrl0rhFi9evXQoUMtXQ4AAL8XBCQAsEYRERFarXbBggWTJ0+2dC0AAPyOqPR6vaVrAACYW35+fkFBQbdu3SxdiBVJSkoqLCx86qmn6ulz69at7777rmfPno8//rjZCgMAGGMHCQCsxaFDh574xZNPPjl58uQn/tvixYsb+VKLFi164oknoqOjm7RgYw8ePHjw4IHhj3qrVq164okntmzZ0piHvwfp6emBgYEfffSRqLc8Ozu75cuXv/rqq5WVlWavEQAgBAEJAKyHTqcrrVd5eXkjX6qkpKS0tNScv8T379+/X79+N27ckB6Wl5eXlpZWVFQ05qHFVVZWhoSEVFVVLVmyRNRbXtu2bWfPnn3p0qUDBw6YvUwAgBDcxQ4ArE2bNm0SEhJqPaRWq81by683bNgwOzu7gQMHWrqQRjl+/HhqauqYMWN69uzZYOfAwMCIiIgtW7ZMnjzZ1tbWDOUBAIwRkADA6jg4OFi6hN9q3Lhx48aNs3QVjbVnzx4hxJ///OfGdHZwcBgzZszhw4ePHj3ayKcAAEyIgAQAqMXp06djY2MvXrxYUFDg5ub2xz/+cdq0aY888ki1bgkJCR9//PFPP/2kUql69Ojxyiuv9OjRw3C0uLj40KFDcXFxN2/eLC8vd3R0HDp06KxZsxwdHaUOu3fvTk1NnTt3bkFBwdGjR8+ePVtWVlbtddatW3f37l3p6qP169fb29tPmTIlMzMzKSnpT3/609ixYxs5ogsXLhw5ciQtLe3nn3/28vLq3bv3jBkz2rRpY+jQmGKEEKdOnTpw4MCVK1cePHjg5OTUr1+/6dOn13NPhcuXL587d65t27b+/v519amoqNi0adPPP/9sY2OzdOnSCRMmHD58eM+ePQQkADA/AhIA4L/o9frNmzeHh4cb7oiQnZ19+vTpjz766MCBAy4uLoaeH3744ZUrVwwPr1279vXXX3/44Yf9+vUTQhQWFk6bNs24w/Xr1y9cuHDixIlPPvmkVatWQohvvvnm22+/tbe3j46ONlwBVe11Dh06VFhYKB06ceKEEGLgwIHnz5//9NNPXV1dGxmQtm/fvmnTJsNFU9nZ2V9//XV0dPSmTZv69u0rNTammF27dq1fv954ROfPn//kk08++ugjb2/vWt/622+/FUL07t3bxqb2/+fqdLrFixfHxcVpNJqNGze2bdt2wIABQojU1NS8vDxnZ+fGDBAAYCrcpAEArEtJSckPdZBuG3DixIlt27bp9fpJkyZ9/PHHX3755YoVK9q2bZubmxsSEmL8UleuXOnRo0dUVNTJkyfXr1/fsWPH8vLyHTt2SEe3b99+5cqV9u3br1u37sSJE2fOnFm1apVarb569erZs2eNX+ejjz7q1q1bXa+zZcuWiIgI6ed169ZFRETUsxVTq/j4+HfffbeystLf3//gwYPffvvtxo0b27dvn5OTs2jRotLS0kYWU15e/t577wkhXnjhhbi4uLNnz0ZGRnbu3Pn+/fvbtm2r692TkpKEEI899litRx88ePDKK6/ExcW1adNm165do0aNEkK0atVK2mRLTEx8qJECAH47dpAAwLpUVFQ899xztR7697//7eTktHnzZiHEM888Y9gqmTFjhl6v/7//+7/ExMSioiLDiXbt2rXbs2dP69athRCTJk3Ky8t75513fvzxR+nomTNnhBBBQUGG88SmTp366aeffv/99xkZGcOGDTO8b/2vM3jwYCGESqXS6/W+vr51JY16bNiwQQgxdOjQHTt2qFQqIcS4ceN69er1zDPP3Lx5c/fu3fPmzWtMMdnZ2SUlJUKI559/vlOnTkKIP/zhDytXrlyyZEl2dnZd756amirqCEhFRUX/+7//m5KS4uzsHBER0b17d8OhTp063blz54cffpg4ceLDjhcA8FuwgwQA1kWtVvesg42NTX5+/k8//SSEmD17tvGzpk6dGhERsX37do1GY2icMGGCFCQkUua5c+eO9HDz5s0xMTEBAQHSw/Ly8pMnT0ovXlVVZfzi9b/Ob5SXl3f16lUhxOLFi6V0JOnSpcv//M//CCFOnz7dyGI8PDzat28vhFi0aFF0dHReXp4Qwt/fPykp6ZNPPqn13fV6vfRcKVAZu3fvXmBgYEpKiq2t7f79+43TkfglUElvAQAwJ3aQAMC6ODg4HD58uK6jKSkpQgi1Wm18WwIhhI2NjfGej6Rz587V+gghDFcuubm55eXlffzxx+fOnfvpp5+ysrLq+mKi+l/nN8rMzBRCtGjRotqIhBC9evUydGhMMS1atFi6dGloaOiNGzeWL18udR4yZMizzz7r5+dX67vfv39fuvCpZkCSvjRWCKHT6VJSUqptMUn9TZUSAQCNR0ACAPzHvXv3hBB2dnaN+U6k+r+l57PPPlu+fLlOp1OpVO7u7v7+/l5eXnFxcca3bWjM6/xG0iVGKpWq5rtItzsvLi5ufDGTJk0aMGDA559//s0336Smpmq1Wq1WGx0dPXny5DVr1hjvUElatJDP1Kj1S3X9/PxsbW2//fbbNWvWDB061PgGGC1bthRC/H6+6xYArAen2AEA/kPauCgpKTHcOE5SVVW1f//+ffv2/fzzz415ncLCwtdff12n002aNCkxMfH48ePh4eGvvfZaPbfDbiLSzkxlZeXNmzerHbp27ZoQ4mFL6tKly8KFC6Ojo8+ePbtt2zbpjnOHDh1KTk6u2fmRRx6xs7MTQty4caPaoSFDhkRERKxbt65NmzaFhYUrVqwwPnr9+nUhhOF+6AAAsyEgAQD+4/HHH5f2jo4cOWLcHhsbGxoaunr16kbu9ly8eLGioqJFixahoaGG3/IrKysvX75s8prr16VLF3t7eyHEgQMHjNvLy8s//fRTIURdt+euKT4+fty4ca+++qr0sFWrVk8++eTOnTulu1ZcunSp1mc5OTkJIbRabbX2/v3729raOjs7//3vfxdCJCQkGF/IJAUq6bkAAHMiIAGA1amsQ1VVVatWraRbF2zatOn777+X+mdmZoaHhwshBg4c2LZt28a8hXTpTlVVVVZWltTy4MGD0NBQKSeUlZU9bM1SbPsVNy2wsbEJDAwUQkRERHzxxReGYkJCQq5du6ZWq+fOndvIl+rUqdPVq1e/+uqruLg4Q+OtW7d0Op0QwsvLq9Zn9enTR9S2g2QwefJk6fqut95669atW1KjtIPUs2fPRtYGADAVrkECAOtSWFhY16/dvr6+H3744eLFixMSEvLy8qZNm+bt7V1RUSFdNaTRaEJDQxv5Lr169Xr00Ufv3bv3wgsv+Pn5lZWVXbp0qbCwsF27dnfv3t29e7e9vf3MmTMbX7arq6tWq50+fXrbtm2lLZfGe/nll+Pi4i5duvTXv/51y5YtHTp0SEtLKygoEEIsXLjQw8Ojka/j5eU1bNiwb7/9dv78+d27d3/88ccLCgq+//57nU7XrVu3/v371/qsoUOHxsbGSoGnLm+++WZAQEBhYeHy5cs/+OADnU4nRcG67v0AAGg67CABAGTSLo2zs/ORI0eefvppOzu79PR0KR31799/79691TZJpG2iak+XGh0cHLZu3erh4VFWVvavf/0rKSnJ1tZ27dq127ZtU6vVt2/fNnzNUf2vY7Bs2bJOnTrp9frbt2+XlpZK9zAw9Kn/ob29fXR0dGBgYLt27TIyMhITE+/du+fh4REeHr5gwYJqH0I9xahUqs2bN0+dOrVVq1aXL18+ceJEUlKSSqUaP3787t27jW+AbmzEiBFqtTo1NVXaaKpZnhDCzc1t6dKlQoiTJ08ePXr0woULer3ezc2ta9eutb4mAKDpqEx1H1UAgMJUVVVdu3atpKTk8ccfN3w57EPR6/U3btzIz89/7LHHpG8QEkLcvXv31q1bXl5ejblRnsndvHkzLy/P09NTujDp1ykrK7t58+adO3ceffRRV1fXVq1a1d9/0aJFJ06c2Lx589ixYxvz+itXrvz444+Dg4ONv8EWAGAeBCQAAJrW2bNnp02bNmrUqPfff7/Bzg8ePPD39y8rKzt58mQjr/gCAJgQp9gBANC0Bg4cOGLEiPj4+B9++KHBzrt37y4sLJwzZw7pCAAsgh0kAACaXFZWVkBAwKBBgyIjI+vpVlBQ8NRTTzk7O3/22WdN+v25AIC6EJAAADCHc+fO3bp1a/To0fVcfFVQUHD69GkfHx93d3czlgYA+A8CEgAAAADIuAYJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJARkAAAAABARkACAAAAABkBCQAAAABkBCQAAAAAkBGQAAAAAEBGQAIAAAAAGQEJAAAAAGQEJAAAAACQEZAAAAAAQEZAAgAAAAAZAQkAAAAAZAQkAAAAAJD9f1nT0+BffnftAAAAAElFTkSuQmCC" + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "N=50; %longueur de la réponse\n", + "h = analyse_delay(0.9,5,N);\n", + "\n", + "figure;\n", + "stem(0:N-1, h, 'filled');\n", + "xlabel('Échantillons (k)');\n", + "ylabel('Amplitude h(k)');\n", + "title('Réponse impulsionnelle du filtre delay');\n", + "grid on;" + ] + }, + { + "cell_type": "markdown", + "id": "d5bf7274", + "metadata": {}, + "source": [ + "Cette représentation temporelle de $h(k)$ correspond bien à ce qu'on attendait. En effet, le signal de sortie est renvoyé avec 5 échantillons de retard et son amplitude est progressivement atténuée, traduisant la stabilité du filtre, ce qui est normal, comme nous avons choisi $g = 0,9$. De plus, nous avons bien des oscillations qui proviennent de l'effet de rétroaction $-g$.\n" + ] + }, + { + "cell_type": "markdown", + "id": "1f37f92d", + "metadata": {}, + "source": [ + "<p><b>Question 3.13</b></p>\n", + "\n", + "$y(k) = x(k)*h(k)$\n", + "\n", + "Ce qui nous donne dans le domaine fréquentielle : \n", + "\n", + "$$\\hat{h}(\\nu) = \\frac{Y(\\nu)}{X(\\nu)}$$\n", + "\n", + "Appliquons la transformée de Fourier à l'équation du filtre de retard : \n", + "$$Y(\\nu) = X(\\nu)-gY(\\nu)e^{-j2\\pi\\nu\\tau}$$\n", + "$$Y(\\nu) \\cdot \\left(1 + g \\cdot e^{-j 2 \\pi \\nu \\tau}\\right) = X(\\nu)$$\n", + "$$\\hat{h}(\\nu) = \\frac{Y(\\nu)}{X(\\nu)} = \\frac{1}{1 + g \\cdot e^{-j 2 \\pi \\nu \\tau}}$$\n", + "\n", + "- Déterminons le module de $\\hat{h}(\\nu)$ :\n", + "\n", + "Posons $z = g \\cdot e^{-j 2 \\pi \\nu \\tau}$, alors :\n", + "$$\\left|\\hat{h}(\\nu)\\right| = \\left|\\frac{1}{1 + z}\\right| = \\frac{1}{\\left|1 + z\\right|}$$\n", + "\n", + "$$z = g \\cdot e^{-j 2 \\pi \\nu \\tau} = g \\cdot \\cos(2 \\pi \\nu \\tau) - j \\cdot g \\cdot \\sin(2 \\pi \\nu \\tau)$$\n", + "\n", + "Donc :\n", + "$$1 + z = 1 + g \\cdot \\cos(2 \\pi \\nu \\tau) - j \\cdot g \\cdot \\sin(2 \\pi \\nu \\tau)$$\n", + "\n", + "Le module de $1 + z$ est :\n", + "$$\\left|1 + z\\right| = \\sqrt{\\left(1 + g \\cdot \\cos(2 \\pi \\nu \\tau)\\right)^2 + \\left(-g \\cdot \\sin(2 \\pi \\nu \\tau)\\right)^2}$$\n", + "\n", + "$$= \\sqrt{1 + 2g \\cdot \\cos(2 \\pi \\nu \\tau) + g^2 \\cdot \\cos^2(2 \\pi \\nu \\tau) + g^2 \\cdot \\sin^2(2 \\pi \\nu \\tau)}$$\n", + "\n", + "$$= \\sqrt{1 + 2g \\cdot \\cos(2 \\pi \\nu \\tau) + g^2}$$\n", + "\n", + "Ainsi, le module de la réponse en fréquence est :\n", + "$$\\left|\\hat{h}(\\nu)\\right| = \\frac{1}{\\sqrt{1 + 2g \\cdot \\cos(2 \\pi \\nu \\tau) + g^2}}$$\n", + "\n", + "- Déterminons la phase de $\\hat{h}(\\nu)$ :\n", + "$$arg(\\hat{h}(\\nu)) = -arg((1 + g \\cdot e^{-j 2 \\pi \\nu \\tau}))$$\n", + "\n", + "Posons $z = g \\cdot e^{-j 2 \\pi \\nu \\tau}$, alors :\n", + "\n", + "$$arg(1 + z) = \\arctan\\left(\\frac{\\Im(1 + z)}{\\Re(1 + z)}\\right)$$\n", + "\n", + "où : $\\Im(1 + z) = -g \\cdot \\sin(2 \\pi \\nu \\tau), \\quad \\Re(1 + z) = 1 + g \\cdot \\cos(2 \\pi \\nu \\tau)$\n", + "\n", + "Ainsi :\n", + "$$arg(1 + z) = \\arctan\\left(\\frac{-g \\cdot \\sin(2 \\pi \\nu \\tau)}{1 + g \\cdot \\cos(2 \\pi \\nu \\tau)}\\right)$$\n", + "\n", + "$$arg(\\hat{h}(\\nu)) = -\\arctan\\left(\\frac{-g \\cdot \\sin(2 \\pi \\nu \\tau)}{1 + g \\cdot \\cos(2 \\pi \\nu \\tau)}\\right)$$\n", + "\n", + "$$= \\arctan\\left(\\frac{g \\cdot \\sin(2 \\pi \\nu \\tau)}{1 + g \\cdot \\cos(2 \\pi \\nu \\tau)}\\right)$$\n" + ] + }, + { + "cell_type": "markdown", + "id": "f0387b61", + "metadata": {}, + "source": [ + "<p><b>Question 3.14</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "e4c8cfc9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g = 0.9; \n", + "tau = 5; \n", + "N = 1000; \n", + "nu = linspace(-0.5, 0.5, N); \n", + "\n", + "% Théorique\n", + "H_theorique = 1 ./ sqrt(1 + 2 * g * cos(2 * pi * nu * tau) + g^2);\n", + "\n", + "% Numérique\n", + "h = analyse_delay(g, tau, N);\n", + "H_num = abs(fft(h, N)); % DFT et module\n", + "H_numerique = fftshift(H_num);\n", + "\n", + "\n", + "figure;\n", + "plot(nu, H_theorique, 'r', 'LineWidth', 1.5); hold on;\n", + "plot(nu, H_numerique, 'b--', 'LineWidth', 1.5);\n", + "xlabel('$\\nu$', 'Interpreter', 'latex');\n", + "ylabel('Module $|\\hat{h}(\\nu)|$', 'Interpreter', 'latex');\n", + "legend('Théorique', 'Numérique');\n", + "title('Comparaison du module de la réponse en fréquence théorique et numérique');\n", + "grid on;\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le module de la réponse en fréquence obtenu théoriquement et numériquement sont bien superposés, nous n'observons pas de différence." + ] + }, + { + "cell_type": "markdown", + "id": "40b23fc1", + "metadata": {}, + "source": [ + "<p><b>Question 3.15</b></p>\n", + "\n", + "La fonction se trouve dans le dossier src" + ] + }, + { + "cell_type": "markdown", + "id": "cdfd9acc", + "metadata": {}, + "source": [ + "<p><b>Question 3.16</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "f4b06e0e", + "metadata": {}, + "outputs": [], + "source": [ + "[x_chords, fe_chords] = audioread(\"wav/piano_chord.wav\");\n", + "test_effet_delay = effet_delay(x_chords, 0.25, 0.9,fe_chords);\n", + "sound(test_effet_delay, fe_chords);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous entendons bien l'effet de retard : comme g est presque égal à 1, nous entendons à peine une diminution de volume entre chaque répétition de l'accord, cette répétition est par ailleurs bien distinguable car $\\tau$ est assez grand." + ] + }, + { + "cell_type": "markdown", + "id": "ffb9b4a5", + "metadata": {}, + "source": [ + "L'équation de récurrence du système est donnée par :\n", + "$$y(k) = x(k)-\\frac{g}{K}\\sum_{n=0}^{K-1}y(k-\\tau-n)$$" + ] + }, + { + "cell_type": "markdown", + "id": "471e8e16", + "metadata": {}, + "source": [ + "<p><b>Question 3.17</b></p>\n", + "\n", + "La fonction effet_delay_filtre se trouve dans le dossier src" + ] + }, + { + "cell_type": "markdown", + "id": "053552d0", + "metadata": {}, + "source": [ + "<p><b>Question 3.18</b></p>\n" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "bae865d5", + "metadata": {}, + "outputs": [], + "source": [ + "delay = 0.25;\n", + "g=0.9;\n", + "K=10;\n", + "[x,Fe]=audioread(\"wav/piano_chord.wav\");\n", + "y=effet_delay_filtre(x,delay,g,K,Fe);\n", + "sound(y, Fe);\n", + "audiowrite(\"wav/piano_delay_filtre.wav\", y, Fe);" + ] + }, + { + "cell_type": "markdown", + "id": "1f9fd366", + "metadata": {}, + "source": [ + "Avec cette nouvelle équation de récurrence, nous prenons en compte la longueur K. De plus, le coefficient d'amortissement n'est plus appliqué qu'à seulement le signal de sortie d'une période d'avant mais à la moyenne des 10 signaux de sortie.\n", + "Nous entendons donc cette fois-ci une diminution du volume du signal qui s'estompe petit à petit." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<p><b>Question 3.19</b></p>" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "K=10 ;\n", + "h=ones(1,K)/K;\n", + "[H,f]=freqz(h,1,1000);\n", + "\n", + "figure;\n", + "plot(f,abs(H));\n", + "xlabel('Fréquence (Hz)');\n", + "ylabel('Réponse en fréquence');\n", + "title(' la réponse en fréquence de l effet de retard filtré');" + ] + }, + { + "cell_type": "markdown", + "id": "d3181fb0", + "metadata": {}, + "source": [ + "D'après la figure observé, le filtre \"coupe\" bien progressivement les hautes-fréquences du signal." + ] + }, + { + "cell_type": "markdown", + "id": "3b8e1f00", + "metadata": {}, + "source": [ + "<h2>Conclusion</h2>\n", + "\n", + "L'utilisation de différentes techniques permettent d'approcher plus ou moins un son réel. Pour notre part, la synthèse additive a plutôt été concluante bien que le son synthétisé ne sonne pas naturel sans les bruits. Cependant, nous n'avons pas réussi à approcher un son réel à l'aide de la synthèse soustractive. Enfin, nous avons tester différents effets qui peuvent corriger des défauts ou rajouter un coté artistique." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "MATLAB Kernel", + "language": "matlab", + "name": "jupyter_matlab_kernel" + }, + "language_info": { + "file_extension": ".m", + "mimetype": "text/x-matlab", + "name": "matlab" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/src/Sar_jupyter.pdf b/src/Sar_jupyter.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ff2277d9744fd84a50e4a3fd5a587fa3f0083ebf GIT binary patch literal 636494 zcmY!laB<T$)HCH$ee&V$4=zI!1p|frq%1BQ8-2IToRZWceYc#%l2n(}<ouLWeV^34 z^pXq(BLg!FJ3Fr8lA_eaT&{{+M<c!aZ<`71`yT#+KjPtUMxCBT4#EoCb-#%{*${X1 zWn!?&%Z2s(jaAxZygo&3Gmn0AYLiBh+<hBQ{`>5f96u&Ehkwv-Tb}>n3*)-=v)}Kx z<#~VawBxTp&+NAL#|n#O7H>Ly?&QTC7B)Wf-?bD3ar|T{XS^=1*wgr1rNy*5_2J%j zaXqeuqUUbb*Zr{g^KV1%ZaI~LEn%te3QHXMtu?PmEY*B-R(aEX?fDUJ%dHGc*%MZ@ z1_<}<FnW|+DLhHy{k_|cU4~s66A!K{y1@5tp2UJTVjhio1;ShsyBLl<ILO4U+t_-| 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0000000..6bff89f --- /dev/null +++ b/src/audio_exo.m @@ -0,0 +1,102 @@ +[x,fe]=audioread("src/wav/single_tone_piano1.wav"); +[f,mod]=module_fft("src/wav/single_tone_piano1.wav"); +[f2,mod2]=module_fft("src/wav/single_tone_piano2.wav"); + +[fmax,idx1]=max(mod); +f1=f(idx1); +disp('f1_piano1 :'); +disp(abs(f1)); + +[fmax2,idx2]=max(mod2); +f1_2=f2(idx2); +%disp('f2_piano2 :'); +%disp(abs(f1_2)); + +t=tiledlayout(2,1); +nexttile +plot(f,mod); +legend('FFT piano1'); +xlabel('Fréquence (Hz)'); +ylabel('Amplitude'); +nexttile +plot(f2,mod2); +legend('FFT piano2'); +xlabel('Fréquence (Hz)'); +ylabel('Amplitude'); + +n=2; +fonda=220.456; +tab_fmesuree=[220.456,442.124,663.307,855.622,1107.94,1331.54,1556.29,1783]; +tab_ftheo= fonda*(1:1:8); +amplitude=[ 7287, 5565, 1088, 1414, 934, 671, 570, 114]; +%amplitude = amplitude / max(amplitude); +ftheo_piano1=n*abs(f1); +%{ +disp('ftheo_piano1 :'); +disp(ftheo_piano1); +epsfh_piano1=1200*(log2(fftshift(fft(tab_fmesuree(n)))))-log2(ftheo_piano1); +disp('epsfh_piano1 :'); +disp(abs(epsfh_piano1)); +%} + +size=length(tab_fmesuree); +duree =2;%length(f)/fe; +tmp = 0:1/fe:duree; +signal=0; +for k = 1:size + signal=signal + amplitude(k)*sin(2*pi*tab_fmesuree(k)*tmp); +end +signal = signal / max(abs(signal)); + + +%{ +n_sig=length(signal); +len_phase = round(n_sig / 4); +A = linspace(0, 0.9, 1000); +D = linspace(0.9, 0.7,3100); +S = linspace(0.7, 0.7,40000); +R = linspace(0.7, 0,44101); +envelope = [A D S R] ; +m=length(envelope); +if n_sig<m + envelope=envelope(1:n_sig); +end +if n_sig>m + signal=signal(1:m); +end +tone=signal.* envelope; + +%} + +n_sig = length(signal); +len_attack = round(n_sig * 0.0); % 5% pour l'attaque +len_decay = round(n_sig * 0.85); % 15% pour le déclin +len_sustain = round(n_sig * 0.1); % 10% pour le sustain +len_release = 0.05; + +A = linspace(0, 0.8, len_attack); % Montée rapide +D = linspace(0.8, 0.5, len_decay); % Déclin rapide +S = linspace(0.5, 0.5, len_sustain); % Faible sustain +R = linspace(0.5, 0, len_release); % Relâchement progressif + +envelope = [A, D, S, R]; + +% Ajuster la taille si nécessaire +if length(envelope) > n_sig + envelope = envelope(1:n_sig); +elseif length(envelope) < n_sig + envelope = [envelope, zeros(1, n_sig - length(envelope))]; +end +tone=signal.* envelope; + +sound(tone, fe); +%sound(x, fe); + + +function [f,mod] = module_fft(signal) + [x,fe]=audioread(signal); + y=fftshift(fft(x)); + f = linspace(-fe/2, fe/2, length(y)); + mod =abs(y); +end + diff --git a/src/effet_delay.m b/src/effet_delay.m new file mode 100644 index 0000000..8b227b4 --- /dev/null +++ b/src/effet_delay.m @@ -0,0 +1,6 @@ +function [y_delayed] = effet_delay(x,s,g,Fe) + tau = round(s * Fe); + b = 1; % Partie non récursive + a = [1, zeros(1, tau - 1), g]; % Partie récursive + y_delayed = filter(b, a, x); +end \ No newline at end of file diff --git a/src/effet_delay_filtre.m b/src/effet_delay_filtre.m new file mode 100644 index 0000000..3a2f248 --- /dev/null +++ b/src/effet_delay_filtre.m @@ -0,0 +1,14 @@ +function y = effet_delay_filtre(x,delay,g,K,Fe) +N=length(x); +t=round(delay*Fe); +y=zeros(1,N); +for k =1:N + somme = 0; + for n =0:(K-1) + i=k-t-n; + if i>0 + somme=somme+y(i); + end + end + y(k)=x(k)-(g/K)*somme; +end \ No newline at end of file diff --git a/src/effet_reverb.m b/src/effet_reverb.m new file mode 100644 index 0000000..da92b61 --- /dev/null +++ b/src/effet_reverb.m @@ -0,0 +1,3 @@ +function [y] = effet_reverb(x,h) + y = conv(x,h); +end \ No newline at end of file diff --git a/src/effet_reverb_FFT.m b/src/effet_reverb_FFT.m new file mode 100644 index 0000000..d5a3f74 --- /dev/null +++ b/src/effet_reverb_FFT.m @@ -0,0 +1,4 @@ +function [y] = effet_reverb_FFT(x,h) + NFFT=min(length(h),length(x)); + y = ifft(fft(h,NFFT).*fft(x,NFFT)); +end diff --git a/src/module_fft.m b/src/module_fft.m new file mode 100644 index 0000000..c5cdd9c --- /dev/null +++ b/src/module_fft.m @@ -0,0 +1,6 @@ +function [f, mod] = module_fft(signal) + [x, fe] = audioread(signal); + 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