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rossignol/parametrique/myson-dsp_max_fft.png | Bin 0 -> 32035 bytes rossignol/parametrique/myson-signal.png | Bin 0 -> 38951 bytes rossignol/parametrique/parametrique.m | 101 ++++++++++++++++++ 15 files changed, 158 insertions(+) create mode 100644 rossignol/parametrique/fluteircam-dsp_AR.png create mode 100644 rossignol/parametrique/fluteircam-dsp_AR_full.png create mode 100644 rossignol/parametrique/fluteircam-dsp_fft.png create mode 100644 rossignol/parametrique/fluteircam-dsp_max_AR.png create mode 100644 rossignol/parametrique/fluteircam-dsp_max_fft.png create mode 100644 rossignol/parametrique/fluteircam-signal.png create mode 100644 rossignol/parametrique/mylevinsondurbin.m create mode 100644 rossignol/parametrique/myson-amp_dsp_AR.png create mode 100644 rossignol/parametrique/myson-amp_dsp_AR_full.png create mode 100644 rossignol/parametrique/myson-amp_dsp_FFT.png create mode 100644 rossignol/parametrique/myson-amp_dsp_FFT_full.png create mode 100644 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100644 index 0000000..1c4a670 --- /dev/null +++ b/rossignol/parametrique/mylevinsondurbin.m @@ -0,0 +1,57 @@ +%%% Algorithme de Levinson-Durbin pour la d\'etermination des param\`etres AR +%%% +%%% entr\'ees : +%%% - xx : signal +%%% - pp : ordre du mod\`ele AR (choisi de mani\`ere ind\'ependante) +%%% - fe : fr\'equence d'\'echantillonnage +%%% +%%% sorties : +%%% - aa : les param\`etres AR +%%% - sigma2 : variance du bruit +%%% - ref : coefficients de r\'eflexion +%%% - ff : fr\'equences auxquelles la dsp a \'et\'e calcul\'ee +%%% - mydsp : la dsp elle-m\^eme +%%% +%%% exemple : fe=32000;f0=440;xx=cos(2*pi*f0/fe*[1:1280]+2*pi*rand(1,1));mylevinsondurbin(xx,4,fe); +%%% +%%% S. Rossignol -- 2012 + +function [aa, sigma2, ref, ff, mydsp] = mylevinsondurbin (xx, pp, fe) + +acf = xcorr(xx, pp+1, 'biased'); %% autocorr\'elation +acf(1:pp+1) = []; %% on enl\`eve la partie n\'egative +acf(1) = real(acf(1)); %% Levinson-Durbin requiert c(1)==conj(c(1)) + +ref = zeros(pp,1); +gg = -acf(2)/acf(1); +aa = [ gg ]; +sigma2 = real( ( 1 - gg*conj(gg)) * acf(1) ); %% real : enl\`eve une \'eventuelle + %% partie imaginaire r\'esiduelle +ref(1) = gg; +for tt = 2 : pp + gg = -(acf(tt+1) + aa * acf(tt:-1:2)') / sigma2; + aa = [ aa + gg*conj(aa(tt-1:-1:1)), gg ]; + sigma2 = sigma2 * ( 1 - real(gg*conj(gg)) ); + ref(tt) = gg; +end; +aa = [1, aa]; + +%%% densit\'e spectrale de puissance +interm2=-j*2*pi/fe*[1:pp]; +df=0.9765625; %%% la dsp est calcul\'ee tous les df Hz +ff=-fe/2:df:fe/2; + +interm3=interm2'*ff; +interm=1.+aa(2:pp+1)*exp(interm3); +mydsp = sigma2./(interm.*conj(interm)); + +% figure(1); +% clf; +% grid on; +% hold on; +% plot(ff,mydsp,'linewidth',2); +% 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