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?? simu_tfarwin.m

?? 用于模擬時(shí)變非平穩(wěn)的ARMA過(guò)程
?? M
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function simu_tfarwin(MAR, LAR, N, re_im, MM)% function simu_tfarwin(MAR, LAR, N, re_im, MM)%   This file is part of the TFPM toolbox v1.0 (c)%   michael.jachan@tuwien.ac.at and underlies the GPL.% % Estimates <re_im>-valued TFAR(<MAR>, <LAR>; <N>; 1/2) models to find% optimum window lengthes. <MM> realizations are done to estimate the% MSE. Uses the estimator tfar_est_tfywu.m. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%if(0)% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%clear;tfpm;N    = 128;MAR  =   3;LAR  =   2;re_im= 'i';MM   = 3;xx= 1;yy= 1;mm= 1;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%end;% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%MMA  =   0;LMA  = LAR;mo_no= 'n';N0= N;N= 64;tfpm_file_gen;%-------------N= N0;%param_plot('exp', N, 0, 'r', 'g', Aml, 1, 1, 0, 3, 0, 0, Bml, 0, 0, 0, 0, 0, 0)B0l= Bml;beta = 1/2;[TDIRnm, TDIRn0]= param_tdir(param_expand(Aml, N));lambda0= max(max(abs(TDIRnm)));exp= 'tfarwin';resultname= sprintf('data/%04d/%s%d%d%s.mat', N, exp, MAR, LAR, re_im)% Window lengthes (wing)XX= 0:2:6*MAR% Window lengthes (winh)YY= 0:2:6*LARxxmax= length(XX);yymax= length(YY);MSE= zeros(xxmax, yymax);HYP= zeros(xxmax, yymax, MM);%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%for xx= 1:xxmax%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   for yy= 1:yymax%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      AML_ywu= zeros(2*LAR+1, MAR+1, MM);      [Psi, Mask, v2]= tf_multiwin(N, XX(xx), YY(yy), 0, 2, 1);%      figure(1);mesh(abs(Psi));drawnow%      figure(2);mesh(abs(tfarma_ambi(Aml, Bml, N, 1/2)));drawnow            psi= Psi(N/2-3*LAR+1:N/2+3*LAR+1, N/2-MAR+1:N/2+MAR+1);%      tf_show(Psi)%      text(10, 10, sprintf('%d', prod(size(v2))))%      drawnow%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      for mm= 1:MM%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%         [N MAR LAR xx length(XX) yy length(YY) mm]         e= randn(N, 1);         y= tfarma_gen(e, Aml, Bml, beta);         qyy= corr_est(y, y, MAR, 1/2);         ayy= fft(qyy);         ayy= [ayy(N/2+1:N, :); ayy(1:N/2, :)];         ayy= ayy(N/2+1-3*LAR:N/2+1+3*LAR, :);%         figure(3);mesh(abs(ayy));drawnow%         figure(4);mesh(abs(ayy.*psi));drawnow         [AMLu, B0Lu]= tfar_est_tfywu(ayy.*conj(psi), N);         AML_ywu(:, :, mm)= [AMLu(:, 2:end, MAR) B0Lu(:, :, MAR)];	 [TDIRnm, TDIRn0]= param_tdir(param_expand(AMLu(:, :, MAR), N));         HYP(xx, yy, mm)= max(max(abs(TDIRnm)));%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      end;%for mm= 1:MM%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%      [Mywu, Vywu, Bywu]= param_mse(AML_ywu, [Aml(:, 2:end) B0l]);      MSE(xx, yy)= sum(sum(Mywu))/sum(sum(abs([Aml(:, 2:end) B0l]).^2));%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   end;%for yy= 1:winhmax%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%end;%for xx= 1:wingmax%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%figure(5);imagesc(MSE(:, :));colorbar %figure(6);mesh(MSE(:, :));colorbar save(resultname, 'MSE', 'XX', 'YY', 'MM', 'lambda0', 'HYP')%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%if(0)% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%clear;tfpm;for n= 6:9   simu_tfarwin(3, 2, 2^n, 'i', 20);end;clear;tfpm;for mar= 1:2   simu_tfarwin(mar, 2, 256, 'i', 20);end;clear;tfpm;for mar= 4:6   simu_tfarwin(mar, 2, 256, 'i', 20);end;clear;tfpm;for lar= 0:1   simu_tfarwin(3, lar, 256, 'i', 20);end;clear;tfpm;for lar= 3:4   simu_tfarwin(3, lar, 256, 'i', 20);end;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%end;% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%if(0)% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%clear;tfpm;exp= 'tfarwin';re_im= 'i';smooth= [.025 .025 .025;	 .025 .800 .025; 	 .025 .025 .025];%NULL SEARCH!!mar= 3;lar= 2;for n= 6:9   resultname= sprintf('data/%04d/%s%d%d%s.mat', 2^n, exp, mar, lar, re_im);   load(resultname)   HYP0= sum(HYP>lambda0, 3);   HYP1= sum(HYP>      1, 3);   hyp0= conv2(HYP0, smooth);   hyp1= conv2(HYP1, smooth);   mse = conv2(MSE , smooth);   hyp0= hyp0(2:end-1, 2:end-1);   hyp1= hyp1(2:end-1, 2:end-1);   mse = mse (2:end-1, 2:end-1);      [wing, winh]= find(mse==min(min(mse)));   [2^n mar XX(wing) lar YY(winh) lambda0 MSE(1, 1) MSE(wing, winh) HYP0(1, 1) HYP0(wing, winh) HYP1(1, 1) HYP1(wing, winh)]%   [mar lar XX(wing) YY(winh) XX(end) YY(end) min(min(MSE))]   MLopt(mar, lar, 1)= XX(wing);   MLopt(mar, lar, 2)= YY(winh);   figure(n);clf;   subplot(3, 2, 1);mesh(mse);   subplot(3, 2, 2);imagesc(mse);colorbar   subplot(3, 2, 3);mesh(hyp0)   subplot(3, 2, 4);imagesc(hyp0);colorbar   subplot(3, 2, 5);mesh(hyp1)   subplot(3, 2, 6);imagesc(hyp1);colorbarend;n= 8;lar= 2;for mar= 1:6   resultname= sprintf('data/%04d/%s%d%d%s.mat', 2^n, exp, mar, lar, re_im);   load(resultname)   HYP0= sum(HYP>lambda0, 3);   HYP1= sum(HYP>      1, 3);   hyp0= conv2(HYP0, smooth);   hyp1= conv2(HYP1, smooth);   mse = conv2(MSE , smooth);   hyp0= hyp0(2:end-1, 2:end-1);   hyp1= hyp1(2:end-1, 2:end-1);   mse = mse (2:end-1, 2:end-1);      [wing, winh]= find(mse==min(min(mse)));   [2^n mar XX(wing) lar YY(winh) lambda0 MSE(1, 1) MSE(wing, winh) HYP0(1, 1) HYP0(wing, winh) HYP1(1, 1) HYP1(wing, winh)]%   [mar lar XX(wing) YY(winh) XX(end) YY(end) min(min(MSE))]   MLopt(mar, lar, 1)= XX(wing);   MLopt(mar, lar, 2)= YY(winh);   figure(mar);clf;   subplot(3, 2, 1);mesh(mse);   subplot(3, 2, 2);imagesc(mse);colorbar   subplot(3, 2, 3);mesh(hyp0)   subplot(3, 2, 4);imagesc(hyp0);colorbar   subplot(3, 2, 5);mesh(hyp1)   subplot(3, 2, 6);imagesc(hyp1);colorbarendn= 8;mar= 3;for lar= 1:4   resultname= sprintf('data/%04d/%s%d%d%s.mat', 2^n, exp, mar, lar, re_im);   load(resultname)   HYP0= sum(HYP>lambda0, 3);   HYP1= sum(HYP>      1, 3);   hyp0= conv2(HYP0, smooth);   hyp1= conv2(HYP1, smooth);   mse = conv2(MSE , smooth);   hyp0= hyp0(2:end-1, 2:end-1);   hyp1= hyp1(2:end-1, 2:end-1);   mse = mse (2:end-1, 2:end-1);      [wing, winh]= find(mse==min(min(mse)));   [2^n mar XX(wing) lar YY(winh) lambda0 MSE(1, 1) MSE(wing, winh) HYP0(1, 1) HYP0(wing, winh) HYP1(1, 1) HYP1(wing, winh)]%   [mar lar XX(wing) YY(winh) XX(end) YY(end) min(min(MSE))]   MLopt(mar, lar, 1)= XX(wing);   MLopt(mar, lar, 2)= YY(winh);   figure(lar);clf;   subplot(3, 2, 1);mesh(mse);   subplot(3, 2, 2);imagesc(mse);colorbar   subplot(3, 2, 3);mesh(hyp0)   subplot(3, 2, 4);imagesc(hyp0);colorbar   subplot(3, 2, 5);mesh(hyp1)   subplot(3, 2, 6);imagesc(hyp1);colorbarend%%FULL SEARCH (NOT DONE!!)for n= 6:8   MLopt= zeros(MARmax, LARmax, 2);   for mar= 1:MARmax      for lar= 1:LARmax         resultname= sprintf('data/%04d/%s%d%d%s.mat', 2^n, exp, mar, lar, re_im)	 load(resultname)	 [wing, winh]= find(MSE==min(min(MSE)));	 [mar lar XX(wing) YY(winh) XX(end) YY(end) min(min(MSE))]	 MLopt(mar, lar, 1)= XX(wing);	 MLopt(mar, lar, 2)= YY(winh);%         figure(1);clf;contour(MSE);%	 colormap(gray);%	 colorbar%         set(gca, 'XTick', 1:length(YY))%         set(gca, 'XTicklabel', YY)%         set(gca, 'YTick', 1:length(XX))%         set(gca, 'YTicklabel', XX)%	 text(wing, winh, '*') %	 text(mar, lar, '+';)         figure(1);clf;mesh(MSE);	 colormap(flipud(gray));	 colorbar         figure(2);clf;imagesc(MSE);	 colormap(flipud(gray));	 colorbar         set(gca, 'XTick', 1:length(YY))         set(gca, 'XTicklabel', YY)         set(gca, 'YTick', 1:length(XX))         set(gca, 'YTicklabel', XX)	 text(winh, wing, '*') 	 text(lar, mar, '+') 	 %         figure(3);mesh(MSE);colorbar         drawnow	 title(sprintf('%d, %d, %d', mar, lar, 2^n))	 pause      end;   end;   figure(n);clf   subplot(2, 1, 1);   plot(MLopt(:, :, 1))   legend('1', '2', '3')   subplot(2, 1, 2);   plot(MLopt(:, :, 2)')   legend('1', '2', '3', '4', '5')end;%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%end;% TEST TEST TEST TEST TEST TEST TEST TEST TEST TEST%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

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