📄 figure9.m
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global x_use x_length x_name sigchoice fig_hand3 PlotFig
global x_fft x_haar x_symm x_coif x_daub x_noise Signals____entries
global x_tmp signal_name
disp('********************************************************************');
disp('* Hello: This is going to take 2 to 3 minutes *');
disp('* Wait till then to look at the plot *');
disp('********************************************************************');
figure(fig_hand3);
clg;orient landscape;
nvec = 2.^(6:14);
pr_length = x_length;
if (sum(sigchoice == 1) == 1),
[x_haar_ideal_low,x_haar_risk_low] = ...
CalcSamplesizeRisk(nvec,x_name,'Haar',0.02);
[x_haar_ideal_high,x_haar_risk_high] = ...
CalcSamplesizeRisk(nvec,x_name,'Haar',0.1);
[x_symm_ideal_low,x_symm_risk_low] = ...
CalcSamplesizeRisk(nvec,x_name,'Symmlet 8',0.02);
[x_symm_ideal_high,x_symm_risk_high] = ...
CalcSamplesizeRisk(nvec,x_name,'Symmlet 8',0.1);
Size = log2(nvec);
ymin = min([min(x_haar_ideal_low) min(x_haar_risk_low) ...
min(x_haar_ideal_high) min(x_haar_risk_high) ...
min(x_symm_ideal_low) min(x_symm_risk_low) ...
min(x_symm_ideal_high) min(x_symm_risk_high)]);
ymax = max([max(x_haar_ideal_low) max(x_haar_risk_low) ...
max(x_haar_ideal_high) max(x_haar_risk_high) ...
max(x_symm_ideal_low) max(x_symm_risk_low) ...
max(x_symm_ideal_high) max(x_symm_risk_high)]);
delta = 0.05*(ymax-ymin);
figure(fig_hand3);
subplot(211),
plot(Size,x_haar_risk_low);
hold on;v = axis;axis([min(Size) max(Size) (ymin-delta) (ymax+delta)]);
plot(Size,x_haar_ideal_low);
plot(Size,x_symm_risk_low,'--');
plot(Size,x_symm_ideal_low,'--');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['Signal ' x_name ': sigma = 0.02'];
legend('-','Haar','--','Symm8','-','Haar Ideal','--','Symm8 Ideal');
title(titlestr);
hold off;
subplot(212),
plot(Size,x_haar_risk_high);
hold on;v = axis;axis([min(Size) max(Size) (ymin-delta) (ymax+delta)]);
plot(Size,x_haar_ideal_high);
plot(Size,x_symm_risk_high,'--');
plot(Size,x_symm_ideal_high,'--');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['Signal ' x_name ': sigma = 0.1'];
legend('-','Haar','--','Symm8','-','Haar Ideal','--','Symm8 Ideal');
title(titlestr);
hold off;
else
pr_name = x_name;
figure(fig_hand3);clg;orient landscape;
nplot = sum(sigchoice);
b = 1:10; b = b(sigchoice == 1);
for i = 1:nplot,
x_name = deblank(Signals____entries(b(i),:));
figure(fig_hand3);
[x_haar_ideal_low,x_haar_risk_low] = ...
CalcSamplesizeRisk(nvec,x_name,'Haar',0.02);
[x_haar_ideal_high,x_haar_risk_high] = ...
CalcSamplesizeRisk(nvec,x_name,'Haar',0.1);
[x_symm_ideal_low,x_symm_risk_low] = ...
CalcSamplesizeRisk(nvec,x_name,'Symmlet 8',0.02);
[x_symm_ideal_high,x_symm_risk_high] = ...
CalcSamplesizeRisk(nvec,x_name,'Symmlet 8',0.1);
Size = log2(nvec);
ymin = min([min(x_haar_ideal_low) min(x_haar_risk_low) ...
min(x_haar_ideal_high) min(x_haar_risk_high) ...
min(x_symm_ideal_low) min(x_symm_risk_low) ...
min(x_symm_ideal_high) min(x_symm_risk_high)]);
ymax = max([max(x_haar_ideal_low) max(x_haar_risk_low) ...
max(x_haar_ideal_high) max(x_haar_risk_high) ...
max(x_symm_ideal_low) max(x_symm_risk_low) ...
max(x_symm_ideal_high) max(x_symm_risk_high)]);
delta = 0.05*(ymax-ymin);
figure(fig_hand3);
subplot(nplot,2,(2*(i-1)+1)),
plot(Size,x_haar_risk_low);
hold on;v = axis;axis([min(Size) max(Size) (ymin-delta) (ymax+delta)]);
plot(Size,x_haar_ideal_low);
plot(Size,x_symm_risk_low,'--');
plot(Size,x_symm_ideal_low,'--');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['Signal ' x_name ': sigma = 0.02'];
legend('-','Haar','--','Symm8','-','Haar Ideal','--','Symm8 Ideal');
title(titlestr);
hold off;
subplot(nplot,2,(2*(i-1)+2)),
plot(Size,x_haar_risk_high);
hold on;v = axis;axis([min(Size) max(Size) (ymin-delta) (ymax+delta)]);
plot(Size,x_haar_ideal_high);
plot(Size,x_symm_risk_high,'--');
plot(Size,x_symm_ideal_high,'--');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['Signal ' x_name ': sigma = 0.10'];
legend('-','Haar','--','Symm8','-','Haar Ideal','--','Symm8 Ideal');
title(titlestr);
hold off;
end
end
disp('***************************************************************');
disp('* Type of Thresholding: Hard with sqrt(2log(n)) *');
disp('* Threshold Scale chosen to minimize risk in each case *');
disp('***************************************************************');
pr_length = x_length;
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:42 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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