📄 riskfig9.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 about 10 minutes *');
disp('* Wait till then to look at the plot *');
disp('********************************************************************');
% fig_hand3 = figure;
% set( fig_hand3, 'Name', 'Exact Risk Plots', ...
% 'units','normal','position',[0.25,0,0.75,1.05],...
% 'PaperUnits','normalized','PaperPosition',...
% [0.0,0,1.0,1.0],'PaperOrientation','landscape');
disp('*** This produces Figure 9 of the Paper ***');
%clf;orient landscape;
nvec = 2.^(6:14);
sigchoice = zeros(1,10); sigchoice(4) = 1;sigchoice(3) = 1;
sigchoice(8) = 1;
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);
[x_fft_ideal_low,x_fft_risk_low] = ...
CalcSamplesizeRisk(nvec,x_name,'Fourier',0.02);
[x_fft_ideal_high,x_fft_risk_high] = ...
CalcSamplesizeRisk(nvec,x_name,'Fourier',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,'g');
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,'g--');
plot(Size,x_symm_ideal_low,'--');
plot(Size,x_fft_risk_low,'g-.');
plot(Size,x_fft_ideal_low,'-.');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['#' num2str(b(i)) ' ' signal_name ': sigma = 0.02'];
title(titlestr);
hold off;
subplot(nplot,2,(2*(i-1)+2)),
plot(Size,x_haar_risk_high,'r');
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,'r--');
plot(Size,x_symm_ideal_high,'--');
plot(Size,x_fft_risk_high,'r-.');
plot(Size,x_fft_ideal_high,'-.');
xlabel('log2(n)');ylabel('log10(Risk)');
titlestr = ['#' num2str(b(i)) ' ' signal_name ': sigma = 0.10'];
title(titlestr);
hold off;
end
disp('***************************************************************');
disp('* Type of Thresholding: Hard with sqrt(2log(n)) *');
disp('* Threshold Scale chosen to minimize risk in each case *');
disp('***************************************************************');
ax=axes('Units','Normal','Position',[0,0,1,0.2],'Visible','off',...
'FontSize',8);
% legend('-','Haar','--','Symm8','-.','Fourier');
%% 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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