📄 riskfig3.m
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global x_use x_length x_name sigchoice fig_hand2 PlotFig
global x_fft x_haar x_symm x_coif x_daub x_noise
global x_tmp signal_name
% fig_hand2 = figure;
% set( fig_hand2, 'Name', 'Power Remaining',...
% 'units','normal','position',[0.25,0,0.75,1.05],...
% 'PaperUnits','normalized','PaperPosition',...
% [0.0,0.1,1.0,0.85],'PaperOrientation','landscape');
sigchoice = zeros(1,10);sigchoice(1) = 1;
signal_name = 'Step'; x_name = 'Step';
nvec = 4.^(3:6);
disp('**** This produces Fig. 3 of paper ****');
for i = 1:length(nvec)
x_length = nvec(i);
n = x_length;
n = 2^fix(log2(n)); % Generates dyadic length signal
t = (1:n) ./n;
x_tmp = 0.2 + 0.6*(t > 1/3 & t <= 0.75);
x_fft = fft(x_tmp)/(sqrt(x_length));
[x_fft_risk_low,x_fft_risk_high,x_av_low,x_av_high,x_fft_asb] = ...
CalcProjRisk(x_fft,nvec(i));
x_haar = FWT_PO(x_tmp,0,MakeONFilter('Haar'));
[x_haar_risk_low,x_haar_risk_high,x_av_low,x_av_high,x_haar_asb] = ...
CalcProjRisk(x_haar,nvec(i));
x_symm = FWT_PO(x_tmp,0,MakeONFilter('Symmlet',8));
[x_symm_risk_low,x_symm_risk_high,x_av_low,x_av_high,x_symm_asb] = ...
CalcProjRisk(x_symm,nvec(i));
ymin = min([min(x_fft_risk_low) min(x_fft_risk_high) ...
min(x_av_low) min(x_av_high) ...
min(x_haar_risk_low) min(x_haar_risk_high) ...
min(x_symm_risk_low) min(x_symm_risk_high)]);
ymax = max([max(x_fft_risk_low) max(x_fft_risk_high) ...
max(x_av_low) max(x_av_high) ...
max(x_haar_risk_low) max(x_haar_risk_high) ...
max(x_symm_risk_low) max(x_symm_risk_high)]);
%figure(fig_hand2);
lognocoeff = log2(1:nvec(i));
subplot(2,2,i),plot(lognocoeff,x_haar_risk_low,'g');hold on;
v = axis;axis([0 log2(max(nvec)) -8 2]);
plot(lognocoeff,x_haar_risk_high,'r');
plot(lognocoeff,x_haar_asb);
plot(lognocoeff,x_symm_risk_low,'g--');
plot(lognocoeff,x_symm_risk_high,'r--');
plot(lognocoeff,x_symm_asb,'--');
plot(lognocoeff,x_fft_risk_low,'g-.');
plot(lognocoeff,x_fft_risk_high,'r-.');
plot(lognocoeff,x_fft_asb,'-.');
plot(lognocoeff,x_av_low,'g:');
plot(lognocoeff,x_av_high,'r:');
hold off;
xlabel('log2(No. of terms in projection)');
ylabel('log10(Ro)');
titlestr = ['# 1' ' ' signal_name ': n = ' num2str(nvec(i))];
title(titlestr);
end
ax=axes('Units','Normal','Position',[0,0,1.0,0.2],'Visible','off',...
'FontSize',8);
% legend(':','AV','-','Haar','--','Symmlet 8','-.','Fourier',-1);
%% 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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