📄 scfig16.m
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% scfig16 -- Short Course 16: Noisy Differentiation by WVD in Wavelet Domain
%
% Here the procedure of Figure 16 is displayed in the Wavelet domain.
%
% The noise in the naive inversion grows rapidly in size
% as we move to finer resolutions.
%
global Bumps %AM 10/05
global w wb ws
%
zBumps = cumsum(Bumps); %AM 10/05
x = zBumps + WhiteNoise(zBumps); %AM 10/05
z = diff([0 x]); %AM 10/05
QMF_Filter= MakeONFilter('Coiflet',3); %AM 10/05
w = FWT_PO(z, 5,QMF_Filter); %AM 10/05
ws = InvShrink(w,5,4,1); %AM 10/05
wb = FWT_PO(Bumps,5,QMF_Filter); %AM 10/05
% clf;
subplot(221); PlotWaveCoeff(wb,5,0.); title('16 (a) WT[ Object ]')
subplot(222); PlotWaveCoeff(w,5,0.); title('16 (b) WT[ Naive Recon. ]')
subplot(223); PlotWaveCoeff(ws,5,0.); title('16 (c) WT[ WVD Reconstruction ]')
%Revision History
% 10/1/05 AM Changing the name of some variables and recalculating
% some of the global variables
%% 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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