📄 toon0412.m
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% toon0412 -- Compare First-n and Best-n Reconstructions
%
% Illustate how the S8 wavelet can compress the doppler signal by
% reconstructing the signal using only some of the wavelet coefficients.
%
% It is obviously better to reconstruct via the best (that is, biggest)
% n coefficients than the first n coefficients!
%
n = 2048;
Doppler = MakeSignal('Doppler',n);
S8QMF = MakeONFilter('Symmlet',8);
wcS8 = FWT_PO(Doppler,4,S8QMF);
t = (1:n)./n;
%
subplot(221); plot(t,Doppler);
title('Doppler')
axis([ 0 1 -1 1])
%
subplot(222); PlotWaveCoeff(wcS8 ,4,0);
title('S8 Wavelet Transform[Doppler]')
%
FirstwcS8 = wcS8 .* ((1:n) <= 64);
subplot(223); PartialFirst = IWT_PO(FirstwcS8,1,S8QMF);
plot(t,PartialFirst)
title('S8 Reconstruction from First 64')
axis([ 0 1 -1 1])
%
BigwcS8 = KeepBiggest(wcS8,64);
subplot(224); PartialBest = IWT_PO(BigwcS8,4,S8QMF);
plot(t,PartialBest)
title('S8 Reconstruction from Best 64')
axis([ 0 1 -1 1])
%% Part of Wavelab Version 850% Built Tue Jan 3 13:20:43 EST 2006% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail wavelab@stat.stanford.edu
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