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% toon0140 -- Illustrating Boundary Wavelets
%
% On a finite interval, one has also to make a choice about the
% boundary behavior. The two choices:
%
% 1. Periodization. The wavelets that encounter the boundary,
% simply wrap around, as if the interval were a circle.
%
% 2. Boundary-Adjustment. The wavelets located near the boundary
% are deformed versions of the wavelets at the interior.
%
% Here we display wavelets at the interior of an interval, and
% the two different behaviors the same wavelets can show at the boundary.
%
w = zeros(1,1024);
t = (0:1023) ./1024;
%
% 1. Plot Daubechies Father & Mother Wavelets
%
w(dyad2ix(4,8)) = 1;
psi48 = IWT_CDJV(w,3,3);
w(dyad2ix(4,8)) = 0;
w(9) = 1;
phi48 = IWT_CDJV(w,4,3);
w(9) = 0;
clf;
subplot(211); plot(t,psi48); title('Mother Wavelet at center {4,8}; N=3'); axis([.25 .75 -.25 .25])
subplot(212); plot(t,phi48); title('Father Wavelet at center {4,8}; N=3'); axis([.25 .75 -.25 .25])
%% 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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