📄 toon0141.m
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% toon0141 -- 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;
%
% 2. Plot CDJV Boundary-Wavelets
%
w(dyad2ix(4,0)) = 1;
psi40 = IWT_CDJV(w,3,3);
w(dyad2ix(4,0)) = 0;
%
w(dyad2ix(4,1)) = 1;
psi41 = IWT_CDJV(w,3,3);
w(dyad2ix(4,1)) = 0;
%
w(1) =1;
phi40 = IWT_CDJV(w,4,3);
%
w(1:2) =[0 1];
phi41 = IWT_CDJV(w,4,3);
w(2)=0;
% clf;
subplot(221); plot(t,psi40); title('Boundary Mother Wavelet, {4,0}; N=3'); axis([0 .25 -.25 .25])
subplot(222); plot(t,psi41); title('Boundary Mother Wavelet, {4,1}; N=3'); axis([0 .25 -.25 .25])
subplot(223); plot(t,phi40); title('Boundary Father Wavelet, {4,0}; N=3'); axis([0 .25 -.25 .25])
subplot(224); plot(t,phi41); title('Boundary Father Wavelet, {4,1}; N=3'); axis([0 .25 -.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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