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   -> Volume 2, Issue 1


question concerning cascade algorithm
 
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Norman C. Corbett, University of Waterloo, Canada
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PostPosted: Wed Jan 20, 1993 4:27 pm    
Subject: question concerning cascade algorithm
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question concerning cascade algorithm

Dear Digest Readers,

I am trying to implement the "Cascade Algorith", as described in
Daubechies' "Ten Lectures on Wavelets". This algorithm is suppose
to allow for the computation of the inner-products

C^j_k=<phi(x), 2^{j/2} phi(2^j x-k) >

C^j_k=sum_l h_{k-2l} C^{j-1}_l,

where {h_k} is the associated two-scale sequence. Since phi is in
L^1 and is unimodular, we can use the numbers 2^{j/2} C^j_k to
approximate the value of phi at the dyadic rationals k/2^j
(for j large enough). However, when I use my program to compute
the C^j_k, my results to not agree with those of Daubechies. Has
anyone implemented this algorithm? I would appreciate any advice
(pseudo-code would be nice). Thanks

Norm Corbett
Dept. of Applied Mathematics
University of Waterloo

nccorbett@violet.waterloo.edu
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