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   -> Volume 5, Issue 3

Answer: Wavelets with binary coefficients (WD 5.2 #2)
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ali akansu fac ee (

PostPosted: Wed Dec 04, 2002 9:51 am    
Subject: Answer: Wavelets with binary coefficients (WD 5.2 #2)
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Answer: Wavelets with binary coefficients (WD 5.2 #2)

Ref: Some information on multilplierless subband/wavelet transforms
(related to Prof. Gil Strang's announcement in WD 5.2 #2)

The following information might be helpful to remind the waveletters
some earlier work on multiplierless (power of two, etc) subband/wavelet
transforms (orthogonal or bi-orthogonal) in the literature.

1) Multiplierless PR-QMFs were first presented in SPIE Visual Comm. and
Image Processing, 1992(Boston), (A.N. Akansu, Multiplierless
Suboptimal PR-QMF Design, Proc. SPIE Visual Comm. andImage Processing,
1992, Boston, pp. 723-734.)

These filters were also mentioned in the book A.N. Akansu and R.A. Haddad,
Multiresolution Signal Decomposition: Transforms, Subbands and
Wavelets. Academic Press, 1992.

More recently, there was a US patent issued as A.N. Akansu,
Multiplierless 2-Band Perfect Reconstruction Quadrature Mirror Filter
(PR-QMF) Banks, US Patent# 5,420,891, May 30, 1995. These filters and
their extensions have been already used by some companies for
image/video compression.

2) D. LeGall and Tabatabai have designed integer coefficient, short
tap filters for image/video coding applications sometimes in late
1980's. (Akansu&Haddad book also revisits LeGall-Tabatabai
filters) Their filters fit better to the bi-orthogonal
subband/wavelet transforms.

3) On biorthogonal filter banks, I think, Prof. M. Kunt's group at
EPFL, Switzerland also reported some efficient solutions(I don't
remember exactly where it was presented).

4) Most likely, I am missing some other work reported earlier in
subband transform literature which perfectly fit under the new
wavelet terminology around.

A piece of information which I thought might be enlightening
some waveletters.

Ali N. Akansu
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