Group-theoretic Factorization of Linear Phase Wavelets

Dr. Christopher M. Brislawn

Computer and Computational Sciences Division
Los Alamos National Laboratory
New Mexico

Friday, April 26th, 11:00 AM, RLM 12.166

brislawn@c3.lanl.gov


Abstract

We present a group-theoretic structure for cascade-form synthesis of linear phase filter banks and regular wavelets with odd-length impulse responses. The structure is amenable for factorization and efficient implementation of known filter banks as well as optimal design of new filter banks. We illustrate by showing the factorization of the well-known Cohen-Daubechies-Feauveau 9-7 filter bank and an optimal design of a 7-tap/5-tap filter bank with regular wavelets that will appear in Part 2 of the JPEG-2000 standard.

Biography

TBA


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