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Proceedings Paper

Symmetric tight frame with shifted wavelets
Author(s): A. Farras Abdelnour
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Paper Abstract

As is well known, wavelet filterbanks in general do not allow for shift invariance due to the downsampling operation. In this paper we discuss the design of a tight frame symmetric filterbank {h0, h1, h2, h3}, with the requirement that h2 and h1 be identical within a shift by one sample, or we seek h2 (n) = h1(n-1). This results in the wavelets ψ1 and ψ2 related as ψ2(t) = ψ1(t - 1/2).

Paper Details

Date Published: 17 September 2005
PDF: 8 pages
Proc. SPIE 5914, Wavelets XI, 59140H (17 September 2005); doi: 10.1117/12.621775
Show Author Affiliations
A. Farras Abdelnour, Memorial Sloan-Kettering Cancer Ctr. (United States)

Published in SPIE Proceedings Vol. 5914:
Wavelets XI
Manos Papadakis; Andrew F. Laine; Michael A. Unser, Editor(s)

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