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17 September 2005 Symmetric tight frame with shifted wavelets
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Proceedings Volume 5914, Wavelets XI; 59140H (2005) https://doi.org/10.1117/12.621775
Event: Optics and Photonics 2005, 2005, San Diego, California, United States
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).
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
A. Farras Abdelnour "Symmetric tight frame with shifted wavelets", Proc. SPIE 5914, Wavelets XI, 59140H (17 September 2005); https://doi.org/10.1117/12.621775
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