Symmetric tight frame with shifted wavelets Conference Paper
| Author: | Abdelnour, A. F. |
| Title: | Symmetric tight frame with shifted wavelets |
| Conference Title: | Wavelets XI |
| 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 {h 0, h 1, h 2, h 3}, with the requirement that h 2 and h 1 be identical within a shift by one sample, or we seek h 2(n) = h 1(n -1). This results in the wavelets Ψ 1 and Ψ 2 related as Ψ 2(t) = Ψ 1(t - 1/2). |
| Keywords: | sampling; wavelet transforms; filterbank; gröbner basis; shift invariance; tight frame; wavelets; invariance; signal filtering and prediction |
| Journal Title | Proceedings of SPIE |
| Volume: | 5914 |
| Conference Dates: | 2005 Jul 31 |
| Conference Location: | San Diego, CA |
| ISBN: | 0277-786X |
| Publisher: | SPIE |
| Date Published: | 2005-09-01 |
| Start Page: | 59140H |
| Language: | English |
| DOI: | 10.1117/12.621775 |
| PROVIDER: | scopus |
| DOI/URL: | |
| Notes: | --- - Proceedings of SPIE - The International Society for Optical Engineering - Proc SPIE Int Soc Opt Eng - "Conference code: 66385" - "Cited By (since 1996): 1" - "Export Date: 24 October 2012" - "Art. No.: 59140H" - "CODEN: PSISD" - "Sponsors: SPIE - The International Society for Optical Engineering" - 31 July 2005 through 3 August 2005 - "Source: Scopus" |
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