Nearly symmetric orthogonal wavelets with non-integer DC group delay

Ivan W. Selesnick, Jan E. Odegard, C. Sidney Burrus

Research output: Contribution to conferencePaper

Abstract

This paper investigates the design of Coiflet-like nearly symmetric compactly supported orthogonal wavelets. The group delay is used as the main vehicle by which near symmetry is achieved. By requiring a specified degree of flatness of the group delay at ω = 0 (equivalent to appropriate moment conditions), near symmetry is achieved. Grobner bases are used to obtain the solutions to the defining nonlinear equations. It is found that the DC group delay that maximizes the group delay flatness at ω = 0 is irrational - and for a length 10 orthogonal wavelet with three vanishing moments, the solution is presented.

Original languageEnglish (US)
Pages431-434
Number of pages4
StatePublished - 1996
EventProceedings of the 1996 7th IEEE Digital Signal Processing Workshop - Loen, Norway
Duration: Sep 1 1996Sep 4 1996

Other

OtherProceedings of the 1996 7th IEEE Digital Signal Processing Workshop
CityLoen, Norway
Period9/1/969/4/96

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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    Selesnick, I. W., Odegard, J. E., & Burrus, C. S. (1996). Nearly symmetric orthogonal wavelets with non-integer DC group delay. 431-434. Paper presented at Proceedings of the 1996 7th IEEE Digital Signal Processing Workshop, Loen, Norway, .