Nearly symmetric orthogonal wavelets with non-integer DC group delay

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationIEEE Digital Signal Processing Workshop
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

Fingerprint

Group delay
Nonlinear equations

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Selesnick, I., Odegard, J. E., & Burrus, C. S. (1996). Nearly symmetric orthogonal wavelets with non-integer DC group delay. In IEEE Digital Signal Processing Workshop (pp. 431-434)

Nearly symmetric orthogonal wavelets with non-integer DC group delay. / Selesnick, Ivan; Odegard, Jan E.; Burrus, C. Sidney.

IEEE Digital Signal Processing Workshop. 1996. p. 431-434.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selesnick, I, Odegard, JE & Burrus, CS 1996, Nearly symmetric orthogonal wavelets with non-integer DC group delay. in IEEE Digital Signal Processing Workshop. pp. 431-434, Proceedings of the 1996 7th IEEE Digital Signal Processing Workshop, Loen, Norway, 9/1/96.
Selesnick I, Odegard JE, Burrus CS. Nearly symmetric orthogonal wavelets with non-integer DC group delay. In IEEE Digital Signal Processing Workshop. 1996. p. 431-434
Selesnick, Ivan ; Odegard, Jan E. ; Burrus, C. Sidney. / Nearly symmetric orthogonal wavelets with non-integer DC group delay. IEEE Digital Signal Processing Workshop. 1996. pp. 431-434
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