Constrained FIR filter design for 2-band filter banks and orthonormal wavelets

M. Lang, Ivan Selesnick, J. E. Odegard, C. S. Burrus

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

Abstract

2-band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The filter design problem is formulated and solved (a) as a constrained L optimization problem and (b) as a constrained L2 optimization problem which allows arbitrary compromises between an L2 and an L approach with both of them as special cases. Additional flatness constraints can also be easily included. The L2 and the L design are based on the Kuhn-Tucker (KT) conditions and the alternation theorem, respectively. Therefore, optimality of the solution is guaranteed. The method (a) is a simpler alternative to a known method. The method (b) solves a more general problem than the approaches known in the literature including all of them as special cases.

Original languageEnglish (US)
Title of host publicationIEEE Digital Signal Processing Workshop
Editors Anon
PublisherIEEE
Pages211-214
Number of pages4
StatePublished - 1994
EventProceedings of the 1994 6th IEEE Digital Signal Processing Workshop - Yosemite, CA, USA
Duration: Oct 2 1994Oct 5 1994

Other

OtherProceedings of the 1994 6th IEEE Digital Signal Processing Workshop
CityYosemite, CA, USA
Period10/2/9410/5/94

Fingerprint

Filter banks
FIR filters
Multiresolution analysis
Constrained optimization

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Lang, M., Selesnick, I., Odegard, J. E., & Burrus, C. S. (1994). Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. In Anon (Ed.), IEEE Digital Signal Processing Workshop (pp. 211-214). IEEE.

Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. / Lang, M.; Selesnick, Ivan; Odegard, J. E.; Burrus, C. S.

IEEE Digital Signal Processing Workshop. ed. / Anon. IEEE, 1994. p. 211-214.

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

Lang, M, Selesnick, I, Odegard, JE & Burrus, CS 1994, Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. in Anon (ed.), IEEE Digital Signal Processing Workshop. IEEE, pp. 211-214, Proceedings of the 1994 6th IEEE Digital Signal Processing Workshop, Yosemite, CA, USA, 10/2/94.
Lang M, Selesnick I, Odegard JE, Burrus CS. Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. In Anon, editor, IEEE Digital Signal Processing Workshop. IEEE. 1994. p. 211-214
Lang, M. ; Selesnick, Ivan ; Odegard, J. E. ; Burrus, C. S. / Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. IEEE Digital Signal Processing Workshop. editor / Anon. IEEE, 1994. pp. 211-214
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