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

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

Research output: Contribution to conferencePaper

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)
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

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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    Lang, M., Selesnick, I., Odegard, J. E., & Burrus, C. S. (1994). Constrained FIR filter design for 2-band filter banks and orthonormal wavelets. 211-214. Paper presented at Proceedings of the 1994 6th IEEE Digital Signal Processing Workshop, Yosemite, CA, USA, .