Optimum Low Cost Two Channel IIR Orthonormal Filter Bank,

Abstract

In this paper, we statistically optimize a well known class of IIR two channel orthonormal filter banks parameterized by a single coefficient when subband quantizers are present. The optimization procedure is extremely simple and very fast compared for example to the linear programming method used in the FIR case to achieve similar compaction (coding) gains. The special form of the filters assure the existence of a zero at pi which can be important for some wavelet applications and eliminate some of the major concerns that arise in the FIR design case. Finally, the compaction gain obtained is high and numerically very close to two (ideal case) for low pass spectra, high pass spectra and certain cases of multiband spectrum. For these cases, the use of higher order IIR filters does not increase the compaction (coding) gain.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1997
Accession Number
ADA323660

Entities

People

  • Jamal Tuqan
  • Palghat Vaidyanathan

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Computer Programming
  • Computing-Related Activities
  • Data Science
  • Electrical Engineering
  • Engineering
  • Frequency Response
  • Information Science
  • Interdisciplinary Science
  • Linear Programming
  • Mathematics
  • Optimization
  • Power Spectra
  • Spectra
  • Stationary Processes
  • Statistical Distributions
  • White Noise

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Image Processing and Computer Vision.