Affine Frames of rational Wavelets in H2(II+)

Abstract

This paper investigates fram decompositions of H2 (Pi+) as a method of constructing rational approximations to nonrational transfer functions in Li2 (Pi+). The frames of interest are generated from a single analyzing wavelet. We consider the case in which the analyzing waveiet is rational and show that by appropriate grouping of terms in a wavelet expansion, H2 (Pi+) can be decomposed as an infinite sum of rational transfer functions which are related to one another by dilation and translation. Criteria for selecting a finite number of terms from such an infinite expansion are developed using time frequency localization properties of wavelets.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA454952

Entities

People

  • P.S.Krishnaprasad
  • Y. C. Pati

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  • University of Maryland

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