Gramian Analysis of Affine Bases and Affine Frames.

Abstract

Shift invariance fiberization techniques are applied for the study of the synthesis and analysis operators of affine (wavelet) systems. In this approach, one has first to circumvent the fact that affine systems are not shift invariant. The results obtained include characterizations of the Bessel property, the Riesz basis property and the frame property of such sets in terms of the behaviour of simpler operators. Various estimates of the lower and upper frame (Riesz) bounds are included, too.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1995
Accession Number
ADA306275

Entities

People

  • Amos Ron
  • Zuowei Shen

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Contracts
  • Generators
  • Intellectual Property
  • Invariance
  • Mathematics
  • Military Research
  • Notation
  • Sequences
  • Singapore
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.