Some Properties of the Perturbed Haar Wavelets

Abstract

One of the authors has studied the properties of a family of Riesz bases obtained by perturbing the Haar function using B-splines. Although these bases cannot be obtained by multiresolution analyses, they have other interesting properties. The present paper discusses how a discrete signal can be studied by considering a suitable function so that the existing theory for functions defined over a continuous domain can be applied.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2001
Accession Number
ADP013747

Entities

People

  • A. L. Gonzalez
  • R. A. Zalik

Organizations

  • National University of Mar del Plata

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Complex Numbers
  • Computations
  • Identities
  • Inequalities
  • Infinite Series
  • Integrals
  • Intervals
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Real Numbers
  • Real Variables
  • Sequences
  • Technical Information Centers

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra