The Discrete, Orthogonal Wavelet Transform, A Protective Approach.

Abstract

All integral transforms can be viewed as projections onto collections of functions in a Hilbert space. The properties of an integral transform are completely determined by the collection of functions onto which it projects. The wavelet transform projects onto a set of functions which satisfy a simple linear relationship between different levels of dilation. The properties of the wavelet transform are determined by the coefficients of this linear relationship. This thesis examines the connections between the wavelet transform properties and the linear relationship coefficients. (AN)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1995
Accession Number
ADA304330

Entities

People

  • James K. Logue

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Binomials
  • Coefficients
  • Contour Integrals
  • Convolution Integrals
  • Equations
  • Finite Element Analysis
  • Integral Transforms
  • Integrals
  • Mathematics
  • Numbers
  • Polynomials
  • Real Numbers
  • Sequences
  • Signal Processing
  • United States
  • Wavelet Transforms

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.

Technology Areas

  • Space