Comparison of Multiresolution Techniques for Digital Signal Processing

Abstract

A comprehensive study of multiresolution techniques is conducted. Background material in functional analysis and Quadrature Mirror Filter (QMF) banks is presented. The development of Mallat's algorithm for multiresolution decomposition and reconstruction is outlined and demonstrated to be equivalent to QMF banks. The Laplacian pyramid and the a trous algorithm are described and demonstrated General multiresolution structures are constructed from cascades of QMF and pseudo-QMF banks and are demonstrated for applications in signal decomposition and reconstruction and for signal detection and identification

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1993
Accession Number
ADA265364

Entities

People

  • Neil A. Hamlett

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Programs
  • Detection
  • Difference Equations
  • Digital Signal Processing
  • Engineering
  • Filters
  • Functional Analysis
  • Hilbert Space
  • Information Theory
  • Integrals
  • Real Numbers
  • Signal Processing
  • Two Dimensional
  • Vector Spaces

Fields of Study

  • Engineering

Readers

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