Quantized Frame Decompositions

Abstract

In this paper, we consider a certain type of decomposition of vectors in frames, in which the coefficients are already quantized and thus are ready for coding. This decomposition is a generalization for vectors of the usual binary expansion of real numbers, and the algorithm for obtaining it can be seen as a quantized version of the matching pursuits algorithm. We show that, in several cases, applying this algorithm is better than first finding the frame coefficients and then quantizing them.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011982

Entities

People

  • D. A. Fonini Jr.
  • E. A. Da Silva
  • M. Craizer

Organizations

  • Federal University of Rio de Janeiro

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Decomposition
  • Dictionaries
  • Distortion
  • Numbers
  • Real Numbers
  • Sequences
  • Technical Information Centers
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Linear Algebra