Time-Frequency Localization via the Weyl Correspondence

Abstract

A technique of producing signals whose energy is concentrated in a given region of the time-frequency plane is examined. The degree to which a particular signal is concentrated is measured by integrating the Wigner distribution over the given region. This procedure was put forward by Flandrin, and has been used for time-varying filtering in the recent work of Hlawatsch, Kozek, and Krattenthaler. In this paper, the associated operator is studied. Estimates for the eigenvalue decay and the smoothness and decay of the eigenfunctions are established. Signals, Wigner, eigenvalue.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1992
Accession Number
ADA256248

Entities

People

  • Jayakumar Ramanathan
  • Pankaj Topiwala

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Contracts
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Fourier Analysis
  • Frequency
  • Frequency Domain
  • Frequency Shift
  • Harmonic Analysis
  • Integral Equations
  • Mathematical Analysis
  • Noise
  • Polynomials
  • Sequences
  • Theorems
  • Time Domain
  • White Noise

Fields of Study

  • Engineering

Readers

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