Scientific and Engineering Studies, Compiled 1989. Signal Processing Studies

Abstract

The properties and behavior of the Wigner Distribution Function (WDF) are investigated both analytical and by means of a number of simple informative examples. The lack of local temporal averaging when obtaining the instantaneous correlation function, and the lack of weighting the longer delay values when transforming to the instantaneous spectrum are shown to be the causes of the deleterious interference effects that are Inherent to the WDF. The equivalence of short-term spectral estimation to the smoothed WDF offers an attractive alternative with guaranteed positive distribution values and no interference effects. The performance of a processor which estimates the WDF of a signal waveform in the presence of additive noise is investigated in terms of the output mean, bias, and variance. Dependence on filtering the input and time- weighting is allowed and included in the analysis. Numerical application to a particular example is carried out.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1989
Accession Number
ADA264208

Entities

People

  • A. H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Sensors

DTIC Thesaurus Topics

  • Amplitude Modulation
  • Computers
  • Delta Functions
  • Differential Equations
  • Discrete Fourier Transforms
  • Frequency Domain
  • Frequency Shift
  • Information Science
  • Integrals
  • Measurement
  • Phase Modulation
  • Plastic Explosives
  • Power Series
  • Probability
  • Random Variables
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Systems Analysis and Design