Generalization of the Choi-Williams Distribution and the Butterworth Distribution for Time-Frequency Analysis

Antonia Papandreou, G. Faye Boudreaux-Bartels

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37 Scopus citations

Abstract

We provide a generalization to the Choi-Williams exponential distribution and introduce the new Butterworth distribution. We compute design equations and curves for the optimal choices of their parameters and for the optimal value of σ of the exponential distribution. We also provide examples that demonstrate the superior performance of our method over the Choi-Williams. Our new distributions can achieve cross-term reduction and autoterm preservation simultaneously, whereas the Choi-Williams distribution suffers from an inherent tradeoff between the two.

Original languageEnglish (US)
Pages (from-to)463
Number of pages1
JournalIEEE Transactions on Signal Processing
Volume41
Issue number1
DOIs
StatePublished - Jan 1993
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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