Wigner-based formulation of the chirplet transform

Richard G. Baraniuk, Douglas L. Jones

Research output: Contribution to journalArticle

Abstract

Using the Wigner distribution we derive and analyze a matrix formulation for the chirplet transform a signal analysis tool that generalizes the wavelet and short-time Fourier transforms. The formulation expresses the translations scalings and shears of the chirplet transform in terms of affine matrix transformations on the time-frequency plane. Our approach leads naturally to several new signal transforms which we derive analyze and extend.

Original languageEnglish (US)
Pages (from-to)3129-3135
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume44
Issue number12
DOIs
StatePublished - Dec 1 1996

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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