Hybrid linear/bilinear time-scale analysis

Martin Pasquier, Paulo Gonçalvès, Richard Baraniuk

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We introduce a new method for the time-scale analysis of nonstationary signals. Our work leverages the success of the time-frequency distribution series/cross-term deleted representations into the time-scale domain to match wideband signals that are better modeled in terms of time shifts and scale changes than in terms of time and frequency shifts. Using a wavelet decomposition and the Bertrand time-scale distribution, we locally balance linearity and bilinearity in order to provide good resolution while suppressing troublesome interference components. The theory of frames provides a unifying perspective for cross-term deleted representations in general.

Original languageEnglish (US)
Pages (from-to)254-259
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume47
Issue number1
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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