Hybrid linear/bilinear time-scale analysis

Martin Pasquier, Paulo Gonçalvès, Richard Baraniuk

Research output: Contribution to journalArticlepeer-review


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 timescale 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)287
Number of pages1
JournalIEEE Transactions on Signal Processing
Issue number1
StatePublished - 1997

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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