Pseudo affine wigner distributions: definition and kernel formulation

Paulo Gonçalvès, Richard G. Baraniuk

Research output: Contribution to journalArticle

52 Scopus citations

Abstract

In this paper, we introduce a new set of tools for time-varying spectral analysis: the pseudo affine Wigner distributions. Based on the affine Wigner distributions of J. and P. Bertrand, these new time-scale distributions support efficient online operation at the same computational cost as the continuous wavelet transform. Moreover, they take advantage of the proportional bandwidth smoothing inherent in the sliding structure of their implementation to suppress cumbersome interference components. To formalize their place within the echelon of the affine class of time-scale distributions (TSD's), we introduce and study an alternative set of generators for this class.

Original languageEnglish (US)
Pages (from-to)1505-1516
Number of pages12
JournalIEEE Transactions on Signal Processing
Volume46
Issue number6
DOIs
StatePublished - 1998

Keywords

  • Affine wigner distributions
  • Time-frequency analysis
  • Wavelets

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing

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