A new discrete analytic signal for reducing aliasing in the discrete Wigner-Ville distribution

John M. O'Toole, Mostefa Mesbah, Boualem Boashash

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

It is not possible to generate an alias-free discrete Wigner-Ville distribution (DWVD) from a discrete analytic signal. This is because the discrete analytic signal must satisfy two mutually exclusive constraints. We present, in this paper, a new discrete analytic signal that improves on the commonly used discrete analytic signal's approximation of these two constraints. Our analysis shows that - relative to the commonly used signal - the proposed signal reduces aliasing in the DWVD by approximately 50%. Furthermore, the proposed signal has a simple implementation and satisfies two important properties, namely, that its real component is equal to the original real signal and that its real and imaginary components are orthogonal.

Original languageEnglish
Pages (from-to)5427-5434
Number of pages8
JournalIEEE Transactions on Signal Processing
Volume56
Issue number11
DOIs
Publication statusPublished - 2008

Keywords

  • Analytic signal
  • Antialiasing
  • Discrete Hilbert transforms
  • Discrete Wigner-Ville distribution (DWVD)
  • Time-frequency analysis

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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