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A Discrete Time and Frequency Wigner Distribution: Properities and Implementation

O'Toole, John, Mesbah, Mostefa, & Boashash, Boualem (2005) A Discrete Time and Frequency Wigner Distribution: Properities and Implementation. In International Symposium on Digital Signal Processing and Communication Systems, December 2005, Noosa Heads, Australia.

Abstract

Time-frequency distributions are used in the analysis and processing of nonstationary signals. The Wigner-Ville distribution (WVD) is a fundamental time-frequency distribution uniquely satisfying many desirable mathematical properties. The realisation of this distribution for hardware or software platforms requires a discrete version. Historically the majority of the work on deriving discrete versions of the WVD has focused on creating alias-free distributions, often resulting in a loss of some desirable properties. Here a new discrete time and frequency WVD will be presented for nonperiodic signals and will be examined both in terms of its properties and aliasing. In particular unitarity, an assumed property for optimum time-frequency detection and signal estimation, and invertibility, a useful property especially for time-frequency filtering, will be examined. An efficient implementation of the distribution using standard real-valued fast Fourier transforms will also be presented.

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ID Code: 2607
Item Type: Conference Paper
Keywords: discrete wigner distribution, time, frequency, aliasing, unitarity, efficient implementation, FFT
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > ELECTRICAL AND ELECTRONIC ENGINEERING (090600) > Signal Processing (090609)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Copyright Owner: Copyright 2005 (please consult author)
Deposited On: 21 Nov 2005
Last Modified: 09 Jun 2010 22:28

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