A discrete time and frequency Wigner-Ville distribution: properties and implementation

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A discrete time and frequency Wigner-Ville distribution: properties and implementation

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dc.contributor.author O'Toole, J
dc.contributor.author Mesbah, M
dc.contributor.author Boashash, B
dc.date.accessioned 2012-04-23T05:26:08Z
dc.date.available 2012-04-23T05:26:08Z
dc.date.issued 2005-12
dc.identifier.citation O'Toole, J., Mesbah, M. and Boashash, B. (2005). A discrete time and frequency Wigner Ville distribution: Properties and implementation. In: , Proceedings of the 8th International Symposium on DSP and Communication Systems, DSPCS'2005. 8th International Symposium on DSP and Communication Systems, DSPCS'2005, Noosa, Queensland, Australia, (). 19-21 December 2005. en_US
dc.identifier.uri http://hdl.handle.net/10576/10818
dc.description This paper proposes an alias-free discrete time and frequency Wigner-Ville distribution for non-periodic signals. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated). en_US
dc.description.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 ltering, will be examined. An ef cient implementation of the distribution using standard real-valued fast Fourier transforms will also be presented. en_US
dc.language.iso en en_US
dc.subject Wigner distributions en_US
dc.subject anti-aliasing en_US
dc.subject continuous distribution en_US
dc.subject discrete Fourier transforms en_US
dc.subject Discrete Time-Frequency distributions en_US
dc.subject mathematical properties en_US
dc.subject quadratic time-frequency distributions en_US
dc.subject time-frequency analysis en_US
dc.subject analytic signal en_US
dc.subject MBD en_US
dc.subject Modified B distribution en_US
dc.subject Wigner-Ville Distribution en_US
dc.subject Moyal’s formula en_US
dc.subject B distribution en_US
dc.subject Modified BD en_US
dc.title A discrete time and frequency Wigner-Ville distribution: properties and implementation en_US
dc.type Article en_US

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