Improved discrete definition of quadratic time-frequency distributions

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

doi:10.1109/TSP.2009.2031287

Improved discrete definition of quadratic time-frequency distributions

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

Research output: Contribution to journal › Article › peer-review

13 Citations (SciVal)

Abstract

Computation of a time-frequency distribution (TFD) requires a discrete version of the continuous distribution. This discrete TFD (DTFD) should be free from aliasing and conserve all the important mathematical properties of the continuous distribution. Existing DTFD definitions, however, poorly approximate this ideal. One popular definition, the generalized DTFD (GDTFD), is alias free but does not retain all the desirable properties from the continuous distribution. Another definition, the so-called alias-free GDTFD (AF-GDTFD), retains most properties yet is not always alias free. We propose a new DTFD definition, based on the GDTFD, that retains all desirable properties and is always alias free.

Original language	English
Article number	5229150
Pages (from-to)	906-911
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	58
Issue number	2
DOIs	https://doi.org/10.1109/TSP.2009.2031287
Publication status	Published - Feb 2010
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/TSP.2009.2031287

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Improved discrete definition of quadratic time-frequency distributions

Abstract

ASJC Scopus subject areas

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