Improved discrete definition of quadratic time-frequency distributions

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

Research output: Contribution to journalArticlepeer-review

13 Citations (SciVal)


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 languageEnglish
Article number5229150
Pages (from-to)906-911
Number of pages6
JournalIEEE Transactions on Signal Processing
Issue number2
Publication statusPublished - Feb 2010
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering


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