Classes of smoothed Weyl symbols

Byeong Gwan Iem, Antonia Papandreou-Suppappola, G. Faye Boudreaux-Bartels

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We propose a new class of time frequency (TF) symbols covariant to time shifts and frequency shifts on a random process. The new TF symbols are useful for analyzing linear time-varying systems or nonstationary random processes, and they are defined as TF-smoothed versions of the narrowband Weyl symbol. We derive kernel constraints for the new TF symbols to satisfy the unitarity property and the quadratic form. We also propose a new class of TF symbols covariant to time shifts and scale changes on a random process. These new TF symbols can be interpreted as affine-smoothed versions of the narrowband Weyl symbol or of the wideband Po-Weyl symbol.

Original languageEnglish (US)
Pages (from-to)186-188
Number of pages3
JournalIEEE Signal Processing Letters
Issue number7
StatePublished - Jul 2000

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering
  • Applied Mathematics


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