Contraction, smoothness, and low-pass filtering

Mohammad Ali Khojastepour, Behnaam Aazhang, Richard G. Baraniuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations


We introduce a generalized definition for "low-pass" filters that covers time-varying and nonlinear systems under the same umbrella. We show that the qualitative concept of signal smoothing can be made precise through the concept of contractions in probabilistic metric spaces. For illustration, we consider classical linear time-invariant low-pass filters, the nonlinear median filters, and time-varying guaranteed maximum delay schedulers employed in communication systems.

Original languageEnglish (US)
Title of host publicationICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
StatePublished - 2004
EventProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada
Duration: May 17 2004May 21 2004


OtherProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing
CityMontreal, Que

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Signal Processing
  • Acoustics and Ultrasonics


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