Contraction, smoothness, and low-pass filtering

Mohammad Ali Khojastepour; Behnaam Aazhang; Richard G. Baraniuk

Contraction, smoothness, and low-pass filtering

Mohammad Ali Khojastepour, Behnaam Aazhang, Richard G. Baraniuk

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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 language	English (US)
Title of host publication	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
State	Published - 2004
Event	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada Duration: May 17 2004 → May 21 2004

Other

Other	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing
Country/Territory	Canada
City	Montreal, Que
Period	5/17/04 → 5/21/04

ASJC Scopus subject areas

Electrical and Electronic Engineering
Signal Processing
Acoustics and Ultrasonics

Cite this

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title = "Contraction, smoothness, and low-pass filtering",

abstract = "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.",

author = "Khojastepour, {Mohammad Ali} and Behnaam Aazhang and Baraniuk, {Richard G.}",

year = "2004",

language = "English (US)",

volume = "2",

booktitle = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

note = "Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing ; Conference date: 17-05-2004 Through 21-05-2004",

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TY - GEN

T1 - Contraction, smoothness, and low-pass filtering

AU - Khojastepour, Mohammad Ali

AU - Aazhang, Behnaam

AU - Baraniuk, Richard G.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4644334100&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4644334100&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:4644334100

VL - 2

BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

T2 - Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing

Y2 - 17 May 2004 through 21 May 2004

ER -

Contraction, smoothness, and low-pass filtering

Abstract

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ASJC Scopus subject areas

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