Contraction, smoothness, and low-pass filtering

Author

Khojastepour, Mohammad Ali ; Aazhang, Behnaam ; Baraniuk, Richard G.

Author_Institution

Dept. of Electr. & Comput. Eng., Rice Univ., Houston, TX, USA

Volume

2

fYear

2004

fDate

17-21 May 2004

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, nonlinear median filters, and time-varying guaranteed maximum delay schedulers employed in communication systems.

Keywords

FIR filters; low-pass filters; median filters; smoothing methods; time-varying filters; FIR filter; communication systems; linear time-invariant low-pass filters; low-pass filtering; low-pass filters; nonlinear median filters; nonlinear systems; probabilistic metric space contraction; signal smoothing; smoothness; time-varying filters; time-varying guaranteed maximum delay schedulers; Delay; Extraterrestrial measurements; Filtering; Low pass filters; Nonlinear filters; Nonlinear systems; Scheduling; Signal processing; Statistics; Time varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on

ISSN

1520-6149

Print_ISBN

0-7803-8484-9

Type

conf

DOI

10.1109/ICASSP.2004.1326403

Filename

1326403