Classes of smoothed Weyl symbols

Author

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

Author_Institution

Network Syst. Div., Samsung Electron., Seoul, South Korea

Volume

7

Issue

7

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

186

Lastpage

188

Abstract

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 P/sub 0/-Weyl symbol.

Keywords

covariance analysis; linear systems; random processes; signal representation; smoothing methods; time-frequency analysis; time-varying channels; affine-smoothed versions; frequency shift covariant symbols; kernel constraints; linear time-varying systems; narrowband Weyl symbol; nonstationary random processes; quadratic form; random process; smoothed Weyl symbols; time frequency symbols; time shift covariant symbols; unitarity property; wideband P/sub 0/-Weyl symbol; Autocorrelation; Kernel; Narrowband; Random processes; Smoothing methods; Time frequency analysis; Time varying systems; Transfer functions; Wideband;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/97.847364

Filename

847364