New time-frequency symbol classification

Author

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

Author_Institution

Dept. of Electr. & Comput. Eng., Rhode Island Univ., Kingston, RI, USA

Volume

3

fYear

1999

fDate

15-19 Mar 1999

Firstpage

1345

Abstract

We propose new time-frequency (TF) symbols as the narrowband Weyl symbol (WS) smoothed by an appropriate kernel. These new symbols preserve time and frequency shifts on a random process. Choosing specific smoothing kernels, we can obtain various new symbols (e.g. Levin symbol and Page symbol). We link a quadratic form of the signal to the new symbols and Cohen´s (1992) class of quadratic time-frequency representations, and we derive a simple kernel constraint for unitary symbols. We also propose an affine class of symbols in terms of the wideband Weyl symbol (P₀WS). These symbols preserve scale changes and time shifts. Furthermore, we generalize the smoothed versions of the WS and P₀WS to analyze random processes undergoing generalized frequency shifts or generalized time shifts

Keywords

random processes; signal classification; signal representation; smoothing methods; time-frequency analysis; Cohen´s class; Levin symbol; Page symbol; affine class; generalized frequency shifts; generalized time shifts; kernel constraint; narrowband Weyl symbol; quadratic time-frequency representations; random processes; scale changes; smoothing kernels; time-frequency symbol classification; unitary symbols; wideband Weyl symbol; Autocorrelation; Eigenvalues and eigenfunctions; Kernel; Narrowband; Random processes; Smoothing methods; TV; Time frequency analysis; Time varying systems; Wideband;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1999. Proceedings., 1999 IEEE International Conference on

Conference_Location

Phoenix, AZ

ISSN

1520-6149

Print_ISBN

0-7803-5041-3

Type

conf

DOI

10.1109/ICASSP.1999.756229

Filename

756229