Classes of smoothed Weyl symbols

Authors

Byeong Gwan Iem, Samsung Electronics Co. Ltd.
Antonia Papandreou-Suppappola, Arizona State University
G. Faye Boudreaux-Bartels, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

7-1-2000

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 Po-Weyl symbol.

Publication Title, e.g., Journal

IEEE Signal Processing Letters

Volume

7

Issue

7

Citation/Publisher Attribution

Iem, Byeong G., Antonia Papandreou-Suppappola, and G. F. Boudreaux-Bartels. "Classes of smoothed Weyl symbols." IEEE Signal Processing Letters 7, 7 (2000): 186-188. doi: 10.1109/97.847364.