Classes of smoothed Weyl symbols

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

doi:10.1109/97.847364

Classes of smoothed Weyl symbols

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

Electrical Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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_o-Weyl symbol.

Original language	English (US)
Pages (from-to)	186-188
Number of pages	3
Journal	IEEE Signal Processing Letters
Volume	7
Issue number	7
DOIs	https://doi.org/10.1109/97.847364
State	Published - Jul 2000

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering
Applied Mathematics

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10.1109/97.847364

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@article{10ffb93d146a40819b50c0ef3c8ebd87,

title = "Classes of smoothed Weyl symbols",

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.",

author = "Iem, {Byeong Gwan} and Antonia Papandreou-Suppappola and Boudreaux-Bartels, {G. Faye}",

note = "Funding Information: Manuscript received July 1, 1999. This work was supported in part by the Office of Naval Research, Washington, DC, Grant N00014-96-1-0350. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Akbar M. Sayeed. B.-G. Iem is with the Network System Division, Samsung Electronics, Seoul, Korea. A. Papandreou-Suppappola is with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287 USA (e-mail: papandreou@asu.edu). G. F. Boudreaux-Bartels is with the Department of Electrical and Computer Engineering, University of Rhode Island, Kingston, RI 02881 USA. Publisher Item Identifier S 1070-9908(00)05875-2.",

year = "2000",

month = jul,

doi = "10.1109/97.847364",

language = "English (US)",

volume = "7",

pages = "186--188",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "7",

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T1 - Classes of smoothed Weyl symbols

AU - Iem, Byeong Gwan

AU - Papandreou-Suppappola, Antonia

AU - Boudreaux-Bartels, G. Faye

N1 - Funding Information: Manuscript received July 1, 1999. This work was supported in part by the Office of Naval Research, Washington, DC, Grant N00014-96-1-0350. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Akbar M. Sayeed. B.-G. Iem is with the Network System Division, Samsung Electronics, Seoul, Korea. A. Papandreou-Suppappola is with the Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287 USA (e-mail: papandreou@asu.edu). G. F. Boudreaux-Bartels is with the Department of Electrical and Computer Engineering, University of Rhode Island, Kingston, RI 02881 USA. Publisher Item Identifier S 1070-9908(00)05875-2.

PY - 2000/7

Y1 - 2000/7

N2 - 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.

AB - 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.

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

IS - 7

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Classes of smoothed Weyl symbols

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