The T-Class Of Time-Frequency Distributions: Time-Only Kernels With Amplitude Estimation

Yussain, Zahir M. and Boashash, Boualem (2006) The T-Class Of Time-Frequency Distributions: Time-Only Kernels With Amplitude Estimation. Journal Of The Franklin Institute-Engineering And Applied Maththematics, 343 7: 661-675. doi:10.1016/j.jfranklin.2006.03.020


Author Yussain, Zahir M.
Boashash, Boualem
Title The T-Class Of Time-Frequency Distributions: Time-Only Kernels With Amplitude Estimation
Journal name Journal Of The Franklin Institute-Engineering And Applied Maththematics   Check publisher's open access policy
ISSN 0016-0032
Publication date 2006-11
Sub-type Article (original research)
DOI 10.1016/j.jfranklin.2006.03.020
Volume 343
Issue 7
Start page 661
End page 675
Total pages 15
Place of publication Oxford, England
Publisher Pergamon-Elsevier Science Ltd.
Language eng
Subject 091302 Automation and Control Engineering
Abstract This paper presents a class of time-frequency distributions (TFDs) characterized by time-lag kernels which are functions of time only. If the parameters of the time-only kernels are properly chosen, their corresponding TFDs, the T-distributions, are more efficient than their two-dimensional counterparts in terms of cross-terms suppression while keeping a high-energy concentration (resolution) around the IF law of non-stationary signals. The proposed class is a subclass of Cohen's Class of quadratic TFDs. We have shown that separable time-lag kernels should be lag-independent (or time-only) for best resolution. In addition, non-parametric amplitude estimation is possible directly from the T-distributions in case of FM signals, a property that is not verified by other TFDs. Two examples of the T-distributions are given and their performance is compared to other TFDs with numerical examples using synthetic and real-life signals. (c) 2006 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Keyword time-frequency analysis
non-parametric amplitude estimation
multicomponent signals
resolution
cross-terms
Gaussian noise
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
UQ Centre for Clinical Research Publications
 
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