Time-frequency distributions based on compact support kernels: Properties and performance evaluation

Abed, Mansour, Belouchrani, Adel, Cheriet, Mohamed and Boashash, Boualem (2012) Time-frequency distributions based on compact support kernels: Properties and performance evaluation. IEEE Transactions on Signal Processing, 60 6: 2814-2827. doi:10.1109/TSP.2012.2190065


Author Abed, Mansour
Belouchrani, Adel
Cheriet, Mohamed
Boashash, Boualem
Title Time-frequency distributions based on compact support kernels: Properties and performance evaluation
Journal name IEEE Transactions on Signal Processing   Check publisher's open access policy
ISSN 1053-587X
1941-0476
Publication date 2012-06
Sub-type Article (original research)
DOI 10.1109/TSP.2012.2190065
Volume 60
Issue 6
Start page 2814
End page 2827
Total pages 14
Place of publication Piscataway, NJ, United States
Publisher Institute of Electrical and Electronics Engineers
Collection year 2013
Language eng
Abstract This paper presents two new time-frequency distributions (TFDs) based on kernels with compact support (KCS) namely the separable (CB) (SCB) and the polynomial CB (PCB) TFDs. The implementation of this family of TFDs follows the method developed for the Cheriet-Belouchrani (CB) TFD. The mathematical properties of these three TFDs are analyzed and their performance is compared to the best classical quadratic TFDs using several tests on multicomponent signals with linear and nonlinear frequency modulation (FM) components including the noise effects. Instead of relying solely on visual inspection of the time-frequency domain plots, comparisons include the time slices' plots and the evaluation of the Boashash-Sucic's normalized instantaneous resolution performance measure that permits to provide the optimized TFD using a specific methodology. In all presented examples, the KCS-TFDs show a significant interference rejection, with the component energy concentration around their respective instantaneous frequency laws yielding high resolution measure values.
Keyword Compact support kernel (CSK)
Instantaneous frequency
Performance evaluation
Polynomial compact support kernel
Quadratic time-frequency distributions (TFDs)
Separable compact support kernel
Time-frequency analysis
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 6165379/ Date of publication 6 March 2012.

Document type: Journal Article
Sub-type: Article (original research)
Collections: UQ Centre for Clinical Research Publications
Official 2013 Collection
 
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