Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation

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Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation

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dc.contributor.author Abed, M
dc.contributor.author Belouchrani, A
dc.contributor.author Cheriet, M
dc.contributor.author Boashash, B
dc.date.accessioned 2012-06-18T07:05:55Z
dc.date.available 2012-06-18T07:05:55Z
dc.date.issued 2012-06
dc.identifier.citation M. Abed, A. Belouchrani, M. Cheriet and B. Boashash, “Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation,” IEEE Trans. Signal Process., vol. 60, no. 6, pp: 2814-2827, June 2012. en_US
dc.identifier.uri http://dx.doi.org/10.1109/TSP.2012.2190065
dc.identifier.uri http://hdl.handle.net/10576/10843
dc.description This paper presents new Compact-based kernel high-resolution TFDs which outperform other well known classical TFDs in terms of crossterms reduction while still achieving the best time-frequency resolution and then preserving high energy concentration around the components’ instantaneous frequencies. (Additional details can be found in the comprehensive book on Time-Frequency Signal Analysis and Processing (see http://www.elsevier.com/locate/isbn/0080443354). In addition, the most recent upgrade of the original software package that calculates Time-Frequency Distributions and Instantaneous Frequency estimators can be downloaded from the web site: www.time-frequency.net. This was the first software developed in the field, and it was first released publicly in 1987 at the 1st ISSPA conference held in Brisbane, Australia, and then continuously updated).
dc.description.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 multi-component 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. en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject Time-frequency analysis en_US
dc.subject compact support kernel en_US
dc.subject separable compact support kernel en_US
dc.subject polynomial compact support kernel en_US
dc.subject performance evaluation en_US
dc.subject instantaneous frequency en_US
dc.subject Quadratic TFDs en_US
dc.subject Time-frequency analysis
dc.subject compact support kernel
dc.subject separable compact support kernel
dc.subject polynomial compact support kernel
dc.subject performance evaluation
dc.subject instantaneous frequency
dc.subject quadratic TFDs
dc.subject MBD
dc.subject Modified B Distribution
dc.title Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation en_US
dc.type Article en_US

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