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Title:
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Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation |
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Author:
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Abed, M; Belouchrani, A; Cheriet, M; Boashash, B
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Abstract:
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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. |
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Description:
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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). |
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URI:
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http://dx.doi.org/10.1109/TSP.2012.2190065
http://hdl.handle.net/10576/10843
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Date:
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2012-06 |