Time-Frequency Distributions Based on Compact Support Kernels: Properties and Performance Evaluation
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.
- Technology Innovation and Engineering Education Unit [43 items ]
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An Improved Design of High-Resolution Quadratic Time-Frequency Distributions for the Analysis of Nonstationary Multicomponent Signals Using Directional Compact Kernels Boashash, B.; Ouelha, Samir ( Institute of Electrical and Electronics Engineers Inc. , 2017 , Article)This paper presents a new advanced methodology for designing high resolution time-frequency distributions (TFDs) of multicomponent nonstationary signals that can be approximated using piece-wise linear frequency modulated ...
Estimating the number of components of a multicomponent nonstationary signal using the short-term time-frequency Rényi entropy Sucic, Victor; Saulig, Nicoletta; Boashash, Boualem ( Springer , 2011 , Article)The time-frequency Rényi entropy provides a measure of complexity of a nonstationary multicomponent signal in the time-frequency plane. When the complexity of a signal corresponds to the number of its components, then this ...
Improved characterization of HRV signals based on instantaneous frequency features estimated from quadratic time-frequency distributions with data-adapted kernels Dong S.; Azemi G.; Boashash B. ( Elsevier Ltd , 2014 , Article)The analysis of heart rate variability (HRV) provides a non-invasive tool for assessing the autonomic regulation of cardiovascular system. Quadratic time-frequency distributions (TFDs) have been used to account for the ...