High-concentration time–frequency analysis for multi-component nonstationary signals based on combined multi-window Gabor transform
ISSN: 0264-4401
Article publication date: 24 September 2021
Issue publication date: 24 March 2022
Abstract
Purpose
This study aims to reveal the essential characteristics of nonstationary signals and explore the high-concentration representation in the joint time–frequency (TF) plane.
Design/methodology/approach
In this paper, the authors consider the effective TF analysis for nonstationary signals consisting of multiple components.
Findings
To make it, the authors propose the combined multi-window Gabor transform (CMGT) under the scheme of multi-window Gabor transform by introducing the combination operator. The authors establish the completeness utilizing the discrete piecewise Zak transform and provide the perfect-reconstruction conditions with respect to combined TF coefficients. The high-concentration is achieved by optimization. The authors establish the optimization function with considerations of TF concentration and computational complexity. Based on Bergman formulation, the iteration process is further analyzed to obtain the optimal solution.
Originality/value
With numerical experiments, it is verified that the proposed CMGT performs better in TF analysis for multi-component nonstationary signals.
Keywords
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant No. 61501493).
Article classification: Signal processing; Time–frequency analysis.
Conflict of interest: No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere, in whole or in part. All the authors listed have approved the manuscript that is enclosed.
Citation
Wang, Q., Meng, C. and Wang, C. (2022), "High-concentration time–frequency analysis for multi-component nonstationary signals based on combined multi-window Gabor transform", Engineering Computations, Vol. 39 No. 4, pp. 1234-1273. https://doi.org/10.1108/EC-03-2021-0142
Publisher
:Emerald Publishing Limited
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