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Multi-spectra synchrosqueezing transform
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DOI：10.1016/j.sigpro.2023.108940.png)
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Abstract
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The synchrosqueezing transform (SST) is an effective method to obtain a clear time-frequency repre-sentation (TFR). Unfortunately, it suffers from low time-frequency (TF) resolution faced with strongly frequency-modulated signals, such as chirp signals. In this paper, we propose the generalized syn-chrosqueezing fractional S-transform (GSSFrST) to address this deficiency. In addition, we have also con-sidered its second-order version to further enhance the TFR. They combine the advantages of fractional Fourier transform and synchrosqueezing generalized S-transform to improve the TF concentration. To fur-ther improve the TF resolution, we propose the multi-spectra synchrosqueezing transform (MSST) based on the GSSFrST and Hough transform. Inspired by the idea of image fusion, the MSST uses multiple TF spectra to fuse into a novel TF spectrum to represent each component of the signal in more detail. The experimental results show that MSST is a promising TF analysis tool for cross chirp signal separation and instantaneous frequency estimation.(c) 2023 Published by Elsevier B.V.
Keywords:
Synchrosqueezing transform
Time-frequency representation
Fractional Fourier transform
Multi-spectra synchrosqueezing transform
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