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Nonstationary harmonic signal extraction from strong chaotic interference based on synchrosqueezed wavelet transform

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Abstract

To overcome the shortcomings of the synchrosqueezed wavelet transform (SWT) in extracting nonstationary harmonic signals from chaotic backgrounds, an improved nonstationary extraction method with SWT is proposed based on an adaptive optimal accumulation frequency range. First, according to the relationship between the wavelet coefficients of the nonstationary harmonic signals and the support interval of the mother wavelet function, an adaptive accumulation frequency range formula is derived for extracting the nonstationary harmonic signal. Then, the optimal value of the parameter of the adaptive accumulation frequency range formula is determined using the minimum energy error criterion to realize the adaptive SWT extraction of nonstationary harmonic signals. In experiments, various types of nonstationary harmonic signals are extracted from the Lorenz background and Duffing background using both a classic SWT method and the proposed method. The experimental results show that the proposed method can effectively extract nonstationary harmonic signals from noisy backgrounds. Compared with the classical SWT method, the mean square error of the extracted harmonic signal by the proposed method is lower, and the correlation coefficient is higher.

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Acknowledgements

This research was financially supported by National Natural Science Fund (Nos. 61671338, 61771354, 51774219), fund from Hubei Province Key Laboratory of Intelligent Information Processing and Real-time Industrial System (Wuhan University of Science and Technology) (znxx2018QN04,znxx2018QN01), fund from Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology (Y201709), and Funded By Open Research Fund Program of Key Laboratory of Digital Mapping and Land Information Application Engineering, NASG (No. GCWD201805).

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Authors and Affiliations

  1. Hubei Key Laboratory of Transportation Internet of Things, Wuhan University of Technology, Wuhan, 430063, China

    Xiang-Li Wang, Chun-Lin Li & Xin Yan

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  1. Xiang-Li Wang
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  2. Chun-Lin Li
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  3. Xin Yan
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Correspondence to Xiang-Li Wang.

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Wang, XL., Li, CL. & Yan, X. Nonstationary harmonic signal extraction from strong chaotic interference based on synchrosqueezed wavelet transform. SIViP 13, 397–403 (2019). https://doi.org/10.1007/s11760-018-1368-8

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  • DOI: https://doi.org/10.1007/s11760-018-1368-8

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