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A Signal Decomposition Algorithm Based on Multiple Complex AMFM Model

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Abstract

The model-based signal decomposition algorithm is an important research direction in the field of digital signal processing, especially based on the amplitude modulation and frequency modulation (AMFM) model. In this paper, a signal decomposition algorithm based on multiple complex AMFM model is proposed to analyze multi-model data sets. Firstly, the analyzed signal is converted into the form of the analytic signal because of the simple representation of the AMFM model in the analytic domain. Then, the multi-model optimization equation of the analytic signal is realized by the estimated instantaneous frequency (IF) of each model, which can be estimated by time–frequency analysis (TFA). Finally, each model parameter of the optimization equation is solved by the partial differential equation and the alternating direction method of multipliers method (ADMM) to find the global optimal solution of the signal. In the optimization equation, we introduce the leakage factor to improve the extraction accuracy of the model; at the same time, we employ the cyclic iteration method to optimize the equation parameters to improve the convergence rate of the algorithm. Several examples of the simulated and real-life signals are provided to show that the proposed algorithm can accurately estimate the parameters of each model in the signal.

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Data availability

The data that support the findings of this study are available from the corresponding author on request.

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Funding

This work is supported by the Key Science Program of Anhui Education Department (KJ2018A0012, KJ2019A0023) and the Research Fund for Doctor of Anhui University (J01003266), and is also supported by the National Natural Science Foundation of China (NSFC) (61402004, 61601003, 61370110).

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Authors and Affiliations

  1. School of Computer Science and Technology, Anhui University, Hefei, 230601, China

    De Zhu

  2. School of Electrical Engineering and Automation, Anhui University, Hefei, 230601, China

    Qingwei Gao, Yixiang Lu & Dong Sun

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  1. De Zhu
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  2. Qingwei Gao
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  3. Yixiang Lu
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  4. Dong Sun
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Correspondence to Qingwei Gao.

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Zhu, D., Gao, Q., Lu, Y. et al. A Signal Decomposition Algorithm Based on Multiple Complex AMFM Model. Circuits Syst Signal Process 41, 1052–1073 (2022). https://doi.org/10.1007/s00034-021-01825-3

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  • DOI: https://doi.org/10.1007/s00034-021-01825-3

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