四参数正弦波组合式拟合算法

doi:10.3969/j.issn.1000-1158.2021.12.02

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Abstract A combined four-parameter sinusoidal fitting method is proposed. Firstly, a three-parameter sine fitting algorithm with known frequency is used for frequency search, and a one-dimension search iterative sine fitting algorithm is constructed to obtain four parameters of amplitude, frequency, phase and DC component. Then, using it as an initial value, a four-parameter search iteration method is used to obtain the final sine fitting result. The method can be applied to multi-cycle and partial cycle sequences, with clear convergence domain, which can ensure the overall optimal convergence fitting result under any circumstances. Simulation and experimental experiments verify the effectiveness and feasibility of the proposed method.

Key words： metrology sinusoidal curve-fit parameter estimation calibration

Received: 27 July 2020 Published: 06 December 2021

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TB973

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	LIANG Zhi-guo

Cite this article:

LIANG Zhi-guo. The Four-parameter Sinusoidal Curve-fit Method by Using Combination Methods[J]. Acta Metrologica Sinica, 2021, 42(12): 1558-1565.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2021.12.02 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2021/V42/I12/1558

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