四参数正弦曲线拟合的快速算法

doi:10.3969/j.issn.1000-1158.2024.04.19

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Abstract The running time of the four-parameter sine wave curve fitting software is studied, and a quantitative evaluation method of the software fitting time is proposed. The influence of the time used for the four-parameter sinusoidal curve fitting is quantitatively evaluated on the different factors and conditions such as the length of the sequence, the number of signal cycles contained in the sequence, the amplitude of the sine wave, the phase, the DC component, and the number of A/D bits, and the law of the fitting time varying versus each factor is obtained. Aiming at the main factors affecting the software running time, a fast fitting method is proposed to reduce the fitting time by reducing the length of the fitting sequence. They are direct sequence interception method and secondary sampling method. The validity and feasibility of the method are verified by a group of experiments, the conclusion is that the secondary sampling method is superior to the direct interception method. Both of them all can be used for fast calculation of four-parameter sine fitting.

Key words： electronic metrology sine wave curve fit secondary sampling method sequence interception method parameter estimation calibration

Received: 27 December 2022 Published: 03 April 2024

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T973

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	LIANG Zhiguo

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LIANG Zhiguo. The Fast Algorithm of Sine Wave Curve-fitting[J]. Acta Metrologica Sinica, 2024, 45(4): 586-593.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2024.04.19 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2024/V45/I4/586

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