非均匀采样条件下残周期正弦波形的最小二乘拟合算法

doi:10.3969/j.issn.1000-1158.2021.03.16

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Abstract To introduce a four-parameter sine wave curve-fit method, it can attain the curve-fit results only with the partial wave period. it based on the three-parameter sine wave curve-fit method, and it aims at the parameter estimation of ultra lower frequency sinusoidal with non-uniform sampling series, where, normally one cant get the whole period waveform due to time limit, and there are only partial sine wave period. The speciality of the arithmetic is that it turns the optimization of four parameters (amplitude, frequency, phase and offset) into the optimization of one parameter (only frequency), and without any original parameter pre-estimation. Both the simulation and experiments have proved the validity and feasibility, this method can be applied to the four-parameter sine wave curve-fit and the ultra low frequency sine wave parameter control.

Key words： metrology non-uniform sampling three-parameter sine curve-fit parameter estimation calibration

Received: 18 December 2019 Published: 23 March 2021

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TB973

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LIANG Zhi-guo. The Sinewave Fit Algorithm Based on Total Least-Square Method with Partial Period Waveforms and Non-uniform Sampling[J]. Acta Metrologica Sinica, 2021, 42(3): 358-364.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2021.03.16 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2021/V42/I3/358

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