非均匀采样条件下残周期正弦波形的最小二乘拟合算法

梁志国

doi:10.3969/j.issn.1000-1158.2021.03.16

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计量学报 ›› 2021, Vol. 42 ›› Issue (3) : 358-364. DOI: 10.3969/j.issn.1000-1158.2021.03.16

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非均匀采样条件下残周期正弦波形的最小二乘拟合算法

梁志国

作者信息 +

The Sinewave Fit Algorithm Based on Total Least-Square Method with Partial Period Waveforms and Non-uniform Sampling

LIANG Zhi-guo

Author information +

文章历史 +

摘要

对一种用三参数正弦波拟合算法实现的四参数最小二乘正弦波拟合算法进行了实验研究。主要针对在极低频率正弦信号测量控制过程中问题比较突出的,以不足一个信号周期且非均匀采样的部分信号波形估计其4个参数的工程问题。提出了一种以局部周期正弦波形实现的四参数拟合方法,其优点是无需先验初值估计。仿真及实验均证明了该方法的有效性和可行性,从而为波形参数测量与控制提供了一种实现方式。

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.

导出引用

梁志国. 非均匀采样条件下残周期正弦波形的最小二乘拟合算法[J]. 计量学报. 2021, 42(3): 358-364 https://doi.org/10.3969/j.issn.1000-1158.2021.03.16

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 https://doi.org/10.3969/j.issn.1000-1158.2021.03.16

中图分类号： TB973

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