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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摘要提出了一种组合式四参数正弦曲线拟合方法。首先,使用已知频率的三参数正弦拟合算法进行频率搜索,构造出一维搜索迭代正弦拟合算法,获得幅度、频率、相位、直流分量4个参数。然后,以其作为初始值,使用四参数搜索迭代方式,获得最终的正弦拟合结果。该方法可以适用于多周期和残周期序列情况,具有明确的收敛域,可以保证在任何情况下获得总体最优的收敛拟合结果。仿真和实测实验,均验证了所述方法的有效性与可行性。

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	梁志国

关键词 ：计量学, 正弦波, 曲线拟合, 参数估计, 校准

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

收稿日期: 2020-07-27 发布日期: 2021-12-06

PACS:

TB973

作者简介: 梁志国(1962-),黑龙江巴彦县人,北京长城计量测试技术研究所研究员,博士,博士研究生导师,主要研究方向为数字化测量与校准、模式识别、动态校准、精确测量。Email:Lzg304@sina.com

引用本文:

梁志国. 四参数正弦波组合式拟合算法[J]. 计量学报, 2021, 42(12): 1558-1565.
LIANG Zhi-guo. The Four-parameter Sinusoidal Curve-fit Method by Using Combination Methods. Acta Metrologica Sinica, 2021, 42(12): 1558-1565.

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

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