四参数正弦曲线拟合的快速算法  

The Fast Algorithm of Sine Wave Curve-fitting

作　　者：梁志国[1] LIANG Zhiguo(National Key Laboratory of Science and Technology on Metrology&Calibration,Changcheng Institute of Metrology and Measurement,Beijing 100095,China)

机构地区：[1]北京长城计量测试技术研究所计量与校准技术重点实验室,北京100095

出　　处：《计量学报》2024年第4期586-593,共8页Acta Metrologica Sinica

基　　金：国家重点研发计划(2017YFF0206202)。

摘　　要：对四参数正弦拟合软件运行时间进行了研究,提出一种软件拟合时间的定量评价方法,对序列长度、序列所含信号周波数、正弦波形幅度、相位、直流分量,以及A/D位数等不同因素条件,给四参数正弦曲线拟合所用时间的影响进行了定量评价,获得了拟合时间随各个因素而变化的规律。针对影响软件运行时间的主要因素,提出了以减少拟合序列长度为手段,进而降低拟合所用时间的快速拟合方法。它们是直接序列截取法和二次抽样法。并在一组实验上验证了所述方法的有效性与可行性,获得了二次抽样法优于直接截取法的明确结论。所述方法可用于四参数正弦拟合的快速运算。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.

关 键 词：无线电计量 正弦波 曲线拟合 二次抽样法 序列截取法 参数估计 校准 

分 类 号：T973[一般工业技术]