Algorithm for sine wave cure fit based on frequency precise estimation

2017 International Conference on Mechanical, System and Control Engineering (ICMSC) Pub Date : 2017-05-01 DOI:10.1109/ICMSC.2017.7959501

Xuanze Wang, Yi Luo, Zhongsheng Zhai, Liangen Yang, Tao He

{"title":"Algorithm for sine wave cure fit based on frequency precise estimation","authors":"Xuanze Wang, Yi Luo, Zhongsheng Zhai, Liangen Yang, Tao He","doi":"10.1109/ICMSC.2017.7959501","DOIUrl":null,"url":null,"abstract":"In the process of curve fitting, the unknown relationship between the data sampling rate and the frequency of the measured signal as well as signal's frequency fluctuations can cause remarkable error. In this paper, a sine curve fitting algorithm with frequency precise estimation is proposed to solve this problem. Firstly, ellipse fitting algorithm is used to estimate the measured signal frequency. On the basis of this, the three-parameter sine fitting calculation based on the least squares method is applied to the sampling data, and the accuracy of the sine curve fitting result is improved. The experimental results show that the algorithm proposed in this paper can avoid the problem of frequency fluctuation and error caused by the unknown relationship between the sampling frequencies. Moreover, the fitting has a good randomness after frequency estimation, and the fitting result has nothing to do with the signal amplitude. Compared without frequency accurate estimation, the fitting error is greatly reduced and the fitting precision is higher.","PeriodicalId":356055,"journal":{"name":"2017 International Conference on Mechanical, System and Control Engineering (ICMSC)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 International Conference on Mechanical, System and Control Engineering (ICMSC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMSC.2017.7959501","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

Abstract

In the process of curve fitting, the unknown relationship between the data sampling rate and the frequency of the measured signal as well as signal's frequency fluctuations can cause remarkable error. In this paper, a sine curve fitting algorithm with frequency precise estimation is proposed to solve this problem. Firstly, ellipse fitting algorithm is used to estimate the measured signal frequency. On the basis of this, the three-parameter sine fitting calculation based on the least squares method is applied to the sampling data, and the accuracy of the sine curve fitting result is improved. The experimental results show that the algorithm proposed in this paper can avoid the problem of frequency fluctuation and error caused by the unknown relationship between the sampling frequencies. Moreover, the fitting has a good randomness after frequency estimation, and the fitting result has nothing to do with the signal amplitude. Compared without frequency accurate estimation, the fitting error is greatly reduced and the fitting precision is higher.

查看原文本刊更多论文

基于频率精确估计的正弦波拟合算法

在曲线拟合过程中，由于数据采样率与被测信号频率之间的关系未知，以及信号的频率波动，会造成较大的误差。本文提出了一种频率精确估计正弦曲线拟合算法来解决这一问题。首先，采用椭圆拟合算法对被测信号频率进行估计;在此基础上，将基于最小二乘法的三参数正弦曲线拟合计算应用于采样数据，提高了正弦曲线拟合结果的精度。实验结果表明，本文提出的算法可以避免由于采样频率之间的关系未知而引起的频率波动和误差问题。而且经过频率估计后的拟合具有很好的随机性，拟合结果与信号幅度无关。与无频率精确估计相比，拟合误差大大减小，拟合精度更高。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

2017 International Conference on Mechanical, System and Control Engineering (ICMSC)

自引率

0.00%

发文量