The Sinewave Fit Algorithm Based on Total Least-square Method with Non-uniform Sampling
LIANG Zhi-guo1，ZHUZhen-yu2
1. Ghangcheng Institute of Metrology and Measurement, Beijing 100095, China；
2. College of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China
Abstract：Aiming at the non-uniform sampling series, a four-parameter sine wave curve-fit method is introduced. It is based on the three-parameter sine wave curve-fit method with frequency known. It can attain the four-parameter of sinusoidal curve-fit results with both the uniform sampling series and the non-uniform sampling series. 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 estimation. The method has excellent convergence， good robustness, and clearly convergence interval. The validity and feasibility are proved by both simulation and experiments, this method can be applied to the four-parameter sine wave curve-fit with non-uniform sampling series.
梁志国，朱振宇. 非均匀采样正弦波形的最小二乘拟合算法[J]. 计量学报, 2014, 35(5): 494-498.
LIANG Zhi-guo, ZHU Zhen-yu. The Sinewave Fit Algorithm Based on Total Least-square Method with Non-uniform Sampling. Acta Metrologica Sinica, 2014, 35(5): 494-498.
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