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| The Comparative Study of Curve-fit Methods for Partial Period Sine Waves |
| LIANG Zhi-guo |
| National Key Laboratory of Science and Technology on Metrology & Calibration, Beijing Changcheng Institute of Metrology and Measurement, Beijing 100095, China |
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Abstract Aiming at both the frequency search method and the combination method, the shortest cycles of the sinusoidal curve fit method can achieve in the actual fit, which is carried out in two sampling sequences of both single-precision floating point data and double precision floating point data. By searching for change signal cycles of sequence, the sampling data number, the waveform initial phase, simulation experiment has been studied. The variation laws of the sinusoidal parameters of curve-fitting have been presented, the conclusions obtained are: 1) For single-precision floating point data sequence, under any phase conditions, the frequency search method can obtain available results under 10% waveform cycle curve, and the combination method can obtain available results in a 7% waveform cycle curve; on the best conditions near the zero point, 1% cycles curve can be performed for good fitting results. 2) On the double precision floating point data sequence, in any phase condition, the frequency search method can obtain available results under 7% waveform cycle curve, and the combination method can obtain available results at 4% waveform cycle curve; near the zero point, the combination method can perform residual period fitting of 0.03% periodic curves.
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Received: 17 March 2022
Published: 25 June 2023
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2023, Vol. 44 
