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| The Influence of Both Data Number and Signal Cycles to the Sinusoidal Parameter’s Error in Sine-Fit Method |
| LIANG Zhi-guo |
| National Key Laboratory of Science and Technology on Metrology & Calibration, Changcheng Institute of Metrology and Measurement, Beijing 100095, China |
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Abstract Aiming at the influence of measurement conditions on the error of the curve-fit parameters by the sine fitting method, a study on the fitting error bounds is carried out. The selected condition variables are the A/D bits number, the signals amplitude, the number of signal cycles in sampling sequence, the initial phase, the DC bias, and the number of data points in sampling sequence. The error bounds search is carried out in the dual condition combination method, and the error of curve-fit parameters via the changes of different conditions is obtained, both the significant influence and the insignificant influence are screened out. Through the study of the influence of the number of A/D bits, the number of signals cycles in sequence, and the number of data points, some laws has been carried out, and the significant law that the error boundary showing the characteristics of the quantization step has been obtained, and the estimation of the boundary point of the quantization step has been obtained by empirical formula. The result can be used to estimate the error and uncertainty of the sine-fit parameters, and can also be used to select the measurement conditions under the fitting error and uncertainty.
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Received: 23 June 2021
Published: 20 August 2022
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2022, Vol. 43 
