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| The Influence of SNR of Waveforms to Sinusoidal Curve-fit in Partial Period |
| LIANG Zhi-guo1, WU Teng-fei1, ZHANG Da-peng1, ZHU Zhen-yu1,2 |
1.National Key Laboratory of Science and Technology on Metrology and Calibration, Changcheng Institute of Metrology and Measurement, Beijing 100095, China;
2.College of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China |
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Abstract Aiming at the partial period sinusoidal waveform sampling series, the definition of signal to noise ratio of sampling series (SNR) and the noise to signal ratio of sampling series (NSR) are put forward. By using the method of varying known parameters of partial period of sinusoidal waveforms and the Gauss noise level, when the width of period, phase, and SNR are varied, the varying rules of curve-fitting error of partial period sinusoidal are studied by experiments. The results show that, in partial period sinusoidal curve-fitting, the varying rule between NSR and phase of sinusoidal series is fixed, all the curve-fitting errors of amplitude, frequency, phase, and DC bias vary as NSR. The partial period sinusoidal curve-fitting errors can be estimated by using simulation with curve-fitting parameters. In experiment, the validity and feasibility of the method above are proved.
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2013, Vol. 34 
