Abstract It is described that the uncertainty of evaluation results of sine wave parameters by using the least mean square four-parameter sine wave curve-fit method, including the courses of analysis and evaluation of uncertainty of it. Some error sources of curve-fit parameters are discussed, including the signal amplitude errors, the harmonic distortion of sampling serials, the quantization errors & noise & the spurious distortion, the jitter of the signal periods in sampling serials, the calculation errors of software, and the others. The Uncertainty of curve-fit parameters is given out, and several main methods about decreasing the curve-fit parameter errors and evaluation uncertainty have been proposed. In an example of experiment, that the analysis and uncertainty evaluation results of amplitude of sine wave by using curve-fit method is presented.
［1］Chiorboli G, Franco G, Morandi C. Uncertainties in quantization-noise estimates ［J］.IEEE Transactions on Instrumentation and Measurement, 1997, 46(1): 56-60.
［2］Verspecht J. Quantifying the maximum phase-distortion error introduced by signal samplers ［J］. IEEE Transactions on Instrumentation and Measurement, 1997, 46(3): 660-666.
［3］Soulders T M, Flach D R, Hagwood C, et al. The Effects of Timing Jitter in Sampling Systems ［J］.IEEE Transaction on Instrumentation and Measurement, 1990, 39(1): 80-85.
［4］Deyst J P, Soulders T M, Solomon O M. Bounds on Least-Squares Four-Parameter Sine-Fit Errors Due to Harmonic Distortion and Noise［J］. IEEE Transaction on Instrumentation & Measurement, 1994, 44 (3): 637-642.
［5］梁志国,孙璟宇.信号周期的一种数字化测量方法［J］.仪器仪表学报,2003,24(S1):195-198.
［6］梁志国,张力.周期信号谐波分析的一种新方法［J］.仪器仪表学报,2005,26(5):469-472.
［7］梁志国,朱济杰.数据采集系统动态噪声的评价方法［J］. 现代测量与实验室管理,1999,(3):23-26.
［8］梁志国,孙璟宇,盛晓岩.正弦信号发生器波形抖动的一种精确测量方法［J］.仪器仪表学报,2004,25(1):23-29.
［9］Liang Z G, Lu K J, Sun J Y. Evaluation of Software of Four-Parameter Sine Wave Curve-fit ［J］. Transaction of Nanjing University of Aeronautics & Astronautics, 2000, 17(1): 100-106.
［10］国家质量技术监督局.JJF 1057—1998 数字存储示波器［S］.北京:中国计量出版社,1999.
［11］Fluke Corporation. 5 700 A/5 720 A Series II Multifunction Calibrator Service Manual［Z］. 1996.
［12］梁志国.一种四参数正弦参量估计算法的改进及实验分析［J］.计量学报,2017,38(4):492-498.
［13］梁志国.一种基于残周期正弦波拟合的相位差测量方法［J］.计量学报,2016,37(4):419-422.
［14］梁志国.数字示波器大触发延迟时间的量子化测量方法［J］.计量学报,2018,39(1):94-98.
2018, Vol. 39 
