作者：徐子翼1, 张忠立2, 王灿2, 倪玉山1
作者单位：1. 复旦大学航空航天系，上海 200433;
2. 上海市计量测试技术研究院，上海 201203
关键词：计量学;正弦压力;误差分析;频率估计
摘要：
针对现行规程中广泛应用的4种正弦压力信号处理方法，为比较三参数法和四参数法的优劣，使用Matlab模拟幅值缩放、相位时延和谐波失真3种情况下的理想信号，并计算其幅值、直流分量、相位和频率4个正弦参数。结果表明：在已知信号频率的情况下，三参数法优于四参数法，且不受谐波干扰。进一步绘制三维图像，分析频率估计误差对三参数法幅值灵敏度和相位差的影响，最终给出结论：三参数法的最大误差在频率估计误差较小时可用线性误差控制，频率估计百分比误差为2%时，幅值灵敏度和相位差的最大百分比误差约为-1.9%，可用于保守计算频率估计误差所带来的影响。
Study on processing methods of sinusoidal pressure signal data
XU Ziyi1, ZHANG Zhongli2, WANG Can2, NI Yushan1
1. Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China;
2. Shanghai Institute of Measurement and Testing Technology, Shanghai 201203, China
Abstract: Aiming at four widely used processing methods of sinusoidal pressure signal in current regulations, three kinds of ideal conditions, which include amplitude scaling, phase delay and harmonic distortion, are designed in Matlab to simulate and calculate its four sinusoidal parameters, which include amplitude, direct component, phrase and frequency, to compare advantages and disadvantages of three-parameter method and four-parameter method. The result shows that three-parameter method is superior to four-parameter method and is not interfered by harmonic wave in the case of known signal frequency. Meanwhile, the effect of frequency estimation error to three-parameter method’s amplitude sensitivity and phase difference is analyzed by plotting its three-dimensional charts. Finally, it comes a conclusion that the maximum error of three-dimensional method can be controlled by linear error when frequency estimation error is small. The maximum error percent of amplitude sensitivity and phase difference is approximately -1.9% when the error percent of frequency estimation is 2%, which can be used to conservatively calculate the effect of frequency estimation error.
Keywords: metrology;sinusoidal pressure;error analysis;frequency estimation
2020, 46(8):19-25,46 收稿日期: 2020-01-19;收到修改稿日期: 2020-03-03
基金项目: 上海市科委技术标准专项（18DZ2203800）
作者简介: 徐子翼(1996-)，男，上海市人，硕士研究生，专业方向为固体力学
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