周期信号均值型参数的矩形卷积窗加权测量  

Measurement and Analysis of Periodic Signal Parameters Based on Rectangular Convolution Window Weighting

作　　者：陈砚圃 张介秋[2] CHEN Yanpu;ZHANG Jieqiu(College of Information Engineering, Xijing University, Xi’an 710123, China;Department of Basic Sciences, Air Force Engineering University, Xi’an 710051, China)

机构地区：[1]西京学院信息工程学院,陕西西安710123 [2]空军工程大学基础部,陕西西安710051

出　　处：《探测与控制学报》2020年第3期51-56,共6页Journal of Detection & Control

基　　金：国家自然科学基金项目资助(61971437);西安市科技计划项目资助(GXYD20.5)。

摘　　要：针对一般加窗函数在构建时未充分结合周期信号的特点以及在用于周期信号均值型参数测量时误差分析不具体等问题,基于周期信号的逐次平均可有效抑制异步采样误差的思想,导出了与逐次平均等价的周期信号均值型参数的矩形卷积窗加权测量方法,借助谐波传递系数定量分析了均值的矩形卷积窗加权测量误差。矩形卷积窗加权测量方法对周期信号均值型参数的测量误差随矩形卷积窗阶次的提高呈指数下降,明显低于相同周期窗宽的其他加窗函数对应的测量误差。对正弦信号有效值的矩形卷积窗加权测量进行了理论分析和数值计算,验证了理论和方法的正确性和有效性。Aiming at the problems that the design of a general window function is not fully combined with the characteristics of periodic signal and the mean value measurement error analysis of a periodic signal is not specific,based on the idea that the successive average of a periodic signal can effectively suppress the asynchronous error,the weighted measurement method with rectangular convolution windows for the mean value of a periodic signal is introduced,and the measurement error is quantitatively analyzed with the help of harmonic transfer coefficients.With the increase of the order of the rectangular convolution window,the mean value measurement error of the periodic signal decreases exponentially,which is significantly lower than that of other windowed functions with the same period width.The theoretical analysis and numerical calculation of the weighted measurement of the root mean square(RMS)of a sinusoidal signal with rectangular convolution windows are carried out to verify the correctness and effectiveness of the theory.

关 键 词：周期信号 均值型参数 异步误差 逐次平均 矩形卷积窗 

分 类 号：TM390[电气工程—电机]