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时域平均处理是从混有噪声的复杂周期信号中提取简谐分量的有效方法之一。本文从时域平均处理的基本原理出发,探讨了时域平均处理中周期测量误差对简谐分量幅值和相位的影响,并给出了时域平均处理后信号各阶简谐分量幅值衰减量和相位变化与周期测量误差、平均次数以及分量阶次之间的关系式。该关系式较复杂不便于工程应用,本文进一步用简单函数线性组合逼近的方法,得出了简化关系式。仿真和工程实例表明,该简化关系式适合工程应用
Time-domain averaging is one of the effective methods to extract simple harmonic components from complex periodic signals with noise. In this paper, based on the basic principle of time-domain averaging, the effect of period measurement error on the amplitude and phase of harmonic components in time-domain averaging is discussed. The amplitude attenuation Relationship between quantity and phase change and period measurement error, average number of times and component order. The complex relation is not convenient for engineering application. In this paper, we further simplify the relation by linear approximation method of simple function. Simulation and engineering examples show that the simplified relation is suitable for engineering application