傅氏算法的滤波特性分析

Filter characteristic analysis of Fourier algorithm

目前的一些文献普遍认为,全波傅氏算法能够滤除整数次谐波,半波傅氏算法能够滤除奇数次谐波,但该文认为这种观点是有待商榷的。文章根据正弦信号采样的不确定性,分析了电力系统中的信号采样结果与采样频率的关系,并分析了傅氏算法的频率响应函数的性质,总结了傅氏算法的滤波性能特点,并进一步分析了衰减非周期分量以及频谱泄露对傅氏算法造成的影响。

Many literatures suppose that full-wave Fourier algorithm can remove the integral harmonic component and half-wave Fourier algorithm can remove the impair harmonic component. While the viewpoint is not exactly right. Based on the uncertainty of sine signal＇s sampling result and the relationship between the sampling result and sampling frequency, the paper summerizes the frequency response and filter characteristic of Fourier algorithm, and also analyses the impact on Fourier algorithm of decaying DC component and frequency spectrum leakage.