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目前,有不少文章对 FFT 补零充位问题提出各种各样的说法。沉泉认为“对于一个离散序列,补零充位与不补零充位,其频谱是完全相同的”;朱光明等人认为“补零充位和不补零充位所得的谱是完全一致的”;也有人认为“对于周期函数两者是不一样的,但是,对于非周期函数两者是一样的”。还有人认为“这样求得的两种傅里叶振幅的频率是不同的,两者之间存在一定的偏差。那么哪一个是正确的傅里叶谱呢?
At present, many articles put forward various opinions on the problem of zero-filling of FFT. Shen Quan believes that “for a discrete sequence, zero-fill and not fill zero filling position, the spectrum is exactly the same”; Zhu Guangming, who believes that “fill zero fill and not fill zero recharge the spectrum is completely consistent ; ”Some people think that“ for the periodic function is not the same for both, but for both non-periodic function is the same. ” Some people think that "the obtained two kinds of Fourier amplitude frequency is different, there is a certain deviation between the two. So which one is the correct Fourier spectrum?