这种方法引出复数傅里叶变换，也就是在第八章中讨论过的实数傅里叶变换的一个更复杂的形式。

This approach leads to the complex Fourier transform, a more sophisticated version of the real Fourier transform discussed in Chapter 8.

youdao

在讲复数运算之前，我们先来回顾一下实数离散傅里叶变换，强调一下它在某些情况下数学上很笨拙。

Before jumping into the complex math, let's review the real DFT with a special emphasis on things that are awkward with the mathematics.

youdao