离散傅里叶变换引入方法的探讨

Introduction Method of Discrete Fourier Transform

重点介绍从线性空间的矢量展开理论直接引入离散傅里叶变换(DFT)。相比于从离散时间傅里叶变换(DTFT)或从离散时间傅里叶级数DFS引入,从线性空间的矢量展开理论具备完备的数学基础,便于学生理解。

This paper discusses the introduction method of DFT, with the emphasis on a direct introduction of DFT from the vector expansion theory of linear space. Compared to the introduction of DFT from DTFT or from DFS, the vector expansion theory of linear space has a complete mathematical foundation, which is easy for students to understand.