A new definition for Real-valued Fourier transform(RFT) is presented. By this definition, a Fast Real-valued Fourier Transform (FRFT) algorithm is developed for calculating Discrete Fourier Transform (DFT) of Real-valued sequence.

• 本文提出一种实傅里叶变换(RFT)的新定义,用这种定义推导出计算实序列离散傅里叶变换(DFT)的一种快速算法(FRFT);