Cl（p，q）中具有两个-1的平方根的双边Clifford傅里叶变换
Two-sided Clifford Fourier transform with two square roots of -1 in Cl(p,q)
摘要：
本文将四元数和Clifford傅里叶变换推广到一般的双边Clifford傅里叶变换（CFT），并研究了它们的性质（从线性到卷积）。两个通用的\textit{multivector square roots} $\in \cl{p,q}$ \textit{of} -1被用于分离多向量信号，并构造左和右CFT核因子。关键词：克利福德傅里叶变换，克利福德代数，信号处理，-1的平方根。
英文摘要：
We generalize quaternion and Clifford Fourier transforms to general two-sided Clifford Fourier transforms (CFT), and study their properties (from linearity to convolution). Two general \textit{multivector square roots} $\in \cl{p,q}$ \textit{of} -1 are used to split multivector signals, and to construct the left and right CFT kernel factors. Keywords: Clifford Fourier transform, Clifford algebra, signal processing, square roots of -1 .
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