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We generalize quaternion and Clifford Fourier transforms to general two-sidedClifford Fourier transforms (CFT), and study their properties (from linearityto convolution). Two general \textit{multivector square roots} $\in \cl{p,q}$\textit{of} -1 are used to split multivector signals, and to construct the leftand right CFT kernel factors.  Keywords: Clifford Fourier transform, Clifford algebra, signal processing,square roots of -1 .

Two-sided Clifford Fourier transform with two square roots of -1 in Cl(p,q)