Two-Sided Clifford Fourier Transform with Two Square Roots of-1 in Cl(p, q)

作者：Hitzer Eckhard^*

来源：Advances in Applied Clifford Algebras, 2014, 24(2): 313-332.

DOI：10.1007/s00006-014-0441-9

• Clifford Fourier transform
• Clifford algebra
• signal processing
• square roots of-1

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 multivector square roots Cl(p, q) of -1 are used to split multivector signals, and to construct the left and right CFT kernel factors.

• 出版日期2014-6