Functions and Analysis


General One-Sided Clifford Fourier Transform, and Convolution Products in the Spatial and Frequency Domains

Authors: Eckhard Hitzer

In this paper we use the general steerable one-sided Clifford Fourier transform (CFT), and relate the classical convolution of Clifford algebra-valued signals over $\R^{p,q}$ with the (equally steerable) Mustard convolution. A Mustard convolution can be expressed in the spectral domain as the point wise product of the CFTs of the factor functions. In full generality do we express the classical convolution of Clifford algebra signals in terms of a linear combination of Mustard convolutions, and vice versa the Mustard convolution of Clifford algebra signals in terms of a linear combination of classical convolutions.

Comments: 16 Pages. 1 figure

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Submission history

[v1] 2016-04-01 02:42:01

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