Fast complexified quaternion Fourier transform

Abstract

A discrete complexified quaternion Fourier transform is introduced. This is a generalization of the discrete quaternion Fourier transform to the case where either or both of the signal/image and the transform kernel are complex quaternion-valued. It is shown how to compute the transform using four standard complex Fourier transforms and the properties of the transform are briefly discussed.

References in corpus (1)

• Biquaternion (complexified quaternion) roots of -1

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