Fast complexified quaternion Fourier transform

Details Fast complexified quaternion Fourier transform Fast complexified quaternion Fourier transform

2006-03-24

arxiv.org/abs/math/0603578v1

IEEE Transactions on Signal Processing, 56, (4), April 2008, 1522-1531

Mathematics

Numerical Analysis

Scientific paper

10.1109/TSP.2007.910477

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.

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