Fast Complexified Quaternion Fourier Transform

Abstract

In this paper, we consider the extension of the Fourier transform to biquaternion-valued signals. We introduce a transform that we call the biquaternion Fourier transform (BiQFT). After giving some general properties of this transform, we show how it can be used to generalize the notion of analytic signal to complex-valued signals. We introduce the notion… (More)
DOI: 10.1109/TSP.2007.910477

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@article{Said2008FastCQ, title={Fast Complexified Quaternion Fourier Transform}, author={Salem Said and Nicolas Le Bihan and Stephen J. Sangwine}, journal={IEEE Transactions on Signal Processing}, year={2008}, volume={56}, pages={1522-1531} }