Fast Complexified Quaternion Fourier Transform


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


3 Figures and Tables


Citations per Year

51 Citations

Semantic Scholar estimates that this publication has 51 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@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} }