Abstract
Quaternion Fourier transforms (QFT’s) provide expressive power and elegance in the analysis of higher-dimensional linear invariant systems. But, this power comes at a cost – an overwhelming number of choices in the QFT definition, each with consequences. This chapter explores the evolution of QFT definitions as a framework from which to solve specific problems in vector-image and vector-signal processing.
‘Did you ask a good question today?’ – Janet Teig
Mathematics Subject Classification (2010). Primary 11R52; secondary 42B10.
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Ell, T.A. (2013). Quaternion Fourier Transform: Re-tooling Image and Signal Processing Analysis. In: Hitzer, E., Sangwine, S. (eds) Quaternion and Clifford Fourier Transforms and Wavelets. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0603-9_1
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DOI: https://doi.org/10.1007/978-3-0348-0603-9_1
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