Bahri, Mawardi; Hitzer, Eckhard S. M.; Hayashi, Akihisa; Ashino, Ryuichi An uncertainty principle for quaternion Fourier transform. (English) Zbl 1165.42310 Comput. Math. Appl. 56, No. 9, 2398-2410 (2008). Summary: We review the quaternionic Fourier transform (QFT). Using the properties of the QFT we establish an uncertainty principle for the right-sided QFT. This uncertainty principle prescribes a lower bound on the product of the effective widths of quaternion-valued signals in the spatial and frequency domains. It is shown that only a Gaussian quaternion signal minimizes the uncertainty. Cited in 40 Documents MSC: 42C15 General harmonic expansions, frames Keywords:quaternion algebra; quaternionic Fourier transform; uncertainty principle; Gaussian quaternion signal; hypercomplex functions PDF BibTeX XML Cite \textit{M. Bahri} et al., Comput. Math. 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