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HITZER, Eckhard
Senior Associate Professor Division of Arts and Sciences, College of Liberal Arts, International Christian University |
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| Language | English |
| Publication Date | 2008 |
| Type | Research Paper (Scientific Journal) |
| Peer Review | With peer review |
| Title | An Uncertainty Principle for Quaternion Fourier Transform |
| Contribution Type | Joint Work |
| Journal | Computer & Mathematics with Applications |
| Journal Type | Another Country |
| Publisher | Elsevier |
| Volume, Issue, Pages | 56,pp.2398-2410 |
| Author and coauthor | HITZER Eckhard, B. Mawardi, A. Hayashi, R. Ashino |
| Details | 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. |
| DOI | 10.1016/j.camwa.2008.05.032 . |