On Uncertainty Principle for Quaternionic Linear Canonical Transform
We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. This uncertainty principle prescribes a lower bound on the product of the...
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Veröffentlicht in: | Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.548-561-957 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We generalize the linear canonical transform (LCT) to quaternion-valued signals, known as the quaternionic linear canonical transform (QLCT). Using the properties of the LCT we establish an uncertainty principle for the QLCT. 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 2D Gaussian signal minimizes the uncertainty. |
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ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2013/725952 |