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2013 On Uncertainty Principle for Quaternionic Linear Canonical Transform
Kit Ian Kou, Jian-Yu Ou, Joao Morais
Abstr. Appl. Anal. 2013: 1-14 (2013). DOI: 10.1155/2013/725952


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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Kit Ian Kou. Jian-Yu Ou. Joao Morais. "On Uncertainty Principle for Quaternionic Linear Canonical Transform." Abstr. Appl. Anal. 2013 1 - 14, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.42012
MathSciNet: MR3049326
Digital Object Identifier: 10.1155/2013/725952

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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