On Uncertainty Principle for Quaternionic Linear Canonical Transform

Kit Ian Kou, Jian-Yu Ou and Joao Morais

Abstract and Applied Analysis, 2013, vol. 2013, 1-14

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:725952

DOI: 10.1155/2013/725952

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