On Uncertainty Principle for Quaternionic Linear Canonical Transform

Kit Ian Kou, Jian-Yu Ou and Joao Morais

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/725952

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:725952

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