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A Convolution Theorem Related to Quaternion Linear Canonical Transform

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We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion… Click to show full abstract

We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain we derive the convolution theorem associated with the QLCT and obtain a few consequences.

Keywords: quaternion; linear canonical; quaternion linear; canonical transform; convolution

Journal Title: Abstract and Applied Analysis
Year Published: 2019

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