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Quaternion Linear Canonical Transform (QLCT) is a generalization of the Linear Canonical Transform (LCT) on
quaternion algebra which plays an important role in optics and signal processing. QLCT can be seen as
generalization of Quaternion Fourier Transform (QFT). Based on the fact, this paper propose the formulat of
modification convolution theorem based on left-sided QLCT by considering the fundamental relationship between
left-sided QLCT and QFT. The results showed the modification convolution theorem for left-sided QLCT based on
relationship between left-sided QLCT and QFT as a sum of multiplication of left-sided QFT can be derived.
Keywords : Convolution Theorem, Quaternion Fourier Transform, Quaternion Linear Canonical Transform
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