Novel Uncertainty Principles for Two-Sided Quaternion Linear Canonical Transform
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-018-0828-0
Abstract: The uncertainty principle, which offers information about a function and its Fourier transform in the time-frequency plane, is particularly powerful in mathematics, physics and signal processing community. In this paper, based on the fundamental relationship… read more here.
Keywords: two sided; linear canonical; uncertainty; quaternion linear ... See more keywords
Uncertainty Principles for The Quaternion Linear Canonical Transform
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-019-1020-x
Abstract: The (right-sided) Quaternion Linear Canonical transform (QLCT) satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. The aim of this paper is to prove a quantitative uncertainty inequality about the essential… read more here.
Keywords: linear canonical; uncertainty; quaternion linear; canonical transform ... See more keywords
Uncertainty Principles for the Two-Sided Quaternion Linear Canonical Transform
Sign Up to like & getrecommendations! Published in 2020 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-020-01376-z
Abstract: The quaternion linear canonical transform (QLCT), as a generalized form of the quaternion Fourier transform, is a powerful analyzing tool in image and signal processing. In this paper, we propose three different forms of uncertainty… read more here.
Keywords: quaternion; two sided; linear canonical; uncertainty ... See more keywords
A Convolution Theorem Related to Quaternion Linear Canonical Transform
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DOI: 10.1155/2019/3749387
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… read more here.
Keywords: quaternion; linear canonical; quaternion linear; canonical transform ... See more keywords
A Variation on Inequality for Quaternion Fourier Transform, Modified Convolution and Correlation Theorems for General Quaternion Linear Canonical Transform
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DOI: 10.3390/sym14071303
Abstract: The quaternion linear canonical transform is an important tool in applied mathematics and it is closely related to the quaternion Fourier transform. In this work, using a symmetric form of the two-sided quaternion Fourier transform… read more here.
Keywords: quaternion linear; quaternion; transform; linear canonical ... See more keywords