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math.CA2022
Monogenic Signal Associated with Linear Canonical Transform and Application to Edge Detection Problems
Dong Cheng, Kit Ian Kou
Monogenic signal is regarded as a generalization of analytic signal from the one dimensional space to the high dimensional space. It is defined by an original signal with the combi…
math.CA2019
Floquet Theory for Quaternion-valued Differential Equations
Dong Cheng, Kit Ian Kou, Yong Hui Xia
This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficient…