6 citations · 16 across the 18 of their papers we have counts for
4 papers · 1 filter
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…
Biquaternion Z Transform
Wenshan Bi, Zhen-Feng Cai, Kit Ian Kou
In this work, the biquaternion Z transformation method is proposed to solve a class of biquaternion recurrence relations. Biqueternion Z transform is an natural extension of the co…
Discrete Uncertainty Principle in Quaternion Setting and Application in Signal Reconstruction
Yan Yang, Kit Ian Kou, Cuiming Zou
In this paper, the uncertainty principle of discrete signals associated with Quaternion Fourier transform is investigated. It suggests how sparsity helps in the recovery of missing…
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…