28 citations · 124 across the 16 of their papers we have counts for
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Novel sampling formulas associated with quaternionic prolate spheroidal wave functions
Dong Cheng, Kit Ian Kou
The Whittaker-Shannon-Kotel'nikov (WSK) sampling theorem provides a reconstruction formula for the bandlimited signals. In this paper, a novel kind of the WSK sampling theorem is e…
Plancherel theorem and quaternion Fourier transform for square integrable functions
Dong Cheng, Kit Ian Kou
The quaternion Fourier transform (QFT), a generalization of the classical 2D Fourier transform, plays an increasingly active role in particular signal and colour image processing.…
A Unified Analysis of Linear Quaternion Dynamic Equations on Time Scales
Dong Cheng, Kit Ian Kou, Yong Hui Xia
Over the last years, considerable attention has been paid to the role of the quaternion differential equations (QDEs) which extend the ordinary differential equations. The theory o…
Generalized Sampling Expansions Associated with Quaternion Fourier Transform
Dong Cheng, Kit Ian Kou
Quaternion-valued signals along with quaternion Fourier transforms (QFT)provide an effective framework for vector-valued signal and image processing. However, the sampling theory o…