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Convolution theorems associated with quaternion linear canonical transform and applications Journal article, 2022
Authors:  Xiaoxiao Hu;  Dong Cheng;  Kit Ian Kou
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/08/24
Quaternion Linear Canonical Transform  Convolution Theorem  Fredholm Integral Equation  Quaternion Partial Differential Equations  Multiplication Filters  
Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transforms 基于四元数傅里叶变换和线性正则变换的二维四元数信号采样定理 Journal article
Frontiers of Information Technology and Electronic Engineering, 2022,Volume: 23,Issue: 3,Page: 463-478
Authors:  Hu, Xiaoxiao;  Cheng, Dong;  Kou, Kit Ian
Favorite |  | TC[WOS]:1 TC[Scopus]:0 | Submit date:2022/05/13
Generalized Quaternion Partial And Total Hilbert Transforms  O236  Quaternion Fourier Transforms  Quaternion Linear Canonical Transforms  Quaternion Partial And Total Hilbert Transforms  Sampling Theorem  Truncation Errors  
Sampling formulas for non-bandlimited quaternionic signals Journal article
Signal, Image and Video Processing, 2022
Authors:  Hu, Xiaoxiao;  Kou, Kit Ian
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/05/17
Non-bandlimited Quaternionic Signal  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  
Uncertainty principles associated with quaternionic linear canonical transforms Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 10,Page: 2722-2736
Authors:  Kou K.I.;  Ou J.;  Morais J.
Favorite |  | TC[WOS]:21 TC[Scopus]:25 | Submit date:2019/02/13
Gaussian Quaternionic Signal  Hypercomplex Functions  Quantum Mechanics  Quaternion Analysis  Quaternionic Fourier Transform  Quaternionic Linear Canonical Transform  Uncertainly Principle  
Asymptotic Behaviour of the Quaternion Linear Canonical Tlansform and the Bochner-Minlos Theorem Journal article
Applied Mathematics and Computation, 2014,Page: 675-688
Authors:  Kou, K. I.;  Morais, J.
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/08/24
Quaternionic analysis  Quaternion linear canonical transform  Asymptotic behaviour  Positive definitely measure  Bochner–Minlos theorem  
Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem Journal article
Applied Mathematics and Computation, 2014,Volume: 247,Page: 675-688
Authors:  Kou K.I.;  Morais J.
Favorite |  | TC[WOS]:38 TC[Scopus]:44 | Submit date:2019/02/13
Asymptotic Behaviour  Bochner-minlos Theorem  Positive Definitely Measure  Quaternion Linear Canonical Transform  Quaternionic Analysis  
On uncertainty principle for quaternionic linear canonical transform Journal article
Abstract and Applied Analysis, 2013,Volume: 2013
Authors:  Kou K.I.;  Ou J.-Y.;  Morais J.
Favorite |  | TC[WOS]:48 TC[Scopus]:65 | Submit date:2018/10/30