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Sampling formulas for non-bandlimited quaternionic signals Journal article
Signal Image and Video Processing, 2022,Volume: 16,Issue: 6,Page: 1559-1567
Authors:  Xiaoxiao Hu;  Kit Ian Kou
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2022/10/05
Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Non-bandlimited Quaternionic Signal  
Convolution theorems associated with quaternion linear canonical transform and applications Journal article
https://www.sciencedirect.com/science/article/abs/pii/S0165168422002821, 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 non-bandlimited quaternionic signals Journal article
Signal, Image and Video Processing, 2022,Volume: 16,Issue: 6,Page: 1559-1567
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  
Plancherel Theorems of Quaternion Hilbert Transforms Associated with Linear Canonical Transforms Journal article
Advances in Applied Clifford Algebras, 2020,Volume: 30,Issue: 1
Authors:  Kou,Kit Ian;  Liu,Ming Sheng;  Zou,Cuiming
Favorite |  | TC[WOS]:2 TC[Scopus]:3 | Submit date:2021/03/11
Analytic Signal  Hilbert Transform  Instantaneous Amplitude  Quaternion Fourier Transform  Quaternion Hilbert Transform  Quaternion Linear Canonical Transform  
Plancherel theorem and quaternion Fourier transform for square integrable functions Journal article
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019,Volume: 64,Issue: 2,Page: 223-242
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite |  | TC[WOS]:14 TC[Scopus]:16 | Submit date:2019/01/17
Quaternion Fourier Transforms  Multiplication Formula  Inversion Theorem  Plancherel Theorem  Linear Canonical Transform  
Generalized sampling expansions associated with quaternion Fourier transform Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Cheng D.;  Kou K.I.
Favorite |  | TC[WOS]:9 TC[Scopus]:9 | Submit date:2019/02/13
convolution theorem  generalized sampling expansions  generalized translation  quaternion Fourier transform  quaternion linear canonical transform  Quaternion-valued signals  
Generalized sampling expansions associated with quaternion Fourier transform Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4021-4032
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite |  | TC[WOS]:9 TC[Scopus]:9 | Submit date:2018/10/30
Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
Envelope detection using generalized analytic signal in 2D QLCT domains Journal article
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2017,Volume: 28,Issue: 4,Page: 1343-1366
Authors:  Kou, Kit Ian;  Liu, Ming-Sheng;  Pedro Morais, Joao;  Zou, Cuiming
Favorite |  | TC[WOS]:10 TC[Scopus]:11 | Submit date:2018/10/30
Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Hilbert Transform  Analytic Signal  Instantaneous Amplitude  
Quaternion Wigner–Ville distribution associated with the linear canonical transforms Journal article
Signal Processing, 2017,Volume: 130,Page: 129-141
Authors:  Fan X.-L.;  Kou K.I.;  Liu M.-S.
Favorite |  | TC[WOS]:19 TC[Scopus]:23 | Submit date:2019/02/13
2d Quaternion Wigner–ville Distribution  Linear Frequency Modulation  Quaternion Ambiguity Function  Quaternion Linear Canonical Transform  
Herglotz's theorem and quaternion series of positive term Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 18,Page: 5607-5618
Authors:  Kou,Kit Ian;  Liu,Ming Sheng;  Tao,Shu Zhen
Favorite |  | TC[WOS]:3 TC[Scopus]:4 | Submit date:2021/03/11
Herglotz's theorem  the (two-sided) quaternion linear canonical transform  the positive-definite quaternion function  the positive-definite quaternion sequence  the quaternion infinite series of positive term