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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  
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]:1 TC[Scopus]:1 | 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]:15 | Submit date：2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical transform  
Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
Favorite |  | TC[WOS]:5 TC[Scopus]:6 | Submit date：2019/02/13
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Phase-based edge detection algorithms Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
Favorite |  | TC[WOS]:5 TC[Scopus]:6 | Submit date：2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Phase-based edge detection algorithms Journal article
Mathematical Methods in the Applied Sciences, 2018,Volume: 41,Issue: 11,Page: 4148-4169
Authors:  Hu，Xiao Xiao;  Kou，Kit Ian
Favorite |  | TC[WOS]:5 TC[Scopus]:6 | Submit date：2021/03/11
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier 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]:7 TC[Scopus]:7 | 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]:7 TC[Scopus]:7 | 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