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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]:0 TC[Scopus]:0 | 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]:10 TC[Scopus]:12 | Submit date:2019/01/17
Quaternion Fourier transforms  multiplication formula  inversion theorem  Plancherel theorem  linear canonical 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]:0 TC[Scopus]:1 | Submit date:2018/10/30
edge detection  Hardy space  Plemelj-Sokhotzkis formulae  quaternion analytic signal  quaternion Fourier transform  
Phase-based edge detection algorithms Conference paper
Mathematical Methods in the Applied Sciences
Authors:  Hu X.-X.;  Kou K.I.
Favorite |  | TC[WOS]:0 TC[Scopus]:1 | Submit date:2019/02/13
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]:3 TC[Scopus]:3 | Submit date:2019/02/13
convolution theorem  generalized sampling expansions  generalized translation  quaternion Fourier transform  quaternion linear canonical transform  Quaternion-valued signals  
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]:0 TC[Scopus]:1 | 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 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]:3 TC[Scopus]:3 | 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]:6 TC[Scopus]:7 | 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]:14 TC[Scopus]:16 | Submit date:2019/02/13
2d Quaternion Wigner–ville Distribution  Linear Frequency Modulation  Quaternion Ambiguity Function  Quaternion Linear Canonical Transform  
Constructing prolate spheroidal quaternion wave functions on the sphere Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 14,Page: 3961-3978
Authors:  Morais,Joao;  Kou,Kit Ian
Favorite |  | TC[WOS]:2 TC[Scopus]:2 | Submit date:2021/03/11
30C65  prolate spheroidal wave functions  quaternionic analysis  quaternionic Fourier transform  quaternionic functions  spherical harmonics  subclass 30G35  the energy concentration problem