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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 | View/Download:16/0 | TC[WOS]:8 TC[Scopus]:11 | 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 Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018,Volume: 41,Issue: 11,Page: 4021-4032
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download:20/0 | TC[WOS]:2 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  
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 | View/Download:18/0 | 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 | View/Download:12/0 | 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 | View/Download:6/0 | TC[WOS]:2 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  
Parseval transforms for finite frames Journal article
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2018,Volume: 16,Issue: 3
Authors:  Zheng, Xianwei;  Yang, Shouzhi;  Tang, Yuan Yan;  Li, Youfa
Favorite | View/Download:22/0 | TC[WOS]:2 TC[Scopus]:1 | Submit date:2018/10/30
Frames  Parseval transform  right regular Parseval transform matrix (RRPTM)  left Parseval transform matrix (LPTM)  RGS Parseval frames  canonical Parseval frame  
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 | View/Download:25/0 | TC[WOS]:5 TC[Scopus]:7 | Submit date:2018/10/30
Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Hilbert Transform  Analytic Signal  Instantaneous Amplitude  
Quaternion Fourier and linear canonical inversion theorems Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 7,Page: 2421-2440
Authors:  Hu, Xiao-Xiao;  Kou, Kit Ian
Favorite | View/Download:22/0 | TC[WOS]:2 TC[Scopus]:4 | Submit date:2018/10/30
Inversion Theorem  Functions Of Bound Variation  Quaternion Fourier Transform  
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 | View/Download:11/0 | TC[WOS]:13 TC[Scopus]:14 | 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 K.I.;  Liu M.-S.;  Tao S.-Z.
Favorite | View/Download:6/0 | TC[WOS]:1 TC[Scopus]:2 | Submit date:2019/02/13
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