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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:18/0 | 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 | View/Download:21/0 | 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]: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 |
| 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:22/0 | 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 | View/Download:26/0 | 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 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:23/0 | TC[WOS]:3 TC[Scopus]:5 | 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:12/0 | 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 |
| 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 |
| 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 | View/Download:10/0 | TC[WOS]:16 TC[Scopus]:18 | Submit date:2019/02/13 Gaussian Quaternionic Signal Hypercomplex Functions Quantum Mechanics Quaternion Analysis Quaternionic Fourier Transform Quaternionic Linear Canonical Transform Uncertainly Principle |