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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：9/0 | 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：9/0 | 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：2/0 | 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.
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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：12/0 | 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：13/0 | 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：9/0 | 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：2/0 | 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.
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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：2/0 | Submit date：2019/02/13
Gaussian Quaternionic Signal Hypercomplex Functions Quantum Mechanics Quaternion Analysis Quaternionic Fourier Transform Quaternionic Linear Canonical Transform Uncertainly Principle |
