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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  
Solving Quaternion Ordinary Differential Equations with Two-Sided Coefficients Journal article
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018,Volume: 17,Issue: 2,Page: 441-462
Authors:  Cai, Zhen Feng;  Kou, Kit Ian
Favorite | View/Download:20/0 | TC[WOS]:3 TC[Scopus]:3 | Submit date:2018/10/30
Differential Equations  Quaternions  Two-sided Coefficients  Solution  Noncommutativity  
Novel Sampling Formulas Associated with Quaternionic Prolate Spheroidal Wave functions Journal article
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017,Volume: 27,Issue: 4,Page: 2961-2983
Authors:  Cheng, Dong;  Kou, Kit Ian
Favorite | View/Download:25/0 | TC[WOS]:4 TC[Scopus]:5 | Submit date:2018/10/30
Spectral Theorem  Prolate Spheroidal Wave Function  Quaternion Reproducing-kernel Hilbert Spaces  Quaternion Fourier Transform  Whittaker-shannon-kotel'nikov Sampling Formula  
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  
Decomposition approach to the stability of recurrent neural networks with asynchronous time delays in quaternion field Journal article
NEURAL NETWORKS, 2017,Volume: 94,Page: 55-66
Authors:  Zhang, Dandan;  Kou, Kit Ian;  Liu, Yang;  Cao, Jinde
Favorite | View/Download:27/0 | TC[WOS]:35 TC[Scopus]:37 | Submit date:2018/10/30
Global Exponential Stability  Quaternion-valued Neural Network  Asynchronous Time Delay  Linear Matrix Inequality  
Uncertainty principle for measurable sets and signal recovery in quaternion domains Journal article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017,Volume: 40,Issue: 11,Page: 3892-3900
Authors:  Kou, Kit Ian;  Yang, Yan;  Zou, Cuiming
Favorite | View/Download:26/0 | TC[WOS]:6 TC[Scopus]:7 | Submit date:2018/10/30
Signal Recovery  Uncertainty Principle  Quaternion Fourier Transform  
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  
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 J.;  Kou K.I.
Favorite | View/Download:8/0 | TC[WOS]:2 TC[Scopus]:2 | Submit date:2019/02/13
30c65  Prolate Spheroidal Wave Functions  Quaternionic Analysis  Quaternionic Fourier Transform  Quaternionic Functions  Spherical Harmonics  Subclass 30g35  The Energy Concentration Problem