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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  
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  
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 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]:13 TC[Scopus]:15 | 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]:11 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  
Asymptotic behaviour of the quaternion linear canonical transform and the Bochner-Minlos theorem Journal article
Applied Mathematics and Computation, 2014,Volume: 247,Page: 675-688
Authors:  Kou K.I.;  Morais J.
Favorite | View/Download:10/0 | TC[WOS]:18 TC[Scopus]:27 | Submit date:2019/02/13
Asymptotic Behaviour  Bochner-minlos Theorem  Positive Definitely Measure  Quaternion Linear Canonical Transform  Quaternionic Analysis  
Uncertainty principles for hypercomplex signals in the linear canonical transform domains Journal article
Signal Processing, 2014,Volume: 95,Page: 67
Authors:  Yang Y.;  Ian Kou K.
Favorite | View/Download:5/0 | TC[WOS]:28 TC[Scopus]:41 | Submit date:2018/10/30
Gaussian Signals  Hypercomplex Signals  Linear Canonical Transform  Uncertainty Principle  
A tighter uncertainty principle for linear canonical transform in terms of phase derivative Journal article
IEEE Transactions on Signal Processing, 2013,Volume: 61,Issue: 21,Page: 5153-5164
Authors:  Dang P.;  Deng G.-T.;  Qian T.
Favorite | View/Download:8/0 | TC[WOS]:27 TC[Scopus]:35 | Submit date:2019/02/11
Complex Signal  Fractional Fourier Transform  Linear Canonical Transform (Lct)  Uncertainty Principle