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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
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Quaternion-valued Signals  Quaternion Fourier Transform  Quaternion Linear Canonical Transform  Generalized Sampling Expansions  Generalized Translation  Convolution Theorem  
Realized Laplace Transform of Volatility with Microstructure Noise Journal article
Scandinavian Journal of Statistics, 2018
Authors:  Li Wang;  Zhi Liu;  Xiaochao Xia
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High-frequency Data  Stable Convergence  Laplace Transform Of Volatility  Microstructure Noise  Pre-averaging  
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
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Spectral Theorem  Prolate Spheroidal Wave Function  Quaternion Reproducing-kernel Hilbert Spaces  Quaternion Fourier Transform  Whittaker-shannon-kotel'nikov Sampling Formula  
On integrated volatility of Itô semimartingales when sampling times are endogenous Journal article
Communications in Statistics - Theory and Methods, 2014,Volume: 43,Issue: 24,Page: 5263-5275
Authors:  Li C.-X.;  Chen J.-Y.;  Liu Z.;  Jing B.-Y.
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Central Limit Theorem  Endogeneity  High Frequency Data  Ito  Jumps  Semimartingale  
Characteristics analysis of wavelet coefficients and its applications in image compression Journal article
International Journal of Wavelets, Multiresolution and Information Processing, 2014,Volume: 12,Issue: 3
Authors:  Fangnian Lang;  Jiliu Zhou;  Yuan Yan Tang;  Hongnian Yu;  Shuang Cang;  Zhaowei Shang
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Jpeg2000  Sampling Theorem  Wavelet Basis  Wavelet Coefficient  Wavelet Reproducing Kernel Function  
Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions Journal article
Applicable Analysis, 2014,Volume: 93,Issue: 2,Page: 305-315
Authors:  Li Y.;  Chen Q.;  Qian T.;  Wang Y.
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Generalized Sinc Function  Noisy Error  Non-bandlimited Signal  Reproducing Property  Sampling Theorem  Sobolev Smoothness  Truncated Error  
Shannon-type sampling for multivariate non-bandlimited signals Journal article
Science China Mathematics, 2013,Volume: 56,Issue: 9,Page: 1915-1934
Authors:  Chen Q.H.;  Qian T.;  Li Y.F.
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Analytic Function  Fourier Transform  Radial Bessel-sinc Function  Shannon Sampling  
Paley-Wiener theorems and uncertainty principles for the windowed linear canonical transform Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 17,Page: 2122-2132
Authors:  Kou K.-I.;  Xu R.-H.;  Zhang Y.-H.
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Linear Canonical Transform  Paley-wiener Theorem  Uncertainty Principle  Windowed Linear Canonical Transform  
B-splines of Blaschke product type Journal article
Computers and Mathematics with Applications, 2011,Volume: 62,Issue: 10,Page: 3669-3681
Authors:  Chen Q.;  Qian T.;  Ren G.;  Wang Y.
Favorite  |  View/Download:5/0  |  Submit date:2019/02/11
B-spline  Blaschke Product  Central Limit Theorem  Fourier Transform  Sinc Function