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Reconstruction of analytic signal in Sobolev space by framelet sampling approximation Journal article
APPLICABLE ANALYSIS, 2018,Volume: 97,Issue: 2,Page: 194-209
Authors:  Li, Youfa;  Qian, Tao
Favorite  |  View/Download:28/0  |  Submit date:2018/10/30
Analytic Signal  Dual Framelets  Sobolev Space  Adjustable Sampling System  Approximation Order  Dnumerical Singularity  
Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces Journal article
Journal of Mathematical Analysis and Applications, 2016,Volume: 437,Issue: 2,Page: 912-940
Authors:  Pei Dang;  Tao Qian;  Yan Yang
Favorite  |  View/Download:6/0  |  Submit date:2019/02/11
Amplitude Derivative  Hilbert Transform  Phase Derivative  Signals In Euclidean Spaces  Uncertainty Principle  
Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem Journal article
Applied Mathematics and Computation, 2014,Volume: 245,Page: 509-519
Authors:  Mo Y.;  Qian T.
Favorite  |  View/Download:3/0  |  Submit date:2019/02/11
Dirichlet Problem  Gaussian Rkhs  Reproducing Kernel  Sobolev Space  Support Vector Machine  Tikhonov Regularization  
How to catch smoothing properties and analyticity of functions by computers? Book
2014
Authors:  Castro L.P.;  Fujiwara H.;  Qian T.;  Saitoh S.
Favorite  |  View/Download:2/0  |  Submit date:2019/02/11
Analyticity  Aveiro discretization  Band preserving  Multiplyprecision  Numerical experiment  Phase retrieval  Reproducing kernel  Sobolev space  
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.
Favorite  |  View/Download:4/0  |  Submit date:2019/02/11
Generalized Sinc Function  Noisy Error  Non-bandlimited Signal  Reproducing Property  Sampling Theorem  Sobolev Smoothness  Truncated Error  
Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces Journal article
Nonlinear Analysis, Theory, Methods and Applications, 2014,Volume: 95,Page: 436-449
Authors:  Li P.;  Qian T.
Favorite  |  View/Download:3/0  |  Submit date:2019/02/11
Fourier Multiplier  Hardy-sobolev Spaces  Quaternionic Space  Singular Integral  Starlike Lipschitz Surface  
Transient time-frequency distribution based on mono-component decompositions Journal article
International Journal of Wavelets, Multiresolution and Information Processing, 2013,Volume: 11,Issue: 3
Authors:  Dang P.;  Qian T.;  Guo Y.Y.
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Analytic Phase Derivaive  Analytic Signal  Hardy Space  Hardy-sobolev Space  Hilbert Transform  Instantaneous Frequency  Time-frequency Distribution Of Signal  
Hardy–Sobolev derivatives of phase andamplitude, and their applications Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 17,Page: 2017–2030
Authors:  Pei Dang;  Tao Qian;  Yan Yang
Favorite  |  View/Download:17/0  |  Submit date:2019/06/17
Amplitude-phase Representation Of Signal  Derivatives Of Phase Andamplitude  Sobolev Space  Hardy Space  Hilbert Transform  Instantaneous Frequency  
Analytic phase derivatives, all-pass filters and signals of minimum phase Journal article
IEEE Transactions on Signal Processing, 2011,Volume: 59,Issue: 10,Page: 4708
Authors:  Dang P.;  Qian T.
Favorite  |  View/Download:7/0  |  Submit date:2018/10/30
All-pass Filter  Amplitude-phase Representation Of Signal  Analytic Signal  Blaschke Product  Hardy Space  Hardy-sobolev Space  Hilbert Transform  Inner Function  Instantaneous Frequency  Minimum Phase Signal  Outer Function  
Hardy-Sobolev Spaces Decomposition in Signal Analysis Journal article
Journal of Fourier Analysis and Applications, 2011,Volume: 17,Issue: 1,Page: 36
Authors:  Dang P.;  Qian T.;  You Z.
Favorite  |  View/Download:3/0  |  Submit date:2018/10/30
Amplitude-phase Representation Of Signal  Covariance  Hardy Space  Hardy-sobolev Space  Hilbert Transform  Mean Of Frequency  Mean Of Time  Phase Derivative  Sobolev Space  Uncertainty Principle