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How to catch smoothing properties and analyticity of functions by computers? Book
2014
Authors:  Castro L.P.;  Fujiwara H.;  Qian T.;  Saitoh S.
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Analyticity  Aveiro discretization  Band preserving  Multiplyprecision  Numerical experiment  Phase retrieval  Reproducing kernel  Sobolev space  
Comparison of adaptive mono-component decompositions Journal article
Nonlinear Analysis: Real World Applications, 2013,Volume: 14,Issue: 2,Page: 1055-1074
Authors:  Qian T.;  Li H.;  Stessin M.
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Adaptive Fourier Decomposition  Dictionary  Inner Function  Maximal Selection Principle  Nevanlinna Factorization Theorem  Orthogonal Greedy Algorithm  Outer Function  Reproducing Kernel  
Instantaneous frequencies of simple waves and their application to sleep spindle detection Conference paper
Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, Anchorage, AK, OCT 09-12, 2011
Authors:  Zhang L.;  Li H.;  Wei Y.;  Qian T.
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Eeg  Instantaneous Frequency  Sleep Spindle  Wavelet Decomposition  
Orthonormal bases with nonlinear phases Journal article
Advances in Computational Mathematics, 2010,Volume: 33,Issue: 1,Page: 75-95
Authors:  Qian T.;  Wang R.;  Xu Y.;  Zhang H.
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Hardy Spaces  Orthonormal Bases  The Empirical Mode Decomposition  The Hilbert Transform  Time-frequency Analysis  
Discrete-time analytic signals and Bedrosian product theorems Journal article
Digital Signal Processing: A Review Journal, 2010,Volume: 20,Issue: 4,Page: 982-990
Authors:  Li H.;  Li L.;  Qian T.
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Bedrosian Product Theorem  Discrete Hilbert Transform  Discrete-time Analytic Signal