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Greedy Algorithms and Rational Approximation in One and Several Variables Book chapter
出自: Modern Trends in Hypercomplex Analysis:Birkhäuser, Cham, 2016, 页码: 19-33
Authors:  Laurent Baratchart;  Wei-Xiong Mai;  Tao Qian
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Rational Orthogonal System  Takenaka–malmquist System  Szeg˝o Kernel  Hardy Spaces  
Two-dimensional adaptive Fourier decomposition Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 10,Page: 2431-2448
Authors:  Tao Qian
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Complex Hardy Space  Greedy Algorithm  Induced Complete Dictionary  Instantaneous Frequency  Multiple Fourier Series  Product-szegö Dictionary  Product-tm System  Rational Orthogonal System  Several Complex Variables  Signal Analysis  Systems Identification  Takenaka–malmquist System  
The AFD methods to compute Hilbert transform Journal article
Applied Mathematics Letters, 2015,Volume: 45,Page: 18-24
Authors:  Mo Y.;  Qian T.;  Mai W.;  Chen Q.
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Adaptive  Fourier Decomposition  Hardy Space  Hilbert Transform  Orthogonal Rational System  Takenaka-malmquist System  
Adaptive Fourier decompositions and rational approximations, part I: Theory Journal article
International Journal of Wavelets, Multiresolution and Information Processing, 2014,Volume: 12,Issue: 5
Authors:  Qian T.
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Adaptive Fourier Decomposition  Blaschke Form  Digital Signal Processing  Hardy Space  Mono-component  Möbius Transform  Rational Approximation  Rational Orthogonal System  Time-frequency Distribution  Uncertainty Principle  
Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis Journal article
Applied Mathematics, 2013,Volume: 28,Issue: 4,Page: 505-530
Authors:  Qian T.;  Zhang L.-M.
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Adaptive Fourier Decomposition  Blaschke Form  Digital Signal Processing  Hardy Space  Higher Dimensional Signal Analysis In Several Complex Variables And The Clifford Algebra settIng  Möbius Transform  Mono-component  Rational Approximation  Rational Orthogonal System  Time-frequency Distribution  Uncertainty Principle  
Remarks on adaptive fourier decomposition Journal article
International Journal of Wavelets, Multiresolution and Information Processing, 2013,Volume: 11,Issue: 1
Authors:  Qian T.;  Wang Y.
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Adaptive Fourier Series  Cauchy Kernel  Dictionary  Maximal Selection Principle  Orthogonal Greedy Algorithm  
Optimal approximation by Blaschke forms Journal article
Complex Variables and Elliptic Equations, 2013,Volume: 58,Issue: 1,Page: 123-133
Authors:  Qian T.;  Wegert E.
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Adaptive Decomposition  Analytic Signal  Instantaneous Frequency  Mono-components  Rational Approximation  Rational Orthogonal System  Takenaka-malmquist System  
Adaptive Fourier decomposition of functions in quaternionic Hardy spaces Journal article
Mathematical Methods in the Applied Sciences, 2012,Volume: 35,Issue: 1,Page: 43-64
Authors:  Qian T.;  Sprossig W.;  Wang J.
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Adaptive Decomposition  Blaschke Product  Fourier-laplace Series  Greedy Algorithm  Hardy Space  Optimal Approximation By Rational Functions  Quaternionic Holomorphic  Spherical Harmonics  Takenaka-malmquist System  
A fast adaptive model reduction method based on Takenaka-Malmquist systems Journal article
Systems and Control Letters, 2012,Volume: 61,Issue: 1,Page: 223
Authors:  Mi W.;  Qian T.;  Wan F.
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Best Approximation  Impulse Response Energy  Model Order Reduction  Rational Approximation  Takenakamalmquist Basis  
Algorithm of adaptive fourier decomposition Journal article
IEEE Transactions on Signal Processing, 2011,Volume: 59,Issue: 12,Page: 5899-5906
Authors:  Qian T.;  Zhang L.;  Li Z.
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Adaptive Decomposition  Rational Orthogonal System  Mono-components  Matching Pursuit  Instantaneous Frequency  Hilbert Transform  Hardy Spaces  Greedy Algorithm  Analytic Signal