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Characterizations of Mono-Components: the Blaschke and Starlike Types Journal article
COMPLEX ANALYSIS AND OPERATOR THEORY, 2018,Volume: 12,Issue: 6,Page: 1383-1399
Authors:  Qian, Tao;  Tan, Lihui
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Circular Analytic Signal  Mono-component  Blaschke Product  Bedrosian Identity  Multivalent Starlike Functions  Boundary Starlike Functions  
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
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Analytic Signal  Dual Framelets  Sobolev Space  Adjustable Sampling System  Approximation Order  Dnumerical Singularity  
FFT formulations of adaptive Fourier decomposition Journal article
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017,Volume: 324,Page: 204-215
Authors:  Gao, You;  Ku, Min;  Qian, Tao;  Wang, Jianzhong
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Fast Fourier Transform  Computational Complexity  Adaptive Decomposition  Greedy Algorithm  Reproducing Kernel Hilbert Space  
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  
Consecutive minimum phase expansion of physically realizable signals with applications Journal article
Mathematical Methods in the Applied Sciences, 2016,Volume: 39,Issue: 1,Page: 62-72
Authors:  Mai W.;  Dang P.;  Zhang L.;  Qian T.
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Blaschke Product  Dirac Type Time-frequency Distribution  Unwinding Afd  
Space-frequency analysis in higher dimensions and applications Journal article
Annali di Matematica Pura ed Applicata, 2015,Volume: 194,Issue: 4,Page: 953-968
Authors:  Yang Y.;  Dang P.;  Qian T.
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Frequency  Gauss Kernel  Hilbert Transform  Monogenic Signals  Poisson Kernel  UncertaInty PrInciple In Higher Dimensions  
New aspects of Beurling-Lax shift invariant subspaces Journal article
Applied Mathematics and Computation, 2015,Volume: 256,Page: 257-266
Authors:  Tan L.;  Qian T.;  Chen Q.
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Backward Shift Invariant Subspace  Band Preserving Problem  Bedrosian Identity  Forward Shift Invariant Subspace  
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  
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  
On sparse representation of analytic signal in Hardy space Journal article
Mathematical Methods in the Applied Sciences, 2013,Volume: 36,Issue: 17,Page: 2297-2310
Authors:  Li S.;  Qian T.
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ℓ1- Minimization  Compressed Sensing  Hardy Space  Reproducing Kernels  Singular Value  Sparse Representation