Search Results - "Lian, Qiao Fang"
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Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors
Published in Mathematical methods in the applied sciences (15-11-2023)“…Nonstationary Gabor (NSG) frames for allow for flexible sampling and varying window functions and have found applications in adaptive signal analysis…”
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Super Gabor frames on discrete periodic sets
Published in Advances in computational mathematics (01-05-2013)“…Due to its potential applications in multiplexing techniques such as time division multiple access and frequency division multiple access, superframe has…”
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Gabor frame sets for subspaces
Published in Advances in computational mathematics (01-05-2011)“…This paper investigates Gabor frame sets in a periodic subset of . We characterize tight Gabor sets in , and obtain some necessary/sufficient conditions for a…”
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Time-domain characterization of multiwindow Gabor systems on discrete periodic sets
Published in Indian journal of pure and applied mathematics (01-02-2013)“…This paper addresses multiwindow Gabor systems on discrete periodic sets, which can model signals to appear periodically but intermittently. We give some…”
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Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets
Published in Numerical functional analysis and optimization (01-03-2013)“…The notion of superframe in general Hilbert spaces was introduced in the context of multiplexing, which has been widely used in mobile communication network,…”
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Density Results for Subspace Multiwindow Gabor Systems in the Rational Case
Published in Acta mathematica Sinica. English series (01-05-2013)“…Let S be a periodic set in R and L2(S) be a subspace of L2(R). This paper investigates the density problem for multiwindow Gabor systems in L2(S) for the case…”
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Tight Gabor Sets on Discrete Periodic Sets
Published in Acta applicandae mathematicae (01-07-2009)“…This paper addresses Gabor analysis on a discrete periodic set. Such a scenario can potentially find its applications in signal processing where signals may…”
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The spectrum sequences of periodic frame multiresolution analysis
Published in Acta mathematica Sinica. English series (01-03-2009)“…The periodic multiresolution analysis (PMRA) and the periodic frame multiresolution analysis (PFMRA) provide a general recipe for the construction of periodic…”
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Multi-window Gabor frames and oblique Gabor duals on discrete periodic sets
Published in Science China. Mathematics (01-05-2011)“…Given L, N, M ∈ ℕ and an N ℕ-periodic set in ℤ, let be the closed subspace of l 2 (ℤ) consisting of sequences vanishing outside . For f = { f l : 0 ⩽ l ⩽ L −…”
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Optimized Local Trigonometric Bases with Nonuniform Partitions
Published in Acta mathematica Sinica. English series (01-07-2006)“…The authors provide optimized local trigonometric bases with nonuniform partitions which efficiently compress trigonometric functions. Numerical examples…”
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Wavelets and Wavelet Packets Related to a Class of Dilation Matrices
Published in Acta mathematica Sinica. English series (01-09-2004)“…The construction of wavelets generated from an orthogonal multiresolution analysis can be reduced to the unitary extension of a matrix, which is not easy in…”
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