Rational time-frequency multi-window subspace Gabor frames and their Gabor duals

DOI10.1007/s11425-013-4610-4zbMath1304.42082OpenAlexW2009460688MaRDI QIDQ476639

Yun-Zhang Li, Yan Zhang

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4610-4

zbMATH Keywords

framedual Gabor frameGabor frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (7)

A time domain characterization of vector-valued subspace weak Gabor bi-frames ⋮ Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals ⋮ Multi-window dilation-and-modulation frames on the half real line ⋮ Vector-valued Gabor frames associated with periodic subsets of the real line ⋮ Partial Gabor frames and dual frames ⋮ Discrete Gabor frames and \(K\)-discrete Gabor frames ⋮ Discrete subspace multiwindow Gabor frames and their duals

Cites Work

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• Gabor frame sets for subspaces
• Constructive realization of dual systems for generators of multi-window spline-type spaces
• Density results for Gabor systems associated with periodic subsets of the real line
• Gabor systems on discrete periodic sets
• Analysis of multiwindow Gabor-type schemes by frame methods
• Gabor analysis and algorithms. Theory and applications
• Foundations of time-frequency analysis
• Advances in Gabor analysis
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• History and evolution of the density theorem for Gabor frames
• Oblique duals associated with rational subspace Gabor frames
• The duals of Gabor frames on discrete periodic sets
• The wavelet transform, time-frequency localization and signal analysis
• Discrete multi-Gabor expansions
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
• Balian–Low phenomenon for subspace Gabor frames
• Constructive reconstruction from irregular sampling in multi-window spline-type spaces
• TIME-FREQUENCY JIGSAW PUZZLE: ADAPTIVE MULTIWINDOW AND MULTILAYERED GABOR EXPANSIONS
• An introduction to frames and Riesz bases
• Subspace Weyl-Heisenberg frames

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