Excesses of Gabor frames

DOI10.1016/S1063-5203(03)00006-XzbMath1028.42021MaRDI QIDQ1399095

Peter G. Casazza, Christopher Heil, Radu Balan, Zeph A. Landau

Publication date: 30 July 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

zbMATH Keywords

waveletsGabor framesexcessGabor systemovercomplete frame

Mathematics Subject Classification ID

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

Related Items

Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\), Symmetrically localized frames and the removal of subsets of positive density, Topology and smooth structure for pseudoframes, The noncommutative Wiener lemma, linear independence, and spectral properties of the algebra of time-frequency shift operators, Density of weighted wavelet frames, Angle criteria for frame sequences and frames containing a Riesz basis, Measure functions for frames, Optimal noise suppression: A geometric nature of pseudoframes for subspaces, Redundancy for localized frames, Remarks on Naimark’s duality

Cites Work

• Unnamed Item
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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• On a new Segal algebra
• Dynamical systems II. Ergodic theory with applications to dynamical systems and statistical mechanics. Transl. from the Russian
• Gabor frames and time-frequency analysis of distributions
• Foundations of time-frequency analysis
• Density of Gabor frames
• The Balian-Low theorem for symplectic lattices in higher dimensions
• Deficits and excesses of frames
• The uniformity of non-uniform Gabor bases
• Incompleteness of sparse coherent states
• The analysis and design of windowed Fourier frame based multiple description source coding schemes
• Ten Lectures on Wavelets
• Geometrically uniform frames
• Continuous and Discrete Wavelet Transforms
• A Class of Nonharmonic Fourier Series
• Quantized frame expansions with erasures