Approximations for Gabor and wavelet frames

DOI10.1090/S0002-9947-03-03047-2zbMath1021.42021MaRDI QIDQ4806487

De Guang Han

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

approximationGabor framenormalized tight framesemi-orthogonal wavelet frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (18)

Tight frame approximation for multi-frames and super-frames ⋮ \(K\)-fusion frames and the corresponding generators for unitary systems ⋮ Unitary Systems and Bessel Generator Multipliers ⋮ Gabor duals for operator-valued Gabor frames on locally compact abelian groups ⋮ Frame representations and Parseval duals with applications to Gabor frames ⋮ Dilations of dual \(g\)-frame generators for an abstract wavelet system ⋮ Operator valued frames and structured quantum channels ⋮ Functional Gabor frame multipliers ⋮ Approximation by partial isometries and symmetric approximation of finite frames ⋮ Global symmetric approximation of frames ⋮ Characterization of alternate duals of continuous frames and representation frames ⋮ Optimal dual frames for erasures. II ⋮ The existence of tight Gabor duals for Gabor frames and subspace Gabor frames ⋮ Dilations and completions for Gabor systems ⋮ Frame fundamental sensor modeling and stability of one-sided frame perturbation ⋮ On the orthogonality of frames and the density and connectivity of wavelet frames ⋮ Optimal dual frames for erasures ⋮ Discrete Gabor frames in $\ell ^2(\mathbb {Z}^d)$

Cites Work

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• Von Neumann algebras associated with pairs of lattices in Lie groups
• Unitary approximation of positive operators
• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• Gabor analysis and algorithms. Theory and applications
• Gabor time-frequency lattices and the Wexler-Raz identity
• The art of frame theory
• Characterization and computation of canonical tight windows for Gabor frames
• Density of Gabor frames
• Finite normalized tight frames
• Equal-norm tight frames with erasures
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• Incompleteness of sparse coherent states
• Symmetric approximation of frames and bases in Hilbert spaces
• Linear Algebra and Quantum Chemistry
• Ten Lectures on Wavelets
• Wandering vectors for unitary systems and orthogonal wavelets
• Equivalence relations and distances between Hilbert frames
• Wandering vectors for irrational rotation unitary systems
• Frames, bases and group representations
• Subspace Weyl-Heisenberg frames
• Lattice tiling and the Weyl-Heisenberg frames

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