On the stability of Gabor frames

DOI10.1006/aama.2000.0715zbMath0979.42020OpenAlexW2062420816MaRDI QIDQ5933468

Wen-chang Sun, Xing-Wei Zhou

Publication date: 5 February 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.2000.0715

zbMATH Keywords

stabilityperturbationframesGabor frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items

Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\), Stability of \(g\)-frames, Dual generators for weighted irregular wavelet frames and reconstruction error, Sufficient conditions for irregular Gabor frames, Stability results for Gabor frames and the \(p\)-order hold models, The effect of perturbations of frames on their alternate and approximately dual frames, Varying the time-frequency lattice of Gabor frames, On perturbations of irregular Gabor frames, Asymptotic properties of Gabor frame operators as sampling density tends to infinity, On stability of g-frames and g-Riesz bases in Hilbert C*-modules, Perturbation of frame sequences in shift-invariant spaces, Irregular wavelet/Gabor frames

Cites Work

• Perturbation of operators and applications to frame theory
• Gabor time-frequency lattices and the Wexler-Raz identity
• On the stability of frames and Riesz bases
• Moment problems and stability results for frames with applications to irregular sampling and Gabor frames
• Frames in the bargmann space of entire functions
• The wavelet transform, time-frequency localization and signal analysis
• Ten Lectures on Wavelets
• A Paley-Wiener Theorem for Frames
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