Nonstationary Gabor frames — Existence and construction

DOI10.1142/S0219691314500325zbMath1345.42030arXiv1112.5262MaRDI QIDQ2875672

Ewa Matusiak, Monika Dörfler

Publication date: 11 August 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5262

zbMATH Keywords

existenceirregular Gabor framesadaptive representationsnonorthogonal expansions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (9)

Nonlinear approximation with nonstationary Gabor frames ⋮ Sampling time-frequency localized functions and constructing localized time-frequency frames ⋮ Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ A characterization of sparse nonstationary Gabor expansions ⋮ Vector-valued nonstationary Gabor frames ⋮ A class of warped filter bank frames tailored to non-linear frequency scales ⋮ Structure of nonstationary Gabor frames and their dual systems ⋮ Continuous warped time-frequency representations. Coorbit spaces and discretization ⋮ Nonstationary Gabor frames -- approximately dual frames and reconstruction errors

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