Nonlinear approximation with nonstationary Gabor frames

DOI10.1007/s10444-017-9577-1zbMath1394.41006arXiv1704.07176OpenAlexW2951809272MaRDI QIDQ1670412

Peng Zhang

Publication date: 5 September 2018

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

Full work available at URL: https://arxiv.org/abs/1704.07176

zbMATH Keywords

time-frequency analysisnonlinear approximationdecomposition spacesnonstationary Gabor framessparse frame expansions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) General harmonic expansions, frames (42C15)

Related Items

System bandwidth and the existence of generalized shift-invariant frames, Partial Gabor frames and dual frames, Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors

Uses Software

• LTFAT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A mathematical introduction to compressive sensing
• The restricted isometry property for time-frequency structured random matrices
• Theory, implementation and applications of nonstationary Gabor frames
• Quilted Gabor frames - a new concept for adaptive time-frequency representation
• Structure of nonstationary Gabor frames and their dual systems
• Generalized shift-invariant systems
• Nonlinear approximation with dictionaries. II: Inverse estimates
• On anisotropic Triebel-Lizorkin type spaces, with applications to the study of pseudo-differential operators
• Theory of function spaces
• Frame decomposition of decomposition spaces
• Analysis of multiwindow Gabor-type schemes by frame methods
• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• A unified characterization of reproducing systems generated by a finite family. II
• Nonlinear approximation with local Fourier bases
• Foundations of time-frequency analysis
• Nonlinear approximation with dictionaries. I: Direct estimates
• Jackson and Bernstein-type inequalities for families of commutative operators in Banach spaces
• Nonstationary Gabor frames — Existence and construction
• Banach Spaces of Distributions Defined by Decomposition Methods, I
• Banach Spaces of Distributions Defined by Decomposition Methods II
• Painless nonorthogonal expansions
• TIME-FREQUENCY JIGSAW PUZZLE: ADAPTIVE MULTIWINDOW AND MULTILAYERED GABOR EXPANSIONS
• An introduction to frames and Riesz bases