Theory, implementation and applications of nonstationary Gabor frames
From MaRDI portal
Publication:654765
DOI10.1016/j.cam.2011.09.011zbMath1236.94026OpenAlexW1971405647WikidataQ30471367 ScholiaQ30471367MaRDI QIDQ654765
Publication date: 21 December 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.09.011
Related Items (38)
THE LINEAR TIME FREQUENCY ANALYSIS TOOLBOX ⋮ System bandwidth and the existence of generalized shift-invariant frames ⋮ Reproducing pairs and the continuous nonstationary Gabor transform on LCA groups ⋮ \(\boldsymbol{G}\)-duals of continuous \(\boldsymbol{G}\)-frames and their perturbations ⋮ Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules ⋮ Continuous Empirical Wavelets Systems ⋮ Explicit constructions and properties of generalized shift-invariant systems in \(L^{2}(\mathbb {R})\) ⋮ Nonlinear approximation with nonstationary Gabor frames ⋮ Convex optimization approach to signals with fast varying instantaneous frequency ⋮ Audio Inpainting Using M-Frames ⋮ Matrix-valued nonstationary frames associated with the Weyl–Heisenberg group and the extended affine group ⋮ Carrier Frequencies, Holomorphy, and Unwinding ⋮ Double preconditioning for Gabor frame operators: algebraic, functional analytic and numerical aspects ⋮ Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors ⋮ Window-dependent bases for efficient representations of the Stockwell transform ⋮ Efficient algorithms for the discrete Gabor transform with a long FIR window ⋮ On the relation of the frame-related operators of fusion frame systems ⋮ Construction of approximate dual wavelet frames ⋮ Irregular multiresolution analysis and associated wavelet ⋮ A characterization of sparse nonstationary Gabor expansions ⋮ Wave-shape function analysis. When cepstrum meets time-frequency analysis ⋮ Weak Gabor bi-frames on periodic subsets of the real line ⋮ Quilted Gabor frames - a new concept for adaptive time-frequency representation ⋮ 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 ⋮ An optimally concentrated Gabor transform for localized time-frequency components ⋮ A new generalized projection and its application to acceleration of audio declipping ⋮ Gabor Expansions of Signals: Computational Aspects and Open Questions ⋮ g-frames and their generalized multipliers in Hilbert spaces ⋮ Properties of bounded representations for \(G\)-frames ⋮ Designing Gabor windows using convex optimization ⋮ Continuous warped time-frequency representations. Coorbit spaces and discretization ⋮ G-frame representations with bounded operators ⋮ Nonstationary Gabor frames -- approximately dual frames and reconstruction errors ⋮ Frames, their relatives and reproducing kernel Hilbert spaces ⋮ Nonstationary Gabor frames — Existence and construction ⋮ Discrete Wavelet Transforms in the Large Time-Frequency Analysis Toolbox for MATLAB/GNU Octave
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quilted Gabor frames - a new concept for adaptive time-frequency representation
- Wavelet bi-frames with few generators from multivariate refinable functions
- Nonlinear approximation schemes associated with nonseparable wavelet bi-frames
- Gabor analysis and algorithms. Theory and applications
- The art of frame theory
- Foundations of time-frequency analysis
- Gabor frames over irregular lattices
- Localization of frames, Banach frames, and the invertibility of the frame operator
- On multivariate compactly supported bi-frames
- Painless nonorthogonal expansions
- Ten Lectures on Wavelets
- Frequency-Domain Design of Overcomplete Rational-Dilation Wavelet Transforms
- Superposition Frames for Adaptive Time-Frequency Analysis and Fast Reconstruction
- Adapted local trigonometric transforms and speech processing
- TIME-FREQUENCY JIGSAW PUZZLE: ADAPTIVE MULTIWINDOW AND MULTILAYERED GABOR EXPANSIONS
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
This page was built for publication: Theory, implementation and applications of nonstationary Gabor frames
