Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors

DOI10.1002/mma.9476OpenAlexW4383646121MaRDI QIDQ6179583

QiaoFang Lian, Ming-Hou You

Publication date: 16 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9476

zbMATH Keywords

reconstructionapproximately dual framesnonstationary Gabor framesvector-valued spaceadaptive representations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Vector-valued Gabor frames associated with periodic subsets of the real line
• Construction of approximate dual wavelet frames
• Generalized shift-invariant systems and approximately dual frames
• Constructing super Gabor frames: the rational time-frequency lattice case
• Theory, implementation and applications of nonstationary Gabor frames
• A characterization of sparse nonstationary Gabor expansions
• On the structure of Gabor and super Gabor spaces
• Structure of nonstationary Gabor frames and their dual systems
• Approximate dual Gabor atoms via the adjoint lattice method
• Gabor (super)frames with Hermite functions
• Simultaneous estimates for vector-valued Gabor frames of Hermite functions
• Approximately dual Gabor frames and almost perfect reconstruction based on a class of window functions
• Nonlinear approximation with nonstationary Gabor frames
• Vector-valued nonstationary Gabor frames
• Super Gabor frames on discrete periodic sets
• Approximately dual pairs of wavelet frames
• Fourier-like frames on locally compact abelian groups
• Nonstationary Gabor frames -- approximately dual frames and reconstruction errors
• Rational time-frequency super Gabor frames and their duals
• Discrete vector-valued nonuniform Gabor frames
• Nonstationary Gabor frames — Existence and construction
• Approximately dual frame pairs in Hilbert spaces and applications to Gabor frames
• Frames, bases and group representations
• Approximately dual and perturbation results for generalized translation-invariant frames on LCA groups
• Some properties of alternate duals and approximate alternate duals of fusion frames
• An introduction to frames and Riesz bases
• Approximation of dual Gabor frames, window decay, and wireless communications
• Approximate oblique dual frames

This page was built for publication: Approximately dual frames of vector‐valued nonstationary Gabor frames and reconstruction errors