Gabor windows supported on \([ - 1, 1]\) and dual windows with small support

DOI10.1007/s10444-011-9189-0zbMath1251.42005OpenAlexW2112125433MaRDI QIDQ452322

Rae Young Kim, Ole Christensen, Hong Oh Kim

Publication date: 20 September 2012

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

Full work available at URL: https://doi.org/10.1007/s10444-011-9189-0

zbMATH Keywords

Gabor frameCompactly supported windowdual window

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Other transformations of harmonic type (42C20)

Related Items (7)

On the Gabor frame set for compactly supported continuous functions ⋮ A sparse analysis window for discrete Gabor transform ⋮ Compactly supported multiwindow dual Gabor frames of rational sampling density ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Structure of nonstationary Gabor frames and their dual systems ⋮ Designing Gabor windows using convex optimization ⋮ Dynamical dual frames with an application to quantization

Cites Work

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• Gabor windows supported on \([-1, 1\) and compactly supported dual windows]
• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• Foundations of time-frequency analysis
• Gabor frames, unimodularity, and window decay
• On dual Gabor frame pairs generated by polynomials
• Pairs of dual Gabor frame generators with compact support and desired frequency localization
• Frames and bases. An introductory course
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)

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