Gabor frames with trigonometric spline dual windows

DOI10.1142/S1793557115500722zbMath1401.42034MaRDI QIDQ3462003

Inmi Kim

Publication date: 4 January 2016

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gabor frameGabor dual windowstrigonometric spline dual windows

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items (9)

On the Gabor frame set for compactly supported continuous functions ⋮ On partition of unities generated by entire functions and Gabor frames in \( L^2(\mathbb R^d) \) and \(\ell^2(\mathbb Z^d)\) ⋮ Spline function generating Gabor systems on the half real line ⋮ Pairs of dual periodic frames ⋮ On entire functions restricted to intervals, partition of unities, and dual Gabor frames ⋮ Gabor windows supported on \([- 1, 1\) and construction of compactly supported dual windows with optimal smoothness] ⋮ Duality for frames ⋮ Translation partitions of unity, symmetry properties, and Gabor frames ⋮ Regularity of dual Gabor windows

Cites Work

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• Gabor windows supported on \([-1, 1\) and compactly supported dual windows]
• Signal analytic proofs of two basic results on lattice expansions
• From continuous to discrete Weyl-Heisenberg frames through sampling
• Pairs of dual Gabor frame generators with compact support and desired frequency localization
• Frames and bases. An introductory course
• DUAL PAIRS OF GABOR FRAMES FOR TRIGONOMETRIC GENERATORS WITHOUT THE PARTITION OF UNITY PROPERTY
• Ten Lectures on Wavelets
• An introduction to frames and Riesz bases

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