On a necessary condition for B-spline Gabor frames

DOI10.1007/s11587-010-0077-6zbMath1198.41003OpenAlexW2014342158MaRDI QIDQ993752

Vincenza Del Prete

Publication date: 20 September 2010

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-010-0077-6

zbMATH Keywords

B-splinepartition of unityGabor framedual windowRon-Shen condition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Spline approximation (41A15)

Related Items (2)

Spline function generating Gabor systems on the half real line ⋮ Counterexamples to the B-spline conjecture for Gabor frames

Cites Work

• Gabor dual spline windows
• 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
• Estimates, decay properties, and computation of the dual function for Gabor frames
• Pairs of dual Gabor frame generators with compact support and desired frequency localization
• Note on B-splines, wavelet scaling functions, and gabor frames
• The wavelet transform, time-frequency localization and signal analysis
• Continuous and Discrete Wavelet Transforms
• Gabor Frames without Inequalities

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