A decay result for certain windows generating orthogonal Gabor bases

DOI10.1007/s00041-007-9006-9zbMath1268.42058OpenAlexW2125177329MaRDI QIDQ939093

Augustus J. E. M. Janssen

Publication date: 21 August 2008

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-007-9006-9

zbMATH Keywords

Gabor framecritical densityBalian-Low theorem

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Uniqueness and localization for orthogonal series (42C25)

Related Items (4)

Time-frequency shift invariance and the amalgam Balian-Low theorem ⋮ Regularity for complete and minimal Gabor systems on a lattice ⋮ A sharp Balian-Low uncertainty principle for shift-invariant spaces ⋮ Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\)

Cites Work

• Differentiation and the Balian-Low theorem
• The Balian-Low theorem regularity of Gabor systems
• On generating tight Gabor frames at critical density
• Double series representation of bounded signals
• An Optimal Example for the Balian--Low Uncertainty Principle

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