Wilson Bases for General Time-Frequency Lattices

DOI10.1137/S003614100343723XzbMath1090.94008arXivmath/0311383MaRDI QIDQ5470575

Thomas Strohmer, Gitta Kutyniok

Publication date: 31 May 2006

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311383

zbMATH Keywords

Schrödinger representationtime-frequency latticeGabor frameWilson basismetaplectic transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (12)

On Wilson Bases in $L^2(\mathbb{R}^d)$ ⋮ CHARACTERIZATION OF WILSON SYSTEMS FOR GENERAL LATTICES ⋮ An interplay between Gabor and Wilson frames ⋮ On discrete time Wilson systems ⋮ Bimodal Wilson systems in \(L^2(\mathbb{R})\) ⋮ DISCRETE-TIME WILSON FRAMES WITH GENERAL LATTICES ⋮ Metaplectic operators for finite Abelian groups and \(\mathbb R^d\) ⋮ Gabor Analysis for Imaging ⋮ Gabor analysis over finite Abelian groups ⋮ WILSON SYSTEM FOR TRIPLE REDUNDANCY ⋮ Symmetric Wilson systems ⋮ Representing and counting the subgroups of the group \(\mathbb{Z}_m \times \mathbb{Z}_n\)

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