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Minimal Frame Operator Norms Via Minimal Theta Functions

We investigate sharp frame bounds of Gabor frames with chirped Gaussians and rectangular lattices or, equivalently, the case of the standard Gaussian and general lattices. We prove that for even redundancy and standard Gaussian window the hexagonal lattice minimizes the upper frame bound using a res...

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Detalles Bibliográficos
Autor principal: Faulhuber, Markus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5935039/
https://www.ncbi.nlm.nih.gov/pubmed/29755253
http://dx.doi.org/10.1007/s00041-017-9526-x