Convolutional frames and the frame potential

DOI10.1016/j.acha.2005.02.005zbMath1067.42017OpenAlexW2136760838MaRDI QIDQ2484417

Brody Dylan Johnson, Kasso A. Okoudjou, Matthew Fickus, Keri A. Kornelson

Publication date: 1 August 2005

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2005.02.005

zbMATH Keywords

potentialconvolutionframefilter bank

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)

Related Items (13)

Optimal reconstruction systems for erasures and for the \(q\)-potential ⋮ Generalized Gramians: Creating frame vectors in maximal subspaces ⋮ Minimization of convex functionals over frame operators ⋮ Minimization of the probabilistic \(p\)-frame potential ⋮ Auto-tuning unit norm frames ⋮ Optimal frame completions with prescribed norms for majorization ⋮ Optimal frame completions ⋮ Finite Frames and Filter Banks ⋮ Families of spectral sets for Bernoulli convolutions ⋮ Uniform tight frames as optimal signals ⋮ Frame potential for finite-dimensional Banach spaces ⋮ Minimizing fusion frame potential ⋮ A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces

Cites Work

• Ellipsoidal tight frames and projection decompositions of operators
• Tight frames and their symmetries
• Finite normalized tight frames
• Filter bank frame expansions with erasures
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