Optimal Parseval frames: total coherence and total volume

DOI10.1080/03081087.2022.2093320zbMath1527.42043arXiv1910.01733OpenAlexW2978813646MaRDI QIDQ6115876

Publication date: 10 August 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01733

zbMATH Keywords

Parseval frames

Mathematics Subject Classification ID

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

Cites Work

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A mathematical introduction to compressive sensing
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Complex equiangular tight frames and erasures
Numerically erasure-robust frames
Finite frame varieties: Nonsingular points, tangent spaces, and explicit local parameterizations
Minimization of the probabilistic \(p\)-frame potential
Steiner equiangular tight frames
Frame potentials and the geometry of frames
Equiangular tight frames from complex Seidel matrices containing cube roots of unity
Grassmannian frames with applications to coding and communication
Optimal frames for erasures.
An introduction to finite tight frames
Geometry of the Welch bounds
Finite normalized tight frames
Equal-norm tight frames with erasures
Product cosines of angles between subspaces
Full spark frames
Universal optimal configurations for the \(p\)-frame potentials
Optimal measures for \(p\)-frame energies on spheres
Nearly orthogonal vectors and small antipodal spherical codes
Constructing finite frames of a given spectrum and set of lengths
Frames, graphs and erasures
The minimizers of the \(p\)-frame potential
Decoding by Linear Programming
Lower bounds on the maximum cross correlation of signals (Corresp.)
Packings in Real Projective Spaces
Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
Algebraic Geometry and Finite Frames
Discrete Energy on Rectifiable Sets
Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
Quantized frame expansions with erasures

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