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Prime tight frames [PDF]

open access: yesAdvances in Computational Mathematics, 2013
We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. In particular, we show that any finite tight frame can be written as a union of prime tight frames.
Jakob Lemvig, Kasso Akochayé Okoudjou
exaly   +8 more sources

Random Tight Frames [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2011
We introduce probabilistic frames to study finite frames whose elements are chosen at random. While finite tight frames generalize orthonormal bases by allowing redundancy, independent, uniformly distributed points on the sphere approximately form a ...
Ehler, Martin
core   +4 more sources

Continuous Shearlet Tight Frames [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2010
Based on the shearlet transform we present a general construction of continuous tight frames for $L^2(\mathbb{R}^2)$ from any sufficiently smooth function with anisotropic moments.
Grohs, Philipp
core   +5 more sources

Tremain equiangular tight frames [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2017
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangular tight frames.
Fickus, Matthew   +3 more
core   +5 more sources

Tight Frames and Their Symmetries [PDF]

open access: yesConstructive Approximation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shayne Waldron
exaly   +2 more sources

Construction ofk-Angle Tight Frames

open access: yesNumerical Functional Analysis and Optimization, 2016
Frames have become standard tools in signal processing due to their robustness to transmission errors and their resilience to noise. Equiangular tight frames (ETFs) are particularly useful and have been shown to be optimal for transmission under a ...
Somantika Datta, Jesse Oldroyd
exaly   +3 more sources

Optimal tight frames and quantum measurement [PDF]

open access: yesIEEE Transactions on Information Theory, 2002
Submitted to IEEE Transactions on Information Theory.
Eldar, Yonina C., Forney, G. David jun.
exaly   +4 more sources

Constructing tight fusion frames

open access: yesApplied and Computational Harmonic Analysis, 2011
A tight fusion frame is a sequence of orthogonal projection operators that sum to a scalar multiple of the identity operator. The authors resolve the question of existence of such frames in the special case where the underlying space is finite-dimensional and the fusion frame's subspaces have equal dimension.
Peter G Casazza   +2 more
exaly   +4 more sources

Tight Reference Frame–Independent Quantum Teleportation [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2017
We give a tight scheme for teleporting a quantum state between two parties whose reference frames are misaligned by an action of a finite symmetry group.
Dominic Verdon, Jamie Vicary
doaj   +5 more sources

Constructions of biangular tight frames and their relationships with equiangular tight frames

open access: yes, 2017
We study several interesting examples of Biangular Tight Frames (BTFs) - basis-like sets of unit vectors admitting exactly two distinct frame angles (ie, pairwise absolute inner products) - and examine their relationships with Equiangular Tight Frames ...
Cahill, Jameson   +3 more
core   +2 more sources

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