Results 1 to 10 of about 236,630 (266)
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
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]
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]
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]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shayne Waldron
exaly +2 more sources
Construction ofk-Angle Tight Frames
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]
Submitted to IEEE Transactions on Information Theory.
Eldar, Yonina C., Forney, G. David jun.
exaly +4 more sources
Constructing tight fusion frames
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]
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
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

