Results 11 to 20 of about 909 (114)
Complex Hadamard matrices and Equiangular Tight Frames [PDF]
Linear Algebra and its Applications, 2011 In this paper we give a new construction of parametric families of complex Hadamard matrices of square orders, and connect them to equiangular tight frames. The results presented here generalize some of the recent ideas of Bodmann et al.
Szöllősi, Ferenc
core +3 more sources
Constructions of biangular tight frames and their relationships with equiangular tight frames
, 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
Lattices from tight equiangular frames [PDF]
, 2016 We consider the set of all linear combinations with integer coefficients of the vectors of a unit tight equiangular (k,n) frame and are interested in the question whether this set is a lattice, that is, a discrete additive subgroup of the k-dimensional ...
Böttcher, Albrecht +4 more
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Harmonic equiangular tight frames comprised of regular simplices [PDF]
Linear Algebra and its Applications, 2019 An equiangular tight frame (ETF) is a sequence of unit-norm vectors in a Euclidean space whose coherence achieves equality in the Welch bound, and thus yields an optimal packing in a projective space.
Fickus, Matthew, Schmitt, Courtney A.
core +6 more sources
Hadamard equiangular tight frames
Applied and Computational Harmonic Analysis, 2021 An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. They are often represented as the columns of a short, fat matrix. In certain applications we want this matrix to be flat, that is, have the property that all of its entries have modulus one.
Matthew Fickus +3 more
openaire +4 more sources
Fingerprinting With Equiangular Tight Frames [PDF]
IEEE Transactions on Information Theory, 2013 Digital fingerprinting is a framework for marking media files, such as images, music, or movies, with user-specific signatures to deter illegal distribution. Multiple users can collude to produce a forgery that can potentially overcome a fingerprinting system.
Dustin G. Mixon +3 more
openaire +2 more sources
Balancedly splittable orthogonal designs and equiangular tight frames [PDF]
Designs, Codes and Cryptography, 2021 17 ...
Hadi Kharaghani, Thomas Pender, Sho Suda
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Moments of Subsets of General Equiangular Tight Frames
CoRR, 2021 This note outlines the steps for proving that the moments of a randomly-selected subset of a general ETF (complex, with aspect ratio ...
Marina Haikin, Ram Zamir
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Surveyor and analyst biases in forest density estimation from United States Public Land Surveys
Ecosphere, Volume 14, Issue 8, August 2023., 2023 Abstract Accurate forest density estimates based on United States Public Land Surveys have long been questioned because of doubts about randomness of both the surveyors' selection of witness trees and the underlying tree dispersion. This study analyzes the surveyor sampling of witness trees in six Midwestern states in the mid‐1800s.
Charles V. Cogbill
wiley +1 more source
Partitions of equiangular tight frames
Linear Algebra and its Applications, 2017 19 pages, 2 ...
James Rosado, Hieu D. Nguyen, Lei Cao
openaire +3 more sources