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Proceedings Paper

Quasi-symmetric designs and equiangular tight frames
Author(s): Matthew Fickus; John Jasper; Dustin Mixon; Jesse Peterson
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Paper Abstract

An equiangular tight frame (ETF) is an M×N matrix which has orthogonal equal norm rows, equal norm columns, and the inner products of all pairs of columns have the same modulus. ETFs arise in numerous applications, including compressed sensing. They also seem to be rare: despite over a decade of active research by the community, only a few construction methods have been discovered. In this article we introduce a new construction of ETFs which uses a particular set of combinatorial designs called quasi-symmetric designs. For ETFs whose entries are contained in {+1;-1}, called real constant amplitude ETFs (RCAETFs), we see that this construction is reversible, giving new quasi-symmetric designs from the known constructions RCAETFs.

Paper Details

Date Published: 24 August 2015
PDF: 8 pages
Proc. SPIE 9597, Wavelets and Sparsity XVI, 95970F (24 August 2015); doi: 10.1117/12.2189347
Show Author Affiliations
Matthew Fickus, Air Force Institute of Technology (United States)
John Jasper, Univ. of Cincinnati (United States)
Dustin Mixon, Air Force Institute of Technology (United States)
Jesse Peterson, Air Force Institute of Technology (United States)

Published in SPIE Proceedings Vol. 9597:
Wavelets and Sparsity XVI
Manos Papadakis; Vivek K. Goyal; Dimitri Van De Ville, Editor(s)

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