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Proceedings Paper

Optimal projective packings from association schemes
Author(s): Joseph W. Iverson; John Jasper; Dustin G. Mixon
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Paper Abstract

We present the theory of equiangular tight frames (ETFs) from association schemes as a generalization of harmonic ETFs. This theory has the pleasing consequence of including not only harmonic ETFs from abelian groups but also real ETFs with centroidal symmetry and the ETFs discovered by Renes and Strohmer coming from skew-symmetric conference matrices. Finally we present a theory of nonabelian harmonic ETFs from the perspective of association schemes. An infinite class of ETFs arising as group frames from nonabelian groups is presented.

Paper Details

Date Published: 24 August 2017
PDF: 7 pages
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940P (24 August 2017); doi: 10.1117/12.2274543
Show Author Affiliations
Joseph W. Iverson, Univ. of Maryland, College Park (United States)
John Jasper, Univ. of Cincinnati (United States)
Dustin G. Mixon, Air Force Institute of Technology (United States)

Published in SPIE Proceedings Vol. 10394:
Wavelets and Sparsity XVII
Yue M. Lu; Dimitri Van De Ville; Manos Papadakis, Editor(s)

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