Optimal projective packings from association schemes

Joseph W. Iverson; John Jasper; Dustin G. Mixon

doi:10.1117/12.2274543

24 August 2017 Optimal projective packings from association schemes

Joseph W. Iverson, John Jasper, Dustin G. Mixon

Proceedings Volume 10394, Wavelets and Sparsity XVII; 103940P (2017) https://doi.org/10.1117/12.2274543
Event: SPIE Optical Engineering + Applications, 2017, San Diego, California, United States

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.

Citation Download Citation

Joseph W. Iverson, John Jasper, and Dustin G. Mixon "Optimal projective packings from association schemes", Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940P (24 August 2017); https://doi.org/10.1117/12.2274543

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