Detailing the equivalence between real equiangular tight frames and certain strongly regular graphs

Matthew Fickus; Cody E. Watson

doi:10.1117/12.2185522

24 August 2015 Detailing the equivalence between real equiangular tight frames and certain strongly regular graphs

Matthew Fickus, Cody E. Watson

Proceedings Volume 9597, Wavelets and Sparsity XVI; 959719 (2015) https://doi.org/10.1117/12.2185522
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

An equiangular tight frame (ETF) is a set of unit vectors whose coherence achieves the Welch bound, and so is as incoherent as possible. They arise in numerous applications. It is well known that real ETFs are equivalent to a certain subclass of strongly regular graphs. In this note, we give some alternative techniques for understanding this equivalence. In a later document, we will use these techniques to further generalize this theory.

Citation Download Citation

Matthew Fickus and Cody E. Watson "Detailing the equivalence between real equiangular tight frames and certain strongly regular graphs", Proc. SPIE 9597, Wavelets and Sparsity XVI, 959719 (24 August 2015); https://doi.org/10.1117/12.2185522

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