A construction of unimodular equiangular tight frames from resolvable Steiner systems

John Jasper

doi:10.1117/12.2024182

27 September 2013 A construction of unimodular equiangular tight frames from resolvable Steiner systems

John Jasper

Proceedings Volume 8858, Wavelets and Sparsity XV; 88581Q (2013) https://doi.org/10.1117/12.2024182
Event: SPIE Optical Engineering + Applications, 2013, San Diego, California, United States

Abstract

An equiangular tight frame (ETF) is an M x N matrix which has orthogonal equal norm rows, equal norm columns, and the inner products of all pairs of columns have the same modulus. In this paper we study ETFs in which all of the entries are unimodular, and in particular pth roots of unity. A new construction of unimodular ETFs based on resolvable Steiner systems is presented. This construction gives many new examples of unimodular ETFs. In particular, an new infinite class of ETFs with entries in f1;-1g is presented.

Citation Download Citation

John Jasper "A construction of unimodular equiangular tight frames from resolvable Steiner systems", Proc. SPIE 8858, Wavelets and Sparsity XV, 88581Q (27 September 2013); https://doi.org/10.1117/12.2024182

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available