Biangular Gabor frames and Zauner's conjecture

Mark Magsino; Dustin G. Mixon

doi:10.1117/12.2529671

9 September 2019 Biangular Gabor frames and Zauner's conjecture

Mark Magsino, Dustin G. Mixon

Proceedings Volume 11138, Wavelets and Sparsity XVIII; 111381G (2019) https://doi.org/10.1117/12.2529671
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

Two decades ago, Zauner conjectured that for every dimension d, there exists an equiangular tight frame consisting of d² vectors in C^d . Most progress to date explicitly constructs the promised frame in various dimensions, and it now appears that a constructive proof of Zauner’s conjecture may require progress on the Stark conjectures. In this paper, we propose an alternative approach involving biangular Gabor frames that may eventually lead to an unconditional non-constructive proof of Zauner’s conjecture.

Citation Download Citation

Mark Magsino and Dustin G. Mixon "Biangular Gabor frames and Zauner's conjecture", Proc. SPIE 11138, Wavelets and Sparsity XVIII, 111381G (9 September 2019); https://doi.org/10.1117/12.2529671

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