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Proceedings Paper

Low frame coherence via zero-mean tensor embeddings
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Paper Abstract

This paper is concerned with achieving optimal coherence for highly redundant real unit-norm frames. As the redundancy grows, the number of vectors in the frame becomes too large to admit equiangular arrangements. In this case, other geometric optimality criteria need to be identified. To this end, we use an iteration of the embedding technique by Conway, Hardin and Sloane. As a consequence of their work, a quadratic mapping embeds equiangular lines into a simplex in a real Euclidean space. Here, higher degree polynomial maps embed highly redundant unit-norm frames to simplices in high-dimensional Euclidean spaces. We focus on the lowest degree case in which the embedding is quartic.

Paper Details

Date Published: 24 August 2017
PDF: 11 pages
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940O (24 August 2017); doi: 10.1117/12.2272652
Show Author Affiliations
Bernhard G. Bodmann, Univ. of Houston (United States)
John I. Haas IV, Univ. of Missouri (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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