From Event: SPIE Optical Engineering + Applications, 2017
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.
Bernhard G. Bodmann and John I. Haas, "Low frame coherence via zero-mean tensor embeddings," Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940O (Presented at SPIE Optical Engineering + Applications: August 07, 2017; Published: 24 August 2017); https://doi.org/10.1117/12.2272652.
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