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arXiv · 1408.6915

Binary matrices of optimal autocorrelations as alignment marks

Scott A. Skirlo·Ling Lu·Marin Soljačić
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Abstract

We define a new class of binary matrices by maximizing the peak-sidelobe distances in the aperiodic autocorrelations. These matrices can be used as robust position marks for in-plane spatial alignment. The optimal square matrices of dimensions up to 7 by 7 and optimal diagonally-symmetric matrices of 8 by 8 and 9 by 9 were found by exhaustive searches.

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Scott A. Skirlo, Ling Lu, Marin Soljačić. 2014-08-29. Binary matrices of optimal autocorrelations as alignment marks. https://doi.org/10.1116/1.4913316

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