Binary matrices of optimal autocorrelations as alignment marks

29 Aug 2014  ·  Scott A. Skirlo, Ling Lu, Marin Soljačić ·

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. read more

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