Binary matrices of optimal autocorrelations as alignment marks
Scott A. Skirlo, Ling Lu, Marin Solja\v{c}i\'c
TL;DR
This paper introduces a new class of binary matrices optimized for autocorrelation properties, serving as robust alignment marks for spatial positioning, with exhaustive search results for matrices up to size 9x9.
Contribution
It defines a novel class of binary matrices with maximized peak-sidelobe distances for autocorrelation, providing optimal solutions for small matrix sizes.
Findings
Optimal matrices up to 7x7 found by exhaustive search
Diagonal matrices of 8x8 and 9x9 also optimized
Matrices serve as robust in-plane spatial alignment marks
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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Taxonomy
TopicsAntenna Design and Optimization · Advanced Antenna and Metasurface Technologies · Optics and Image Analysis