|Constructions of Two-Dimensional Golay Complementary Array Pairs Based on Generalized Boolean Functions
|Cheng-Yu Pai, Chao-Yu Chen, National Cheng Kung University, Taiwan
|Topics in Information Theory
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|The two-dimensional (2-D) Golay complementary array pair (GCAP) is an extension of one-dimensional 1-D Golay complementary pair (GCP). The sum of 2-D autocorrelations of constituent arrays are zero except for the 2-D zero shift. In this paper, the 2-D generalized Boolean function is introduced and a novel construction of 2-D GCAPs is proposed based on generalized Boolean functions. Moreover, we provide a construction of 2-D Golay complementary array mate from Boolean functions as well. One potential application of 2-D GCAPs is 2-D synchronization.