Three constructions of Golay complementary array sets

Recently, two-dimensional (2-D) arrays with good correlation have been used in MIMO systems. In this paper, we investigate new 2-D Golay complementary array sets (GCASs), whose 2-D aperiodic auto-correlation sums are zero for all 2-D nonzero shifts. Firstly, based on the 2-D generalized Boolean functions, we propose a direct construction of new GCASs. Secondly, using horizontal concatenation, we give two indirect constructions of GCASs. The proposed constructions can provide a lot of GCASs with flexible parameters.