New Constructions of 2-D Golay Complementary Array Sets With Highly Flexible Array Sizes for Massive MIMO Omni-Directional Transmission

This letter is concerned with efficient design of two-dimensional (2-D) Golay complementary array sets (GCASs) with ideal aperiodic sums for two correlation directions. Two new direct constructions of 2-D GCASs with highly flexible array sizes are proposed. The core idea is to truncate certain columns from large arrays generated by 2-D extended generalized Boolean functions (EGBFs). We show that these 2-D GCASs lead to highly flexible uniform rectangular array (URA) configurations for precoding matrices in omni-directional massive multi-input multi-output (MIMO) transmission.