Open AccessThree constructions of Golay complementary array sets
Author(s) -
Bingsheng Shen,
Yang Yang,
Ruibin Ren
Publication year - 2024
Publication title -
advances in mathematics of communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.601
H-Index - 26
eISSN - 1930-5346
pISSN - 1930-5338
DOI - 10.3934/amc.2022019
Subject(s) - binary golay code , mathematics , aperiodic graph , concatenation (mathematics) , complementary sequences , discrete mathematics , orthogonal array , combinatorics , arithmetic , algorithm , statistics , taguchi methods
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.