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<p>Two-dimensional (2-D) complementary arrays are a class of signal forms with ideal correlation properties and have been widely applied in various fields in recent years. For example, they are used as two-dimensional spreading codes in multi-carrier code division multiple access (MC-CDMA) systems and as omnidirectional precoding matrices in massive multiple input multiple output (MIMO) systems. However, the array sizes achieved in existing studies are relatively limited, making it difficult to meet the diverse requirements of different application scenarios. To address this issue, this paper proposes construction methods for two-dimensional Z-complementary array code sets (ZCACS) and two-dimensional Golay complementary array sets (GCAS) with new parameters. The proposed two-dimensional GCAS with flexible array size parameters can accommodate more uniform rectangular array (URA) configurations and is suitable for massive MIMO omnidirectional transmission systems.</p>

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Construction of two-dimensional complementary array code sets with flexible array sizes

  • 期刊论文

  • 发表日期：

    2026年1月21日

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  • Yutong Guo,
  • Yubo Li,
  • Guanghua Gu,
  • Xuehua Li

摘要

Two-dimensional (2-D) complementary arrays are a class of signal forms with ideal correlation properties and have been widely applied in various fields in recent years. For example, they are used as two-dimensional spreading codes in multi-carrier code division multiple access (MC-CDMA) systems and as omnidirectional precoding matrices in massive multiple input multiple output (MIMO) systems. However, the array sizes achieved in existing studies are relatively limited, making it difficult to meet the diverse requirements of different application scenarios. To address this issue, this paper proposes construction methods for two-dimensional Z-complementary array code sets (ZCACS) and two-dimensional Golay complementary array sets (GCAS) with new parameters. The proposed two-dimensional GCAS with flexible array size parameters can accommodate more uniform rectangular array (URA) configurations and is suitable for massive MIMO omnidirectional transmission systems.