<p>To enlarge the parameter space and enrich the design methodology of two-dimensional complete complementary codes (2D-CCCs) with ideal aperiodic correlation properties, this paper proposes two direct constructions based on two-dimensional extended generalized Boolean functions. The proposed constructions enable flexible control of array dimensions and generated new parameter configurations that have not been reported in the existing literature. The resulting 2D-CCCs are well suited for precoding in omnidirectional massive multiple-input multiple-output systems with adaptable uniform rectangular array configurations. In addition, the upper bounds of the peak-to-average power ratio (PAPR) for the row and column sequences are derived. It is shown that when a 2D-CCC consists of only two Golay complementary array sets, the PAPR of both row and column sequences is upper-bounded by 2.</p>

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Constructions of two-dimensional complete complementary codes with flexible array sizes

  • Yifan Zhang,
  • Kai Liu

摘要

To enlarge the parameter space and enrich the design methodology of two-dimensional complete complementary codes (2D-CCCs) with ideal aperiodic correlation properties, this paper proposes two direct constructions based on two-dimensional extended generalized Boolean functions. The proposed constructions enable flexible control of array dimensions and generated new parameter configurations that have not been reported in the existing literature. The resulting 2D-CCCs are well suited for precoding in omnidirectional massive multiple-input multiple-output systems with adaptable uniform rectangular array configurations. In addition, the upper bounds of the peak-to-average power ratio (PAPR) for the row and column sequences are derived. It is shown that when a 2D-CCC consists of only two Golay complementary array sets, the PAPR of both row and column sequences is upper-bounded by 2.