Two-Dimensional Binary Z-Complementary Array Pairs

Cheng Yu Pai, Yong Ting Ni, Chao Yu Chen

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

One-dimensional (1-D) Golay complementary pair (GCP) and its extension Z-complementary pair (ZCP) with additional zero autocorrelation zone property have been widely studied in the literature. Recently, the investigation of 1-D GCPs have been extended to two-dimensional (2-D) and higher dimensional Golay complementary array pairs (GCAPs). In this article, the concept of zero correlation zone (ZCZ) is applied to 2-D GCAP and the 2-D Z-complementary array pair (ZCAP) is presented. Several constructions of ZCAPs are proposed in this article and the existence of ZCAPs is discussed as well. Based on the proposed constructions, 2-D ZCAPs are shown to exist for all sizes. Furthermore, an upper bound on the rectangular ZCZ size of the 2-D ZCAP is derived when both dimensions are odd. The proposed constructions can include ZCAPs which achieve the upper bound.

原文English
文章編號9328523
頁(從 - 到)3892-3904
頁數13
期刊IEEE Transactions on Information Theory
67
發行號6
DOIs
出版狀態Published - 2021 六月

All Science Journal Classification (ASJC) codes

  • 資訊系統
  • 電腦科學應用
  • 圖書館與資訊科學

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