Zero correlation zone (ZCZ) sequences and Golay sequences are two kinds of sequences with different preferable correlation properties. It was shown by Gong \textit{et al.} and Chen \textit{et al.} that some Golay sequences also possess a large ZCZ and are good candidates for pilots in OFDM systems. Known Golay sequences with ZCZ reported in the literature have a limitation in the length which is the form of a power of 2. One objective of this paper is to propose a construction of Golay complementary pairs (GCPs) with new lengths whose periodic autocorrelation of each of the Golay sequences and periodic corss-correlation of the pair displays a zero correlation zone (ZCZ) around the in-phase position. Specifically, the proposed GCPs have length $4N$ (where, $N$ is the length of a GCP) and ZCZ width $N+1$. Another objective of this paper is to extend the construction to two-dimensional Golay complementary array pairs (GCAPs). Interestingly the periodic corss-correlation of the proposed GACPs also have large ZCZs around the in-phase position.

翻译：零相关区(ZCZ)序列和戈莱序列是两种具有不同更可取关联属性的序列。 由Gong \ textit{et al.} 和 Chen \ textit{et al.} 显示, 某些戈莱序列也拥有大型 ZCZ, 并且是ODM 系统试点的好候选人。 文献中报道的与 ZCZ 的已知Golay 序列在长度上是有限制的, 其形式是: 2. 权力。 本文的一个目标是建议建造一对具有新长度的戈莱互补对子(GCPs), 其每个戈莱序列的周期性自动关系和周期性螺旋关系在相向位置周围显示零相关区域(ZCZZ)。 具体地说, 拟议的GCPs 长度为4N美元( 其中美元是GCP的长度)和ZCZ的宽度为$N+1美元。 本文的另一个目标是将建造范围扩大到两维的戈莱互补阵列(GCAPs) 也围绕了拟议中的大型CZZ.