Cross Z-complementary pairs (CZCPs) are a special kind of Z-complementary pairs having zero autocorrelation sums around the in-phase position and end-shift position, also having zero cross-correlation sums around the end-shift position. Recent results have shown that CZCPs are very efficient in designing pilot sequences for spatial modulation enabled multiple-input multiple-output (MIMO) systems. In this paper, we propose systematic constructions of binary and quadriphase CZCPs with new lengths of the form 2M, where even-length binary Z-complementary pairs of length M exists. Interestingly, the proposed binary and quadriphase CZCPs have large CZCratio (i.e. the ratio of achieved zero correlation zone width over maximum zero correlation zone width). One of the proposed construction can also construct optimal quadriphase CZCPs using quadriphase GCPs.

中文翻译：

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用于空间调制前导码设计的新组四相交叉 Z 互补对


交叉 Z 互补对 (CZCP) 是一种特殊的 Z 互补对，在同相位置和端移位置周围具有零自相关和，在端移位置周围也具有零互相关和。最近的结果表明，CZCP 在为支持空间调制的多输入多输出 (MIMO) 系统设计导频序列方面非常高效。在本文中，我们提出了具有 2M 形式新长度的二元和四相 CZCP 的系统结构，其中存在长度为 M 的偶数长度二元 Z 互补对。有趣的是，所提出的二相和四相 CZCP 具有较大的 CZCratio（即实现的零相关区宽度与最大零相关区宽度的比率）。所提出的构造之一还可以使用四相 GCP 构造最佳四相 CZCP。