基于相关积的零相关区序列集构造方法

Construction of ZCZ sequence set based on correlation product

提出一种基于相关积运算构造零相关区(zero correlation zone,ZCZ)序列集的方法。该方法可以利用任意正交子矩阵和零相关区序列集的相关积或两个零相关区序列集的相关积构造新的零相关区序列集。文中证明构造的序列集的零相关区扩展倍数不小于序列长度扩展倍数,且利用最佳零相关区序列集时可以获得最佳或渐近最佳的零相关区序列集。该方法降低了对正交矩阵以及零相关区序列集的要求,使生成的序列集具有灵活的维度和长度。最后,数值仿真证明了该方法的有效性。

A construction scheme of the zero correlation zone （ZCZ） sequence set based on correlation product is proposed, which can utilize the correlation product of an orthogonal submatrix and a ZCZ sequence set or two ZCZ sequence sets to construct a novel ZCZ sequence set. It is proved that extension of the ZCZ length is not less than that of the sequence length. When the optimal ZCZ sequence set is employed, the constructed sequence set is optimal or asymptotically optimal. This construction scheme reduces the requirements of the orthogonal matrix as well as the ZCZ sequence set and makes the generated sequence set flexible in dimensionality and length. Finally, the validity of the derived scheme is proved through numerical simulation.