一类四元零相关区周期互补序列集

该文基于偶周期二元零相关区周期互补序列集，利用逆Gray映射，研究了一类新的四元零相关区周期互补序列集的构造方法。构造的序列集参数性能得到提升，即在一定条件下，即使初始二元零相关区周期互补序列集未达到理论界，获得的序列集仍可以达到理论界。同时，通过选择不同的参数，可以得到不同的四元零相关区周期互补序列集。构造结果表明，该文方法能产生与已有构造结果不同的零相关区周期互补序列集，有效地增加了四元零相关区周期互补序列集的数量，为工程应用提供了更多的选择。

A Class of Quaternary Periodic Complementary Sequence Sets with Zero Correlation Zone

Based on binary Zero Correlation Zone (ZCZ) periodic complementary sequence sets with even period, new quaternary ZCZ periodic complementary sequence sets are researched by using inverse Gray mapping. The optimality of the sequence sets is improved, which means, in certain conditions, the obtained sequence sets can achieve the theoretical bound, though the binary ZCZ periodic complementary sequence sets employed can not reach the theoretical bound. At the same time, the proposed scheme can get different quaternary ZCZ periodic complementary sequence sets by using different parameters. The research results show that the method can effectively increase the number of the quaternary ZCZ periodic complementary sequence sets, which are different from the sets obtained before, and provides more choices in practical engineering application.