十六元零相关区周期互补序列偶集的构造

摘要

基于二元零相关区周期互补序列偶集和逆Gray映射,提出了两种十六元零相关区周期互补序列偶集的构造方法.第一种方法是在二元至四元序列逆Gray映射的基础上,结合四元至十六元序列的映射进行构造;第二种是利用一种新型逆Gray映射构造十六元零相关区周期互补序列偶集.两种方法均可以由二元序列直接生成十六元序列,从而为十六元序列的构造提供了一种新的思路.由于零相关区互补序列集可以看作零相关区互补序列偶集的特例,该方法也适用于零相关区周期互补序列集的构造.%Based on the binary periodic complementary sequence pairs set with zero correlation zone and the inverse Gray mapping,two construction methods of the 16QAM periodic complementary sequence pairs set with zero correlation zone is proposed.The first method is based on the inverse Gray mapping of binary to quaternary and combines the mapping form of quaternary to 16QAM;the second is using a new inverse Gray mapping to construct the 16QAM periodic complementary sequence pairs set with zero correlation zone.The two methods of generating 16QAM sequence from binary sequence directly,provides a new thought of constructing 16QAM sequence.Because the zero correlation complementary sequence set can be regarded as a special case of the zero correlation complementary sequence pairs set,the proposed method is also applicable to the construction of a series of complementary sequence sets with zero correlation.