二元及四元零相关区周期互补序列集构造法
doi: 10.3724/SP.J.1146.2011.00462
Constructions of Binary and Quaternary Periodic Complementary Sequence Sets with Zero Correlation Zone
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摘要: 该文基于二元周期互补序列集，研究了二元和四元零相关区(ZCZ)周期互补序列集的构造方法。利用移位序列和交织法来构造二元ZCZ周期互补序列集，序列集的零相关区长度可以灵活设定。利用逆Gray映射构造了四元ZCZ周期互补序列集，零相关区长度同样可以灵活设定。如果采用的初始周期互补序列集参数达到理论界限，得到的二元和四元ZCZ周期互补序列集参数都是可以达到理论界限的。Abstract: Based on binary periodic complementary sequence sets, constructions of binary or quaternary periodic complementary sequence sets with Zero Correlation Zone (ZCZ) are proposed. The resultant binary ZCZ periodic complementary sequence set is constructed by interleaving technique and shift sequences. And the resultant quaternary ZCZ periodic complementary set is based on the inverse Gray mapping. If the initial periodic complementary set is optimal, both binary and quaternary ZCZ periodic complementary sets are optimal with respect to the theoretical bound. Moreover, the proposed approach provides flexible choices for ZCZ length.
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