四元低相关区序列偶集的构造研究

提出了两种四元低相关区序列偶集的构造方法：一种方法是基于理想的二元序列偶,通过逆Gray映射构造四元序列偶.然后通过移位序列,利用交织技术生成长的LCZ序列偶,再运用正交矩阵偶,将其扩展为四元低相关区序列偶集;另一种方法是利用同样方法构造四元序列偶,然后与正交矩阵偶相乘,生成两个新的矩阵,再将该两矩阵对应行进行组合,构造四元低相关区序列偶集.

Construction of Quaternary Low Correlation Zone Sequence Pairs Set

Two methods of constructing quaternary low correlation zone sequence pairs set are proposed in this paper. The first one is constructing quaternary sequence based on perfect binary sequence pair and inverse Gray mapping firstly, then generating a longer LCZ sequence by interleaved technique. Finally, it can be extended as quaternary low correlation zone sequence pairs set by using the orthogo- hal matrix pairs. The second one is firstly constructing quaternary sequence pairs by the same way, and then multiplying the orthogonal matrix pairs to generate two new matrixes. Finally, quaternary low correlation zone sequence pairs set can be obtained by combining the above two matrixes together.