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提出了一种基于任意相同阶的Hadamard矩阵,交织递归构造相互正交二元零相关区序列集的新方法,构造的序列集能达到二元零相关区序列集的理论界.利用参数矩阵对Hadamard序列进行加权,经交织递归构造出零相关区序列集,集合内序列数量是Hadamard矩阵阶数的2倍,且序列集间满足相互正交关系.构造结果表明,参数矩阵取值的多样性可提高相互正交零相关区序列集的数量,能获得大量新的相互正交二元零相关区序列集,为准同步码分多址系统提供更多便于硬件实施的二元地址码集.
A new method based on Hadamard matrices of the same order and a set of interleaved recursive orthogonal sets of binary zero-correlation regions is proposed. The constructed sequence sets can reach the theoretical bounds of binary zero-correlation region sequence sets. By using the parameter matrix Hadamard sequence is weighted, and the zero correlation region sequence set is constructed by the interleaving recursion. The number of sequences in the set is twice that of the Hadamard matrix, and the sequences satisfy the orthogonal relationship. The results of the construction show that the diversity of the values of the parameter matrix Can improve the number of sequence sets of orthogonal zero-correlation zones, obtain a large number of new sequence sets of orthogonal zero-correlation zones and provide more binary address code sets for quasi-synchronous code division multiple access system.