新的相互正交二元零相关区序列集构造法

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.

New Construction of Mutually Orthogonal Binary Sequence Sets with Zero Correlation Zone

Based on a pair of Hadamard matrices of the same size, a new construction of mutually orthogonal binary sequence sets with zero correlation zone (ZCZ) is presented by interleaving recursion. The sequence sets proposed can achieve theoretical bound of binary ZCZ sequence sets. By interleaving recursion, ZCZ sequence sets can be constructed from Hadamard sequences weighted by the coefficient matrices, satisfying mutually orthogonality, in which the number of sequences doubles the size of Hadamard matrix. The construction results illustrate that the proposed method improves the number of mutually orthogonal binary sequence sets with ZCZ and obtains more new sequence sets, which are used in quasi-synchronous code division multiple access system and implemented conveniently in hardware, by means of different choices of the coefficient matrices.