零相关区互补序列集与序列偶集的研究

发布时间：2019-06-05 16:04

【摘要】：零相关区互补序列集与序列偶集在雷达,信息安全,码分多址(CDMA)通信系统等领域中具有重要作用。为了降低系统的多址干扰与多径干扰,选择具有良好自相关与互相关特性的序列成为学者们研究的重要方向。由于序列集中序列的数目会影响系统所能容纳的用户数量,但零相关区的大小又对其有一定的限制,因此构造达到理论界的零相关区互补序列集与序列偶集具有重要意义。首先,将三元完备序列进行移位,再根据序列长度奇偶的不同进行映射,构造了一类8-QAM+正交序列集,再将其与二元,三元或四元正交序列集结合,通过选取不同的参数,构造了一类达到理论界的8-QAM+非周期零相关区互补序列集,为工程上提供了更多选择。然后,基于Hadamard矩阵与正交矩阵偶构造了一类三元多子集非周期零相关区序列偶集,并运用两种迭代方法构造了子序列数目更多,零相关区更长的序列偶集,随迭代次数的增多,子集中序列数目也成倍增多,并且子集的零相关区与补零个数相关,集间零相关区长度与补零个数和移位均相关,本文构造的序列集具有更多的子序列数目,将更好地运用在准同步CDMA中。最后,基于三元奇周期互补序列构造了子序列数目为奇数或偶数的8-QAM+奇周期互补序列,然后基于三元奇周期互补序列对,进行交织映射,构造了周期为2倍长度的8-QAM+奇周期序列,最后基于三元奇周期互补序列,将其进行移位映射,构造了一类8-QAM+零相关区奇周期互补序列集,其中零相关区长度与序列集中序列个数均可灵活设定。
[Abstract]:Zero correlation region complementary sequence set and sequence even set play an important role in radar, information security, code division multiple access (CDMA) communication system and other fields. In order to reduce the multiple access interference (mai) and multi-path interference (mai) of the system, it has become an important research direction for scholars to select sequences with good autocorrelation and cross-correlation characteristics. Because the number of sequences in the sequence set will affect the number of users that the system can accommodate, but the size of the zero correlation region is limited to it, it is of great significance to construct the complementary sequence set and the sequence even set of the zero correlation region in the theoretical circle. Firstly, the ternary complete sequence is shifted, and then a class of 8-QAM orthogonal sequence set is constructed according to the odd and even length of the sequence, and then it is combined with binary, ternary or quaternion orthogonal sequence set, by selecting different parameters. A class of complementary sequence sets of 8-QAM aperiodic zero correlation regions reaching the theoretical circle is constructed, which provides more choices for engineering. Then, based on Hadamard matrix and orthogonal matrix couple, a class of ternary multisubset aperiodic zero correlation region sequence pairs is constructed, and two iterative methods are used to construct sequence pairs with more subsequences and longer zero correlation regions, with the increase of iteration times. The number of sequences in the subset is also multiplied, and the zero correlation region of the subset is related to the number of complement zeros, and the length of zero correlation regions between sets is related to the number and shift of complement zeros. The sequence set constructed in this paper has more subsequences. It will be better used in quasi-synchronous CDMA. Finally, based on the ternary odd periodic complementary sequence, the 8-QAM odd periodic complementary sequence with odd or even number of subsequences is constructed, and then the interleaving mapping is carried out based on the ternary odd periodic complementary sequence pair. The 8-QAM odd period sequence with a period of twice the length is constructed. finally, based on the ternary odd period complementary sequence, the shift mapping is carried out, and a class of odd periodic complementary sequence sets in 8-QAM zero correlation region is constructed. The length of zero correlation region and the number of sequences in sequence set can be set flexibly.
【学位授予单位】：燕山大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TN911.2

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