| 一类周期为pq阶为2的Whiteman广义分圆序列研究 |
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| 引用本文： | 李胜强, 周亮, 肖国镇. 一类周期为pq阶为2的Whiteman广义分圆序列研究[J]. 电子与信息学报, 2009, 31(9): 2205-2208. doi: 10.3724/SP.J.1146.2008.01096 |
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| 作者姓名： | 李胜强 周亮 肖国镇 |
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| 作者单位： | 电子科技大学通信抗干扰技术国家级重点实验室,成都,610054;西安电子科技大学综合业务网国家重点实验室,西安,710071 |
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| 基金项目： | 国家自然科学基金，国家部级基金 |
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| 摘 要： | 线性复杂度是度量序列随机性质最重要的指标之一。该文基于Whiteman-广义分圆，构造了一类周期为pq阶为2的广义分圆序列。证明了适当的选取参数p和q，该类序列的线性复杂度的下界为pq-p-q+1，且该类序列为平衡序列。最后指出了准确计算该序列的线性复杂度所必须解决的问题。
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| 关 键 词： | 伪随机序列 Whiteman-广义分圆 线性复杂度 特征集 |
| 收稿时间： | 2008-09-04 |
| 修稿时间： | 2009-05-25 |
Study on a Class of Whiteman-Generalized Cyclotomic Sequence with Length pq and Order Two |
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| Li Sheng-qiang, Zhou Liang, Xiao Guo-zhen. Study on a Class of Whiteman-Generalized Cyclotomic Sequence with Length pq and Order Two[J]. Journal of Electronics & Information Technology, 2009, 31(9): 2205-2208. doi: 10.3724/SP.J.1146.2008.01096 |
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| Authors: | Li Sheng-qiang Zhou Liang Xiao Guo-zhen |
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| Affiliation: | National Key Lab of Communication, University of Electronic Science and Technology of China, Chengdu 610054, China;
National Key Lab of ISN, Xidian University, Xi'an 710071, China |
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| Abstract: | Linear complexity is one of the most important indexes for measuring the randomness properties of sequences. Based on Whiteman-generalized cyclotomy, a new class of generalized cyclotomic sequences with length qp and order 2 is constructed. It is proved that the lower bound of linear complexity of the sequence is pq-p-q+1 with the proper selection of parameters p and q, and the sequence has balance property. Finally, this paper points out the method for determine linear complexity. |
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| Keywords: | Pseudo-random sequence Whiteman-generalized cyclotomy Linear complexity Characteristic set |
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