华南理工大学学报(自然科学版) ›› 2013, Vol. 41 ›› Issue (6): 35-41.doi: 10.3969/j.issn.1000-565X.2013.06.007

• 电子、通信与自动控制 • 上一篇    下一篇

沃尔什序列组的两个新性质及其推论

郭黎利1 刘明夺1 姜晓斐2   

  1. 1.哈尔滨工程大学 信息与通信工程学院, 黑龙江 哈尔滨 150001;2.中国电子科技集团公司第54 研究所,河北 石家庄 050001
  • 收稿日期:2012-12-07 修回日期:2013-01-20 出版日期:2013-06-25 发布日期:2013-05-03
  • 通信作者: 郭黎利(1955-),男,教授,博士生导师,主要从事现代通信系统理论与技术研究. E-mail:guolili@hrb.cdu.cn
  • 作者简介:郭黎利(1955-),男,教授,博士生导师,主要从事现代通信系统理论与技术研究.
  • 基金资助:

    国家自然科学基金资助项目(61271263)

Two New Properties and Corresponding Deductions of Walsh Sequence Set

Guo Li- li1 Liu Ming- duo1 Jiang Xiao- fei2   

  1. 1.College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,Heilongjiang,China;2.The 54th Research Institute of the China Electronics Technology Group Corporation,Shijiazhuang 050001,Hebei,China
  • Received:2012-12-07 Revised:2013-01-20 Online:2013-06-25 Published:2013-05-03
  • Contact: 郭黎利(1955-),男,教授,博士生导师,主要从事现代通信系统理论与技术研究. E-mail:guolili@hrb.cdu.cn
  • About author:郭黎利(1955-),男,教授,博士生导师,主要从事现代通信系统理论与技术研究.
  • Supported by:

    国家自然科学基金资助项目(61271263)

摘要: 利用沃尔什( Walsh) 序列现有的性质,推导并证明了 L × L 阶完备 Walsh 序列组的新性质,即组中任意三条或四条序列均存在 L/4 列的列同性.依据序列的列同性又推导出完备 Walsh 序列组中四条序列列同性的二进制 Walsh 编号之和为0,以及三条序列等幅叠加生成序列正交映射后与组中序列部分正交的推论.仿真结果验证了完备 Walsh 序列组中叠加生成序列与原序列组中序列的部分相关性.最后,将叠加序列的部分相关性应用于并行组合扩频通信系统中,简要介绍了在并行组合扩频通信系统 QPSK 调制中使用完备 Walsh 序列组来实现接收解调的软判决.

关键词: 沃尔什序列, 列同性, 部分相关性, 定理证明, 并行组合扩频

Abstract:

 Based on the present properties of Walsh sequences,a new property of an L × L- order complete Walsh sequence set is derived,i.e.there exists sequence identity of L/4 columns of arbitrary three or four sequences.According to this property,it is deduced that the sum of binary Walsh numbers in the identical columns of four sequences is zero,and that,the mapping sequences of three superposition sequences are orthogonal to a certain number of sequences in the sequence set.Moreover,the partial correlation between the superposition sequences and the original sequences is verified by simulations and is applied to a parallel combinatory spread spectrum communication system.Finally,the soft decision for QPSK modulation of the spread spectrum system is briefly analyzed.

Key words: Walsh sequence, sequence identity, partial correlation, theorem proving, parallel combinatory spreadspectrum

中图分类号: