Journal of South China University of Technology (Natural Science Edition) ›› 2013, Vol. 41 ›› Issue (6): 35-41.doi: 10.3969/j.issn.1000-565X.2013.06.007

• Electronics, Communication & Automation Technology • Previous Articles     Next Articles

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)

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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

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