收稿日期: 2012-12-07
修回日期: 2013-01-20
网络出版日期: 2013-05-03
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
Received date: 2012-12-07
Revised date: 2013-01-20
Online published: 2013-05-03
Supported by
国家自然科学基金资助项目(61271263)
郭黎利 刘明夺 姜晓斐 . 沃尔什序列组的两个新性质及其推论[J]. 华南理工大学学报(自然科学版), 2013 , 41(6) : 35 -41 . DOI: 10.3969/j.issn.1000-565X.2013.06.007
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.
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