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复制生成序列的自相关函数研究
引用本文:张凤元,吴今培,张其善.复制生成序列的自相关函数研究[J].信号处理,2004,20(3):241-244.
作者姓名:张凤元  吴今培  张其善
作者单位:1. 五邑大学电子信息工程学院,江门,529020
2. 北京航空航天大学电子信息工程学院,北京,100083
摘    要:介绍了以二进制码为复制信息,用平移复制生成序列的方法。讨论了复制生成序列的性质和复制生成序列的自相关函数的性质。依据序列的复制特性,给出了一个复制生成序列自相关函数的计算公式,并给出了自相关函数值为零的一个充要条件,及相应的数学证明。最后讨论了Paley顺序的离散Walsh函数的自相关函数。

关 键 词:序列  自相关函数  复制生成  二进制码
修稿时间:2003年7月16日

The autocorrelation functions of sequences generated by copying
Zhang Fengyuan,Wu jinpei,Zhang Qishan School of electronics and information engineering,Wuyi University,Jiangmen, School of electronics and information engineering,Beijing University of Aeronautics and Astronautcs,Beijing.The autocorrelation functions of sequences generated by copying[J].Signal Processing,2004,20(3):241-244.
Authors:Zhang Fengyuan  Wu jinpei  Zhang Qishan School of electronics and information engineering  Wuyi University  Jiangmen  School of electronics and information engineering  Beijing University of Aeronautics and Astronautcs  Beijing
Affiliation:Zhang Fengyuan,Wu jinpei,Zhang Qishan School of electronics and information engineering,Wuyi University,Jiangmen,529020 School of electronics and information engineering,Beijing University of Aeronautics and Astronautcs,Beijing,100083
Abstract:The method of shift-copy generating sequence by binary code copy information is presented. The autocorrelation function and property of sequence are also discussed. Accorcding to copy property of sequence, the formula of correlation function is given. The condition that correlation function is equal to zero and corresponding proof are given. At last the autocorrelation functions of P-ordering and W-ordering discrete Walsh functions are discussed.
Keywords:sequence  autocorrelation function  copy generating  binary code
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