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三值映射相关 Barker 码研究
引用本文:赵晓群,李炳新,王仲文,贾世楼. 三值映射相关 Barker 码研究[J]. 燕山大学学报, 1997, 0(1)
作者姓名:赵晓群  李炳新  王仲文  贾世楼
作者单位:燕山大学,北京电子科技学院,哈尔滨工业大学
摘    要:给出了二相序列非周期三值映射相关函数的定义,在该定义的基础上研究了三值映射相关Barker码(简称三值加权Barker码),指出经典的二相序列的非周期相关函数和Barker码是本文新定义的相关函数和Barker码的特例.新定义的Barker码比原意义的Barker码多21个码字,并找出长为6,8,10的Barker码共计12个,而且原意义下的Barker码经三值加权处理后,可提高主副峰比(码长为7的Barker码提高3.5dB,码长为11的Barker码提高3.52dB),计算机搜索结果证明长度大于13、小于26的三值加权Barker码是不存在的.

关 键 词:二相序列  自相关函数  Barker码  加权Barker码

Investigation of Barker Codes of Tri-mapping Correlation
Zhao Xiaoqun Li Bingxin Yanshan University Wang Zhongwen Beijing Electronic Technology Institute Jia Shilou Harbin Institute of Technology. Investigation of Barker Codes of Tri-mapping Correlation[J]. Journal of Yanshan University, 1997, 0(1)
Authors:Zhao Xiaoqun Li Bingxin Yanshan University Wang Zhongwen Beijing Electronic Technology Institute Jia Shilou Harbin Institute of Technology
Affiliation:Zhao Xiaoqun Li Bingxin Yanshan University Wang Zhongwen Beijing Electronic Technology Institute Jia Shilou Harbin Institute of Technology
Abstract:The correlation function of the aperiodic tri-jection for the bi-phase sequences is defined. Based on this, the Barker codes of tri-mapping correlation (called tri-weighted Barker codes for short) are also defined, the classical aperiodic correlation function of bi-phase sequences and the Barker codes are special cases of correlation function newly defined in this paper. The Barker codes defined are 21 codes more than the original Barker codes,include the Barker codes with length 6,8,10, the peak signal-to-sidelobe ratio will rise after tri-weighted for the original Barker codes (the Barker code with length 7 to 3.5dB, the Barker code with length 11 to 3.52dB). The result searched by computer proved that Barker codes of tri-weighted from length 14 up to length 26 is not exist.
Keywords:bi-phase sequence  autocorrelation function  Barker code  weighted Barker code  
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