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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.
Based on this definition, we study the Barker code (ternary weighted Barker code) of three-valued map, and point out the non-periodic correlation function of the classic two-phase sequence The Barker code is a special case of the newly defined correlation functions and Barker codes. The newly defined Barker code is 21 more codewords than the original Barker code and finds 12 Barker codes of 6, 8 and 10 in total, and the original Barker code can be increased by three-valued weighting The main and auxiliary peak ratios (Barker code with code length of 7 increased by 3.5dB and code length increased with Barker code with code length increase by 3.52dB), the result of computer search proved that the three-valued Barker code with length greater than 13 and less than 26 does not exist .