New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation

查看全文 作　　者：WANG [1]ChangYuan;PENG [1]DaiYuan;HAN [1]HongYu;ZHOU [1]LiMengNan

机构地区：[1]Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications,Southwest Jiaotong University

出　　处：《Science China Chemistry》索引2015年第58卷第12期,共15页

基　　金：supported by National Natural Science Foundation of China(Grant No.61271244);Key Grant Project of Ministry of Education of China(Grant No.311031 100);Young Innovative Research Team of Sichuan Province(Grant No.2011JTD0007) 摘　　要：Recently, Chung et al. gave a general method to construct frequency-hopping sequence set(FHS set) with low-hit-zone(LHZ FHS set) by the Cartesian product. In their paper, Theorems 5 and 8 claim that k FHS sets whose maximum periodic Hamming correlation is 0 at the origin result in an LHZ FHS set based on the Cartesian product, and Proposition 4 presented an upper bound of the maximum periodic Hamming correlation of FHSs. However, their statements are imperfect or incorrect. In this paper, we give counterexamples and make corrections to them. Furthermore, based on the Cartesian product, we construct two classes of LHZ FHS sets with optimal maximum periodic partial Hamming correlation property. It is shown that new FHS sets are optimal by the maximum periodic partial Hamming correlation bound of LHZ FHS set. 关键词：跳频序列周期命中率笛卡尔积 FHS 汉明相关相关跳频相关特性

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New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation

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