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

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• 作者：ChangYuan Wang ; DaiYuan Peng ; HongYu Han…
• 关键词：frequency ; hopping sequence ; maximum periodic partial Hamming correlation ; maximum periodic Hamming correlation ; low ; hit ; zone ; cartesian product ; 璺抽搴忓垪 ; 鏈€澶у懆鏈熼儴鍒嗘眽鏄庣浉鍏?/li> 鏈€澶у懆鏈熸眽鏄庣浉鍏?/li> 浣庣鎾炲尯 ; 绗涘崱灏旂Н ; 122301
• 刊名：SCIENCE CHINA Information Sciences
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：58
• 期：12
• 页码：1-15
• 全文大小：305 KB
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• 作者单位：ChangYuan Wang (1)
  DaiYuan Peng (1)
  HongYu Han (1)
  LiMengNan Zhou (1)
  
  1. Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, 610031, China
  
• 刊物类别：Computer Science
• 刊物主题：Chinese Library of Science
  Information Systems and Communication Service
  
• 出版者：Science China Press, co-published with Springer
• ISSN：1869-1919

文摘

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. Keywords frequency-hopping sequence maximum periodic partial Hamming correlation maximum periodic Hamming correlation low-hit-zone cartesian product