电子学报 ›› 2008, Vol. 36 ›› Issue (7): 1334-1337.

• 论文 • 上一篇    下一篇

基于多项式理论的一类最优跳频序列族

刁哲军, 陈嘉兴, 刘志华   

  1. 河北师范大学,河北石家庄 050031
  • 收稿日期:2007-06-04 修回日期:2008-05-22 出版日期:2008-07-25 发布日期:2008-07-25

A New Family of Optimal Hopping Sequences Based upon Polynomial Theory

DIAO Zhe-jun, CHEN Jia-xing, LIN Zhi-hua   

  1. Hebei Normal University,Shijiazhuang 050031,China
  • Received:2007-06-04 Revised:2008-05-22 Online:2008-07-25 Published:2008-07-25

摘要: 本文提出了一类新的应用于跳频(FH)码分多址(CDMA)系统的最优跳频序列族的构造方法.这类跳频序列族的构造应用的是有限域上的多项式理论与判别式理论.本文给出了2次与3次多项式确定的多项式跳频序列族的构造方法,与已有构造方法相比较,此方法得到的跳频序列族具有最优汉明相关性质,且方法简单易行,所构造的最优多项式跳频序列可以做为军用抗干扰跳频通信系统的候选序列,有较强的应用前景.

关键词: 码分多址系统(CDMA), 跳频序列, 汉明相关

Abstract: In this paper,a new family of hopping sequences called an-optimal Hamming-correlation set for use in frequency-hopping(FH)code-division multiple-access(CDMA)system is proposed.The construction of the new hopping sequences is based upon the polynomial theory and discriminant theory over the finite field.The polynomial hopping sequences we present are based on polynomial with 2 degree and 3 degree.Comparing with the original method,this method can get hopping sequences with optimal Hamming-correlation and are good candidates for the anti-interference frequency-hopping communication systems in army.In addition the method for constructing the hopping sequences with optimal Hamming-correlation is very simple,feasible and has better applied foreground.

Key words: code-division multiple-access(CDMA), hopping sequences, Hamming-correlation

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