Advanced Search
Volume 29 Issue 9
Jan.  2011
Turn off MathJax
Article Contents
Li Tian-yun, Xu Man-kun, Ge Lin-dong. Doubly Stochastic Matrices Model of DFH G-Function and Its Application[J]. Journal of Electronics & Information Technology, 2007, 29(9): 2182-2186. doi: 10.3724/SP.J.1146.2006.00231
Citation: Li Tian-yun, Xu Man-kun, Ge Lin-dong. Doubly Stochastic Matrices Model of DFH G-Function and Its Application[J]. Journal of Electronics & Information Technology, 2007, 29(9): 2182-2186. doi: 10.3724/SP.J.1146.2006.00231

Doubly Stochastic Matrices Model of DFH G-Function and Its Application

doi: 10.3724/SP.J.1146.2006.00231 cstr: 32379.14.SP.J.1146.2006.00231
  • Received Date: 2006-03-06
  • Rev Recd Date: 2006-09-07
  • Publish Date: 2007-09-19
  • In this paper, the properties of doubly stochastic matrices and doubly stochastic Markov chains are researched from the viewpoints of the classification of states and equilibrium distributions. These properties are applicable to the analysis and modeling of differential frequency hopping G-functions. It is proved that the doubly stochastic matrix model of G-functions is complete in terms of the state transitions uniformity. Based on this mathematic model, a periodic grouping method is proposed to design G-functions by regarding the state transition as a periodic doubly stochastic Markov chain, and it can achieve good performance both in error-correcting and in frequency interval.
  • loading
  • Herrick D L and Lee P K. CHESS: A new reliable high speed HF radio [J]. Proc. MILCOM'96, Washington, DC, 1996: 684-690.Herrick D L, Lee P K, and Ledlow L L. Correlated frequency hopping: An improved approach to HF spread spectrum communications [J]. Proc. Tactical Communications Conference, Washington, DC, 1996: 319-324.[2]李天昀, 葛临东. 相关跳频序列的Viterbi译码算法及其纠错性能分析[J].电子与信息学报.2005, 27(8):1282-1286浏览[3]李明, 戚仁华, 朱红琛. 短波宽带快速跳频通信技术研究[J]. 通信技术, 2000, (3): 34-37. Li Ming, Qi Ren-hua, and Zhu Hong-chen. The study of HF frequency hopping communication technology [J]. Communications Technology, China, 2000, (3): 34-37.[4]刘忠英, 万谦, 姚富强. 基于可加性模糊系统原理的差分跳频G函数算法[J]. 电子学报, 2002, 30(5): 647-650. Liu Zhong-ying, Wan Qian, and Yao Fu-qiang. DFH G function algorithm based on additivity fuzzy system principle [J]. Acta Electronica Sinica, 2002, 30(5): 647-650.[5]杨裕亮, 何遵文, 匡镜明. 差分跳频系统的转移函数研究[J]. 通信学报, 2002, 23(4): 103-108. Yang Yu-liang, He Zun-wen, and Kuang Jing-ming. Research on the transition function of differential frequency hopping [J]. Journal of China Institute of Communications, 2002, 23(4): 103-108.[6]潘武, 周世东, 姚彦. 差分跳频通信系统性能分析[J]. 电子学报, 1999, 27(11A): 102-104. Pan Wu, Zhou Shi-dong, and Yao Yan. Performance analysis of differential frequency hopping communication system [J]. Acta Electronica Sinica, 1999, 27(11A): 102-104.[7]易大进, 杨千里. 基于仿射密码原理的差分跳频频率转移函数研究[J]. 空军工程大学学报(自然科学版), 2005, 6(3): 50-52. Yi Da-jin and Yang Qian-li. Study of DFH frequency transition function based on the principle of affine cipher [J]. Journal of Air Force Engineering University (Natural Science Edition), 2005, 6(3): 50-52.[8]王梓坤. 随机过程通论[M]. 北京: 北京师范大学出版社, 1996: 39-67. Wang Zik-un. Theories of Stochastic Process [M]. Beijing: Beijing Normal University Press, 1996: 39-67.梅文华, 杨义先. 跳频通信地址编码理论[M]. 北京: 国防工业出版社, 1996: 27-29. Mei Wen-hua and Yang Yi-xian. Access Coding Theories of Frequency Hopping Communication [M]. Beijing: National Defence Industry Press, 1996: 27-29.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (3530) PDF downloads(804) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return