Journal of Computer Applications ›› 2015, Vol. 35 ›› Issue (4): 1185-1189.DOI: 10.11772/j.issn.1001-9081.2015.04.1185

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Optimization between multiple input multiple output radar signal and target interference based on Stackelberg game

LAN Xing, WANG Xingliang, LI Wei, WU Haotian, JIANG Mengran   

  1. Information and Navigation College, Air Force Engineering University, Xi'an Shaanxi 710077, China
  • Received:2014-10-28 Revised:2014-12-18 Online:2015-04-10 Published:2015-04-08

基于Stackelberg博弈的多输入多输出雷达信号与目标干扰优化

兰星, 王兴亮, 李伟, 吴昊天, 蒋孟燃   

  1. 空军工程大学 信息与导航学院, 西安710077
  • 通讯作者: 兰星
  • 作者简介:兰星(1991-),男,湖南岳阳人,硕士研究生,主要方向:MIMO雷达信号优化设计; 王兴亮(1957-),男,陕西渭南人,教授,主要研究方向:MIMO雷达; 李伟(1978-),男,山东济宁人,副教授,博士,主要研究方向:新体制雷达; 吴昊天(1990-),男,河南商丘人,硕士研究生,主要研究方向:MIMO雷达天线与信号设计; 蒋孟燃(1988-),男,四川绵阳人,硕士研究生,主要研究方向:导引头信号设计。
  • 基金资助:

    国家自然科学基金资助项目(61302153);航空科学基金资助项目(20122096011, 20140196003);航天科技创新基金资助项目(CASC020302)。

Abstract:

To solve the problem of the game of detection and stealth in the presence of clutter between Multiple Input Multiple Output (MIMO) radar and target, a new two-step water-filling was proposed. Firstly, space-time coding model was built. Then based on mutual information, water-filling was applied to distribute target interference power, and generalized water-filling was applied to distribute radar signal power. Lastly, optimization schemes in Stackelberg game of target dominant and radar dominant were achieved under strong and weak clutter. The simulation results indicate that both radar signal power allocation and trend of generalized water-filling level are affected by clutter, therefore two optimization schemes' mutual information in strong clutter environment is about half and interference factor decreases 0.2 and 0.25 separately, mutual information is less sensitive to interference. The availability of the proposed algorithm is proved.

Key words: Multiple Input Multiple Output (MIMO) radar, Mutual Information (MI), Stackelberg game

摘要:

针对实际杂波环境中多输入多输出(MIMO)雷达与目标间检测与隐身的博弈问题,提出一种新的两步注水算法。首先建立时空编码模型;然后基于互信息量准则,用注水法分配目标干扰功率,用通用注水法分配雷达信号功率;最终得到强弱杂波环境Stackelberg博弈中目标占优和雷达占优的优化方案。仿真结果表明,雷达信号功率分配和通用注水水位变化规律均受杂波影响,两优化方案的互信息量在强杂波环境降低约50%,干扰影响系数分别降低0.2和0.25,互信息量受干扰影响程度降低,证明了所提算法的有效性。

关键词: 多输入多输出雷达, 互信息量, Stackelberg博弈

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