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博弈條件下雷達(dá)波形設(shè)計(jì)策略研究

李偉 王泓霖 鄭家毅 徐建業(yè) 趙俊龍 鄒鯤

李偉, 王泓霖, 鄭家毅, 徐建業(yè), 趙俊龍, 鄒鯤. 博弈條件下雷達(dá)波形設(shè)計(jì)策略研究[J]. 電子與信息學(xué)報(bào), 2019, 41(11): 2654-2660. doi: 10.11999/JEIT190114
引用本文: 李偉, 王泓霖, 鄭家毅, 徐建業(yè), 趙俊龍, 鄒鯤. 博弈條件下雷達(dá)波形設(shè)計(jì)策略研究[J]. 電子與信息學(xué)報(bào), 2019, 41(11): 2654-2660. doi: 10.11999/JEIT190114
Wei LI, Honglin WANG, Jiayi ZHENG, Jianye XU, Junlong ZHAO, Kun ZOU. Research on Radar Waveform Design Strategy under Game Condition[J]. Journal of Electronics & Information Technology, 2019, 41(11): 2654-2660. doi: 10.11999/JEIT190114
Citation: Wei LI, Honglin WANG, Jiayi ZHENG, Jianye XU, Junlong ZHAO, Kun ZOU. Research on Radar Waveform Design Strategy under Game Condition[J]. Journal of Electronics & Information Technology, 2019, 41(11): 2654-2660. doi: 10.11999/JEIT190114

博弈條件下雷達(dá)波形設(shè)計(jì)策略研究

doi: 10.11999/JEIT190114
基金項(xiàng)目: 國家自然科學(xué)基金(61571456),航空科學(xué)基金(20160196001)
詳細(xì)信息
    作者簡介:

    李偉:男,1978年生,副教授,研究方向?yàn)樾麦w制雷達(dá)信號處理

    王泓霖:男,1995年生,博士生,研究方向?yàn)槔走_(dá)及電子戰(zhàn)系統(tǒng)

    鄭家毅:男,1991年生,助理工程師,研究方向?yàn)槔走_(dá)信號處理

    徐建業(yè):男,1992年生,博士生,研究方向?yàn)樾诺谰幋a及深度學(xué)習(xí)

    趙俊龍:男,1995年生,碩士生,研究方向?yàn)槔走_(dá)信號處理、雷達(dá)波形設(shè)計(jì)

    鄒鯤:男,1976年生,副教授,研究方向?yàn)槔走_(dá)信號處理、統(tǒng)計(jì)信號處理、復(fù)雜電磁環(huán)境下的目標(biāo)探測等

    通訊作者:

    王泓霖 wanghonglin821@outlook.com

  • 中圖分類號: TN951

Research on Radar Waveform Design Strategy under Game Condition

Funds: The National Natural Science Foundation of China (61571456), The Aeronautical Science Foundation of China (20160196001)
  • 摘要: 為提高電子戰(zhàn)中彈載雷達(dá)檢測性能,該文提出基于納什均衡的雷達(dá)波形設(shè)計(jì)方法。首先建立電子戰(zhàn)條件下雷達(dá)與干擾信號博弈模型,基于最大化信干噪比(SINR)準(zhǔn)則,分別設(shè)計(jì)了雷達(dá)和干擾的波形策略;然后通過數(shù)學(xué)推導(dǎo)論證了博弈納什均衡解的存在性,設(shè)計(jì)了一種重復(fù)剔除嚴(yán)格劣勢的多次迭代注水方法來實(shí)現(xiàn)納什均衡;通過二步注水法推導(dǎo)了非均衡的maxmin優(yōu)化方案;最后通過仿真實(shí)驗(yàn)測試不同策略下雷達(dá)檢測性能。仿真結(jié)果證明,基于納什均衡的雷達(dá)信號設(shè)計(jì)有助于提升博弈條件下雷達(dá)檢測性能,對比未博弈時(shí),雷達(dá)檢測概率最高可提升12.02%,較maxmin策略最高可提升3.82%,證明所設(shè)計(jì)的納什均衡策略更接近帕累托最優(yōu)。
  • 圖  1  彈載雷達(dá)發(fā)射-接收信號模型

    圖  2  不同注水策略下SINR變化情況

    圖  3  迭代周期內(nèi)SINR變化

    圖  4  信號功率分配策略

    圖  5  雷達(dá)波形功率譜設(shè)計(jì)

    圖  6  納什均衡雷達(dá)功率分配策略

    圖  7  maxmin雷達(dá)功率分配策略

    圖  8  不同策略間雷達(dá)檢測概率變化

    表  1  迭代注水算法

     (1) 初始化雙方策略) $\left| {S({f_k})} \right| = {\left| {S({f_k})} \right|_0}$, $J({f_k}) = J{({f_k})_0}$
     (2) 最大化雷達(dá)效益$\mathop {\max }\limits_{{\rm{SINR}}} \left( {{{\left| {S({f_k})} \right|}^*},\lambda } \right)$
     (3) 更新雷達(dá)策略$\left| {S({f_k})} \right| = {\left| {S({f_k})} \right|^ * }$
     (4) 最大化干擾效益$\mathop {\min }\limits_{{\rm{SINR}}} \left( {J{{({f_k})}^*},\gamma } \right)$
     (5) 更新干擾策略$J({f_k}) = J{({f_k})^ * }$
     (6) 重復(fù)步驟(2)—步驟(5)直到${\left| {S({f_k})} \right|^ * }$與$J{({f_k})^ * }$保持不變
    下載: 導(dǎo)出CSV

    表  2  各頻帶功率分配策略及性能

    策略子帶1(W)子帶2(W)子帶3(W)子帶4(W)子帶5(W)SINR(dB)檢測概率(%)運(yùn)算時(shí)間(s)
    納什均衡雷達(dá)7.03137.531218.232139.521627.68829.76152.721.537
    干擾6.39166.526118.062440.617228.4126
    maxmin雷達(dá)6.03374.344312.872040.547036.20279.55449.310.485
    干擾6.25897.710718.357339.650328.0359
    下載: 導(dǎo)出CSV
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  • 收稿日期:  2019-02-26
  • 修回日期:  2019-09-01
  • 網(wǎng)絡(luò)出版日期:  2019-09-05
  • 刊出日期:  2019-11-01

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