基于Bayesian-MCMC估计的隐身飞机RCS模型优化

代小霞; 曹晨; 冯圆

doi:10.13700/j.bh.1001-5965.2015.0248

基于Bayesian-MCMC估计的隐身飞机RCS模型优化

doi: 10.13700/j.bh.1001-5965.2015.0248

代小霞^1,2,
曹晨^2, ,,
冯圆²

1.
电子科技大学电子工程学院, 成都 611731
2. 中国电子科学研究院, 北京 100041

基金项目: 国家“863”计划(2012AA01A308);国家“973”计划(613206)

详细信息

作者简介:
代小霞女,硕士研究生。主要研究方向:雷达信号处理与雷达目标特性。 Tel.: 17090084855 E-mail: daixiaoxia5221@163.com;曹晨男,博士,研究员级高级工程师,博士生导师。主要研究方向:信息系统总体设计。 Tel.: 010-68893538 E-mail: caochen998@sina.cn;冯圆男,博士研究生。主要研究方向:计算电磁学。 Tel.: 15801074616 E-mail: fy-zbh@163.com

通讯作者:
曹晨, Tel.: 010-68893538 E-mail: caochen998@sina.cn

中图分类号: TN957.51;V218
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- 被引次数: 0
出版历程
- 收稿日期: 2015-04-24
- 修回日期: 2015-07-31
- 网络出版日期: 2016-04-20

Optimization on stealth aircraft RCS models using Bayesian-MCMC estimation

DAI Xiaoxia^1,2,
CAO Chen^{2
, ,},
FENG Yuan²

1.
School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
2. China Academy of Electronics and Information Technology, Beijing 100041, China

Funds: National High-tech Research and Development Program of China (2012AA01A308);National Basic Research Program of China (613206)

摘要

摘要: 对隐身飞机的雷达散射截面(RCS)统计建模时,传统方法通过直接计算RCS样本的统计特征估计模型参数,可能会产生较大的拟合误差。本文提出采用贝叶斯-蒙特卡罗(Bayesian-MCMC )方法提高起伏模型的参数估计精度,从而减小模型的拟合误差。首先将卡方分布模型和对数正态分布模型进行贝叶斯推导,得到其特征参数的后验估计表达式。然后采用MCMC算法构造后验分布的马尔可夫链,从而计算特征参数的估计值。最后通过比较2种方法的拟合曲线及其误差可知,本文方法适用于2种起伏模型,模型参数的估计误差比收敛误差门限值低1~2个数量级,2种分布模型的拟合精度均提高50%以上。
- 隐身 /
- 雷达散射截面(RCS) /
- 起伏模型 /
- 贝叶斯-蒙特卡罗 /
- 拟合优度检验
Abstract: When statistically modeling a stealth aircraft, conventional methods estimate characteristic parameters via calculating the statistics of radar cross section (RCS) directly, which may lead to relatively large fitting errors. Therefore,we introduce the Bayesian-Markov chain Monte Carlo (Bayesian-MCMC) method to improve the parameter accuracy so as to reduce the fitting errors. The posterior parameter estimators of the Chi-square and lognormal models are derived in the Bayesian framework. Then the MCMC sampling algorithm is adopted to calculate the parameter estimates by constructing Markov chains. Numerical results show that the estimation errors of the proposed method are 1-2 orders of magnitude lower than the error convergence threshold. Besides, the proposed method is suitable for both target fluctuation models and improves the curve fitting accuracy by more than 50%.
- stealth /
- radar cross section(RCS) /
- fluctuation model /
- Bayesian-Markov chain Monte Carlo /
- goodness-of-fit test

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参考文献(17)

[1]	CUI G, DE MAIO A,PIEZZO M.Performance prediction of the incoherent radar detector for correlated generalized Swerling-Chi fluctuating targets[J].IEEE Transactions on Aerospace and Electronic Systems,2013,49(1):356-368.
[2]	岳奎志,孙聪, 姬金祖.双立尾对战斗机隐身特性的数值模拟[J].北京航空航天大学学报,2014,40(2):160-165. YUE K Z,SUN C,JI J Z.Numerical simulation on the stealth characteristics of twin-vertical-tails for fighter[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(2): 160-165(in Chinese).
[3]	ZIKIDIS K, SKONDRAS A,TOKAS C.Low observable principles,stealth aircraft and anti-stealth technologies[J].Journal of Computations & Modeling,2014,4(1):129-165.
[4]	SWERLING P. Probability of detection for fluctuating targets[J].IRE Transactions on Information Theory,1960,6(2):269-308.
[5]	SONG X F, BLAIR W D,WILLETT P,et al.Dominant-plus-Rayleigh models for RCS:Swerling Ⅲ/Ⅳ versus Rician[J].IEEE Transactions on Aerospace and Electronic Systems,2013,49(3):2058-2064.
[6]	黄培康,殷红成, 许小剑.雷达目标特征[M].北京:电子工业出版社,2010:112-117. HUANG P K,YIN H C,XU X J.Radar target characteristics[M].Beijing:Publishing House of Electronic Industry,2010:112-117(in Chinese).
[7]	XU X J, HUANG P K.A new RCS statistical model of radar targets[J].IEEE Transactions on Aerospace and Electronic Systems,1997,33(2):710-714.
[8]	史伟强,徐乐, 史小卫,等.基于完备对数正态分布模型的隐形飞行器动态RCS统计特性研究[J].电子与信息学报,2013,35(9):2121-2125. SHI W Q,XU L,SHI X W,et al.Dynamic RCS statistic characterization of stealth aircraft using complete lognormal distribution[J].Journal of Electronics ＆ Information Technology,2013,35(9):2121-2125(in Chinese).
[9]	陈世春,黄沛霖, 姬金祖.典型隐身飞机的 RCS 起伏统计特性研究[J].航空学报,2014,35(12):3304-3314. CHEN S C,HUANG P L,JI J Z.Research on radar cross section fluctuation characteristics of typical stealth aircrafts[J].Acta Aeronautica et Astronautica Sinica,2014,35(12):3304-3314(in Chinese).
[10]	PAOLO G, GEOF H G,BANI K M.Bayesian modeling using WinBUGS[M].Hoboken:John Wiley & Sons,Inc.,2009:25-30.
[11]	LI Y,SONG S B. Bayesian estimation of parameters for pearson III distribution[C]//IEEE International Symposium on Water Resource and Environmental Protection(ISWREP).Piscataway,NJ:IEEE Press,2011:630-632.
[12]	SHENG Z. The estimation of lower refractivity uncertainty from radar sea clutter using the Bayesian-MCMC method[J].Chinese Physics B,2013,22(2):029302.
[13]	GASEMYR J. The spectrum of the independent Metropolis-Hastings algorithm[J].Journal of Theoretical Probability,2006,19(1):152-165.
[14]	马洪斌,马岩, 杨春梅,等.基于Metropolis-Hastings算法的 α 稳定分布参数估计[J].电机与控制学报,2012,16(12):94-98. MA H B,MA Y,YANG C M,et al.Parameter estimation of α-stable distribution using Metropolis-Hastings algorithm[J].Electrical Machines and Control,2012,16(12):94-98(in Chinese).
[15]	陈平,徐若曦. Metropolis-Hastings自适应算法及其应用[J].系统工程理论与实践,2008,28(1):100-108. CHEN P,XU R X.Metropolis-Hastings adaptive algorithm and its application[J].Systems Engineering-Theory & Practice,2008,28(1):100-108(in Chinese).
[16]	盛峥,黄思训,曾国栋.利用Bayesian-MCMC方法从雷达回波反演海洋波导[J].物理学报,2009,58(6):4335-4341. SHENG Z,HUANG S X,ZENG G D.Ocean duct inversion from radar clutter using Bayesian-Markov chain Monte Carlo method[J].Acta Physica Sinica,2009,58(6):4335-4341(in Chinese).
[17]	白振东,刘虎, 武哲.低可探测机身参数化造型与优化[J].北京航空航天大学学报,2007,33(12):1391-1394. BAI Z D,LIU H,WU Z.Parametric modeling and optimization of low observability fuselage in aircraft conceptual design[J].Journal of Beijing University of Aeronautics and Astronautics,2007,33(12):1391-1394(in Chinese).