小波变换在舷外有源诱饵仿真模型验证中的应用
|
摘要
针对舷外有源诱饵仿真模型输出为非平稳随机信号的特点,提出了一种基于小波变换的仿真模型验证方法。验证策略是:通过确定小波函数,将实测和仿真信号分解为低频和高频两部分。对处于平稳状态的低频部分,采用最小二乘法进行参数拟合取得其特征数据;对于高频部分,采用AR模型进行参数拟合,将拟合参数作为其特征数据;利用相关系数法分别对低频和高频部分特征数据的一致性程度进行分析与计算,完成模型验证。按照该策略,利用典型应用态势下的外场试验数据,对舷外有源诱饵仿真模型进行了验证。应用表明,该方法有助于提高模型验证的准确性。
Aiming at the characteristics that the output signal of outboard active decoy simulation model is non-stationary random signal, a simulation model verification method based on wavelet transform is proposed. The measured and simulated signals are decomposed into low frequency and high frequency parts by determining the wavelet function. For the low frequency part with stationary state, the characteristic data is obtained by parameter fitting with the least square method. For the high frequency part, AR model is used to fit the parameters, and the fitting parameters are used as the characteristic data,The correlation coefficient method is used to analyze and calculate the consistency of the characteristic data of low frequency and high frequenc. According to this strategy, the outboard active decoy simulation modelis verified using the external field test data under the typical application situation. The result shows that the method is helpful for improving the accuracy of model validation.
Aiming at the characteristics that the output signal of outboard active decoy simulation model is non-stationary random signal, a simulation model verification method based on wavelet transform is proposed. The measured and simulated signals are decomposed into low frequency and high frequency parts by determining the wavelet function. For the low frequency part with stationary state, the characteristic data is obtained by parameter fitting with the least square method. For the high frequency part, AR model is used to fit the parameters, and the fitting parameters are used as the characteristic data,The correlation coefficient method is used to analyze and calculate the consistency of the characteristic data of low frequency and high frequenc. According to this strategy, the outboard active decoy simulation modelis verified using the external field test data under the typical application situation. The result shows that the method is helpful for improving the accuracy of model validation.
引文
[1]董德志,王江云,张平.基于OMLHD的仿真模型验证方法[J].北京航空航天大学学报,2013,39(6):766-770.Dong Dezhi,Wang Jiangyun,Zhang Ping.Simulation model verification method based on OMLHD[J].Journal of Beijing University of Aeronautics and Astronautics,2013,39(6):766-770.
[2]李亚男.仿真系统模型验证方法和工具研究[D].哈尔滨:哈尔滨工业大学,2008.Li Ya’nan.Research on model verification method and tool for simulation system[D].Harbin:Harbin Institute of Technology,2008.
[3]Law A M,Kelton W D.Simulation modeling and analysis[M].Second edition,Mc Graw-Hill,New York,2001.
[4]吴晓燕,杨丽娜,周延延,等.基于小波变换的仿真模型验证方法研究[J].空军工程大学学报,2008,9(6):52-55.Wu Xiaoyan,Yang Lina,Zhou Yanyan,et al.Research on simulation model verification method based on Wavelet Transform[J].Journal of Air Force Engineering University,2008,9(6):52-55.
[5]符文星,朱苏朋,王建华,等.小波变换在导弹仿真模型验证中的应用研究[J].弹箭与制导学报,2006,26(2):174-176.Fu Wenxing,Zhu Supeng,Wang Jianhua,et al.Application of wavelet transform in missile simulation model verification[J].Journal of Projectiles,Rockets,Missiles and Guidance,2006,26(2):174-176.
[6]Ewins D J.Model Validation for Structral Dynamics in the Aero-Engine Design[J].Frontiers of Energy and Power Engineering(S1673-7393),2009,3(4):480-491.
[7]许海龙,周水楼,李宏中.舰载舷外雷达有源诱饵作战应用和效能分析[J].电子信息对抗技术,2007,35(7):50.Xu Hailong,Zhou Shuilou,Li Hongzhong.Analysis of shipboard radar active decoy combat application and effectiveness[J].Electronic information warfare technology,2007,35(7):50.
[8]邓杏松.舰载舷外有源诱饵干扰效果研究与分析[J].舰船电子对抗,2011,12(12):42-45.Deng Xingsong.The research and analysis of the jamming effect of Shipborne outboard active decoy[J].Shipboard Electronic Countermeasure,2011,12(12):42-45.
[9]穆虹.防空导弹雷达导引头设计[M].北京:宇航出版社,1996:546.Mu Hong.Design of radar seeker for air defense missile[M].Beijing:Aerospace Press,1996:546.
[10]于凤琴.实用小波分析十讲[M].西安:西安电子科技大学出版社,2012:3-13.Yu Fengqin.Ten practical wavelets analysis[M].Xi'an:Xi'an Electronic and Science University press,2012:3-13.
[11]刘文钊,戚宗锋,洪丽娜,等.基于小波变换和经验模式分解的多路径误差提取及验证方法研究[J].舰船电子对抗,2012,35(1):86-89.Liu Wenzhao,Qi Zongfeng,Hong Lina,et al.Research on multi path error extraction and verification method based on wavelet transform and empirical mode decomposition[J].Shipboard Electronic Countermeasure,2012,35(1):86-89.
[12]Abdourrahmane M.On the Statistical Decorrelation of the Wavelet Packet Coefficients of A Band-Limitedwidesense Stationary Random Process[J].IEEE Transactions Signal Processing,2007,87(5):2320-2335.
[13]Yang F B,Wang X X.Combination method of conflictive confidence in D-S envidencetheory[M].Beijing:National Denfense Industry Press,2010:66-89.
[14]吴方.时频域分析方法在仿真模型验证中的应用研究[D].哈尔滨:哈尔滨工业大学,2013.Wu Fang.Application of time domain analysis method in simulation model verification[D].Harbin:Harbin Institute of Technology,2013.
[15]黄书华,姚宜斌,何军泉.利用总体最小二乘估计AR模型参数及其在变形监测中的应用[J].工程勘察,2013,12(12):41-43.Huang Shuhua,Yao Yibin,He Junquan.Estimation of AR model parameters by using total least squares and its application in deformation monitoring[J].Engineering Investigation,2013,12(12):41-43.
[16]黄文亮,刘丽明,顾振杰.舰载舷外有源诱饵载荷动态干扰效果仿真试验系统设计[J].舰船电子对抗,2013,36(2):74-77.Huang Wenliang,Liu Liming,Gu Zhenjie.Design of simulation system of shipboard active decoy jamming effect of dynamic load[J].Shipboard Electronic Countermeasure,2013,36(2):74-77.
[2]李亚男.仿真系统模型验证方法和工具研究[D].哈尔滨:哈尔滨工业大学,2008.Li Ya’nan.Research on model verification method and tool for simulation system[D].Harbin:Harbin Institute of Technology,2008.
[3]Law A M,Kelton W D.Simulation modeling and analysis[M].Second edition,Mc Graw-Hill,New York,2001.
[4]吴晓燕,杨丽娜,周延延,等.基于小波变换的仿真模型验证方法研究[J].空军工程大学学报,2008,9(6):52-55.Wu Xiaoyan,Yang Lina,Zhou Yanyan,et al.Research on simulation model verification method based on Wavelet Transform[J].Journal of Air Force Engineering University,2008,9(6):52-55.
[5]符文星,朱苏朋,王建华,等.小波变换在导弹仿真模型验证中的应用研究[J].弹箭与制导学报,2006,26(2):174-176.Fu Wenxing,Zhu Supeng,Wang Jianhua,et al.Application of wavelet transform in missile simulation model verification[J].Journal of Projectiles,Rockets,Missiles and Guidance,2006,26(2):174-176.
[6]Ewins D J.Model Validation for Structral Dynamics in the Aero-Engine Design[J].Frontiers of Energy and Power Engineering(S1673-7393),2009,3(4):480-491.
[7]许海龙,周水楼,李宏中.舰载舷外雷达有源诱饵作战应用和效能分析[J].电子信息对抗技术,2007,35(7):50.Xu Hailong,Zhou Shuilou,Li Hongzhong.Analysis of shipboard radar active decoy combat application and effectiveness[J].Electronic information warfare technology,2007,35(7):50.
[8]邓杏松.舰载舷外有源诱饵干扰效果研究与分析[J].舰船电子对抗,2011,12(12):42-45.Deng Xingsong.The research and analysis of the jamming effect of Shipborne outboard active decoy[J].Shipboard Electronic Countermeasure,2011,12(12):42-45.
[9]穆虹.防空导弹雷达导引头设计[M].北京:宇航出版社,1996:546.Mu Hong.Design of radar seeker for air defense missile[M].Beijing:Aerospace Press,1996:546.
[10]于凤琴.实用小波分析十讲[M].西安:西安电子科技大学出版社,2012:3-13.Yu Fengqin.Ten practical wavelets analysis[M].Xi'an:Xi'an Electronic and Science University press,2012:3-13.
[11]刘文钊,戚宗锋,洪丽娜,等.基于小波变换和经验模式分解的多路径误差提取及验证方法研究[J].舰船电子对抗,2012,35(1):86-89.Liu Wenzhao,Qi Zongfeng,Hong Lina,et al.Research on multi path error extraction and verification method based on wavelet transform and empirical mode decomposition[J].Shipboard Electronic Countermeasure,2012,35(1):86-89.
[12]Abdourrahmane M.On the Statistical Decorrelation of the Wavelet Packet Coefficients of A Band-Limitedwidesense Stationary Random Process[J].IEEE Transactions Signal Processing,2007,87(5):2320-2335.
[13]Yang F B,Wang X X.Combination method of conflictive confidence in D-S envidencetheory[M].Beijing:National Denfense Industry Press,2010:66-89.
[14]吴方.时频域分析方法在仿真模型验证中的应用研究[D].哈尔滨:哈尔滨工业大学,2013.Wu Fang.Application of time domain analysis method in simulation model verification[D].Harbin:Harbin Institute of Technology,2013.
[15]黄书华,姚宜斌,何军泉.利用总体最小二乘估计AR模型参数及其在变形监测中的应用[J].工程勘察,2013,12(12):41-43.Huang Shuhua,Yao Yibin,He Junquan.Estimation of AR model parameters by using total least squares and its application in deformation monitoring[J].Engineering Investigation,2013,12(12):41-43.
[16]黄文亮,刘丽明,顾振杰.舰载舷外有源诱饵载荷动态干扰效果仿真试验系统设计[J].舰船电子对抗,2013,36(2):74-77.Huang Wenliang,Liu Liming,Gu Zhenjie.Design of simulation system of shipboard active decoy jamming effect of dynamic load[J].Shipboard Electronic Countermeasure,2013,36(2):74-77.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |