A fast and accurate algorithm is established in this paper to increase the precision of ballistic trajectory prediction.The algorithm is based on the six-degree-of-freedom(6 DOF)trajectory equations,to estimate the pr...A fast and accurate algorithm is established in this paper to increase the precision of ballistic trajectory prediction.The algorithm is based on the six-degree-of-freedom(6 DOF)trajectory equations,to estimate the projectile attitude angles in every measuring time.Hereby,the algorithm utilizes the Davidon-Fletcher-Powell(DFP)method to solve nonlinear equations and Doppler radar trajectory test information containing only position coordinates of the projectile to reconstruct the angular information.The″position coordinates by the test″and″angular displacements by reconstruction″at the end phase of the radar measurement are used as an initial value for the trajectory computation to extrapolate the trajectory impact point.The numerical simulations validate the proposed method and demonstrate that the estimated impact point agrees very well with the real one.Morover,other artillery trajectory can be predicted by the algorithm,and other trajectory models,such as 4 DOF and 5 DOF models,can also be incorporated into the proposed algorithm.展开更多
为克服应用Least Mean Square(LMS),Normalized LMS(NLMS)或Recursive Least Square(RLS)算法估计二阶Volterra滤波器系数时参数选择不当引起的问题,提出了基于后验误差假设并具有可变收敛因子的Davidon-Fletcher-Powell(DFP)方法的二阶...为克服应用Least Mean Square(LMS),Normalized LMS(NLMS)或Recursive Least Square(RLS)算法估计二阶Volterra滤波器系数时参数选择不当引起的问题,提出了基于后验误差假设并具有可变收敛因子的Davidon-Fletcher-Powell(DFP)方法的二阶Volterra自适应滤波器(DFPSOVF).给出参数估计算法中自相关逆矩阵估计的递归更新公式,并对算法的计算复杂度进行了分析.应用DFPSOVF滤波器对纯净和不同信噪比下的Lorenz混沌时间序列以及实际采集的具有混沌特性的温度时间序列进行单步预测,仿真表明其能够保证算法的稳定性和收敛性,不存在LMS算法和NLMS算法的发散问题.展开更多
基金supported by the Research Fund for the Doctoral Program of Higher Education of China (No. 20133219110037)the Natural Science Foundation of China (No.11472135)the Program for New Century Excellent Talents in University(No.NCET-10-0075)
文摘A fast and accurate algorithm is established in this paper to increase the precision of ballistic trajectory prediction.The algorithm is based on the six-degree-of-freedom(6 DOF)trajectory equations,to estimate the projectile attitude angles in every measuring time.Hereby,the algorithm utilizes the Davidon-Fletcher-Powell(DFP)method to solve nonlinear equations and Doppler radar trajectory test information containing only position coordinates of the projectile to reconstruct the angular information.The″position coordinates by the test″and″angular displacements by reconstruction″at the end phase of the radar measurement are used as an initial value for the trajectory computation to extrapolate the trajectory impact point.The numerical simulations validate the proposed method and demonstrate that the estimated impact point agrees very well with the real one.Morover,other artillery trajectory can be predicted by the algorithm,and other trajectory models,such as 4 DOF and 5 DOF models,can also be incorporated into the proposed algorithm.
文摘为克服应用Least Mean Square(LMS),Normalized LMS(NLMS)或Recursive Least Square(RLS)算法估计二阶Volterra滤波器系数时参数选择不当引起的问题,提出了基于后验误差假设并具有可变收敛因子的Davidon-Fletcher-Powell(DFP)方法的二阶Volterra自适应滤波器(DFPSOVF).给出参数估计算法中自相关逆矩阵估计的递归更新公式,并对算法的计算复杂度进行了分析.应用DFPSOVF滤波器对纯净和不同信噪比下的Lorenz混沌时间序列以及实际采集的具有混沌特性的温度时间序列进行单步预测,仿真表明其能够保证算法的稳定性和收敛性,不存在LMS算法和NLMS算法的发散问题.
