球坐标系下具有抗干扰能力的弹道导弹跟踪算法

Ballistic Missile Tracking Algorithm with Anti-Jamming Capability in Spherical Coordinates

针对弹道导弹突防过程中释放的有源多假目标欺骗干扰,提出了一种新的具有抗干扰能力的弹道导弹跟踪算法.该算法不仅能够利用球坐标系下线性量测的优点,有助于提高真目标的跟踪精度,而且能够实时估计出假目标的延迟距离,利用雷达滤波结果即能辅助鉴别有源假目标.首先,将假目标的延迟距离增广到球坐标系的状态矢量中,从理论上导出了弹道目标更一般意义下的运动方程;其次,利用球坐标下的扩展Kalman滤波(EKF)对延迟距离进行实时估计,延迟距离较小的判定为实体目标,延迟距离较大的判定为有源假目标;最后,分析了相关因素对跟踪和鉴别性能的影响.该方法的优点是跟踪鉴别的一体化和实时性.

Aiming at dealing with multiple active decoys deception jamming in the background of ballistic missile penetration,a new ballistic missile tracking algorithm with the capability of anti-jamming is proposed.By utilizing the advantage of measurement linearity in spherical coordinates,the algorithm can not only improve the tracking accuracy of true target,but also can estimate the delay range of active decoys in real time.The filtering result can be viewed as an auxiliary parameter to discriminate these active decoys. Firstly, the delay range is served as a state variable augmented to the spherical coordinate state vector. The theoretical motion model for ballistic targets is derived in a general way. Secondly, a spherical-coordinate based extended Kalman filter（EKF） is adopted to estimate the delay range and the smaller ones can be viewed as being from physical targets while the larger ones can be viewed as active decoys. Finally, performance analysis under the influence of related factors is also covered. The advantage of the algorithm lies in its real-time feature and integration of tracking and discrimination.