针对杂波环境下的多个机动目标跟踪问题,本文将多模型概率假设密度(Multiple-model probability hypothesis density,MM-PHD)滤波器和平滑算法相结合,提出了MM-PHD前向–后向平滑器.为了避免引入复杂的随机有限集(Random finiteset,RFS...针对杂波环境下的多个机动目标跟踪问题,本文将多模型概率假设密度(Multiple-model probability hypothesis density,MM-PHD)滤波器和平滑算法相结合,提出了MM-PHD前向–后向平滑器.为了避免引入复杂的随机有限集(Random finiteset,RFS)理论,本文根据PHD的物理空间(Physical space)描述法推导得到了MM-PHD平滑器的后向更新公式.由于MM-PHD前向–后向平滑器的递推公式中包含有多个积分,因此它在非线性非高斯条件下没有解析的表达形式.故本文又给出了它的序贯蒙特卡洛(Sequential Monte Carlo,SMC)实现.100次蒙特卡洛(Monte Carlo,MC)仿真实验表明,与MM-PHD滤波器相比,MM-PHD平滑器能够更加精确地估计多个机动目标的个数和状态,但MM-PHD平滑器存在一定的时间滞后,并且需要耗费更大的计算代价.展开更多
In order to realize the aircraft trajectory prediction,a modified interacting multiple model(M-IMM) algorithm is proposed,which is based on the performance analysis of the standard interacting multiple model(IMM) algo...In order to realize the aircraft trajectory prediction,a modified interacting multiple model(M-IMM) algorithm is proposed,which is based on the performance analysis of the standard interacting multiple model(IMM) algorithm.In the proposed M-IMM algorithm,a new likelihood function is defined for the sake of updating flight mode probabilities,in which the influences of interacting to residual's mean error are taken into account and the assumption of likelihood function being a zero mean Gaussian function is discarded.Finally,the proposed M-IMM algorithm is applied to the simulation of the aircraft trajectory prediction,and the comparative studies are conducted to existing algorithms.The simulation results indicate the proposed M-IMM algorithm can predict aircraft trajectory more quickly and accurately.展开更多
文摘针对杂波环境下的多个机动目标跟踪问题,本文将多模型概率假设密度(Multiple-model probability hypothesis density,MM-PHD)滤波器和平滑算法相结合,提出了MM-PHD前向–后向平滑器.为了避免引入复杂的随机有限集(Random finiteset,RFS)理论,本文根据PHD的物理空间(Physical space)描述法推导得到了MM-PHD平滑器的后向更新公式.由于MM-PHD前向–后向平滑器的递推公式中包含有多个积分,因此它在非线性非高斯条件下没有解析的表达形式.故本文又给出了它的序贯蒙特卡洛(Sequential Monte Carlo,SMC)实现.100次蒙特卡洛(Monte Carlo,MC)仿真实验表明,与MM-PHD滤波器相比,MM-PHD平滑器能够更加精确地估计多个机动目标的个数和状态,但MM-PHD平滑器存在一定的时间滞后,并且需要耗费更大的计算代价.
基金National Natural Science Foundation of China(No.71401072)Natural Science Foundation of Jiangsu Province,China(No.BK20130814)Fundamental Research Funds for the Central Universities,China(No.NS2013064)
文摘In order to realize the aircraft trajectory prediction,a modified interacting multiple model(M-IMM) algorithm is proposed,which is based on the performance analysis of the standard interacting multiple model(IMM) algorithm.In the proposed M-IMM algorithm,a new likelihood function is defined for the sake of updating flight mode probabilities,in which the influences of interacting to residual's mean error are taken into account and the assumption of likelihood function being a zero mean Gaussian function is discarded.Finally,the proposed M-IMM algorithm is applied to the simulation of the aircraft trajectory prediction,and the comparative studies are conducted to existing algorithms.The simulation results indicate the proposed M-IMM algorithm can predict aircraft trajectory more quickly and accurately.
