The joint probability density fimction （PDF） of different structural responses is a very important topic in the stochastic response analysis of nonlinear structures. In this paper, the probability density evolution ...The joint probability density fimction （PDF） of different structural responses is a very important topic in the stochastic response analysis of nonlinear structures. In this paper, the probability density evolution method, which is successfully developed to capture the instantaneous PDF of an arbitrary single response of interest, is extended to evaluate the joint PDF of any two responses. A two-dimensional partial differential equation in terms of the joint PDF is established. The strategy of selecting representative points via the number theoretical method and sieved by a hyper-ellipsoid is outlined. A two-dimensional difference scheme is developed. The free vibration of an SDOF system is examined to verify the proposed method, and a flame structure exhibiting hysteresis subjected to stochastic ground motion is investigated. It is pointed out that the correlation of different responses results from the fact that randomness of different responses comes from the same set of basic random parameters involved. In other words, the essence of the probabilistic correlation is a physical correlation.展开更多
针对杂波环境下面向无源协同定位系统的多目标跟踪问题,提出一种基于KL散度(Kullback-Leibler Divergence,KLD)的联合概率数据关联算法(Joint Probabilistic Data Association,JPDA)。首先,在联合概率数据关联框架内计算关联事件的后验...针对杂波环境下面向无源协同定位系统的多目标跟踪问题,提出一种基于KL散度(Kullback-Leibler Divergence,KLD)的联合概率数据关联算法(Joint Probabilistic Data Association,JPDA)。首先,在联合概率数据关联框架内计算关联事件的后验概率密度函数,并计算该函数与高斯概率密度函数之间的KLD。其次,将KLD作为代价函数优化关联事件的后验概率密度函数。最后,根据优化的后验概率密度函数对目标状态进行估计。仿真结果表明,所提算法能有效解决杂波环境下多目标跟踪问题,提高跟踪性能。展开更多
基金the National Natural Science Foundation of Chinafor Innovative Research Groups Under Grant No.50621062the National Natural Science Foundation of China forYoung Scholars Under Grant No.10402030
文摘The joint probability density fimction （PDF） of different structural responses is a very important topic in the stochastic response analysis of nonlinear structures. In this paper, the probability density evolution method, which is successfully developed to capture the instantaneous PDF of an arbitrary single response of interest, is extended to evaluate the joint PDF of any two responses. A two-dimensional partial differential equation in terms of the joint PDF is established. The strategy of selecting representative points via the number theoretical method and sieved by a hyper-ellipsoid is outlined. A two-dimensional difference scheme is developed. The free vibration of an SDOF system is examined to verify the proposed method, and a flame structure exhibiting hysteresis subjected to stochastic ground motion is investigated. It is pointed out that the correlation of different responses results from the fact that randomness of different responses comes from the same set of basic random parameters involved. In other words, the essence of the probabilistic correlation is a physical correlation.
文摘针对杂波环境下面向无源协同定位系统的多目标跟踪问题,提出一种基于KL散度(Kullback-Leibler Divergence,KLD)的联合概率数据关联算法(Joint Probabilistic Data Association,JPDA)。首先,在联合概率数据关联框架内计算关联事件的后验概率密度函数,并计算该函数与高斯概率密度函数之间的KLD。其次,将KLD作为代价函数优化关联事件的后验概率密度函数。最后,根据优化的后验概率密度函数对目标状态进行估计。仿真结果表明,所提算法能有效解决杂波环境下多目标跟踪问题,提高跟踪性能。
