Multi-sensor Probability Hypothesis Density Algorithm in Multi-target Filtering
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摘要: 多传感器情况下的多目标概率假设密度(PHD)滤波是建立在假设模型上实现的。该文用随机有限集(RFS)方法描述多目标状态空间和传感器量测空间,分析了多传感器通用假设模型下的探测概率、似然函数和杂波分布,在此基础上利用概率产生泛函(PGFL)推导出了多传感器PHD滤波递归式,进而提出粒子标记法多传感器贯序蒙特卡洛PHD(SMC-PHD)滤波等价实现算法,降低了多传感器PHD滤波的计算复杂度。最后给出了算法的具体实现,得到了良好的多目标数目和可跟踪多目标状态的估计。Abstract: Multi-target filtering using Probability Hypothesis Density (PHD) in multi-sensor case is based on assumption model to avoid being computationally intractable. Based on describing target state space and sensor observation space by Random Finite Set (RFS) method, and on the analysis of detection probability, likelihood function and clutter distribution under the multi-sensor universal assumption model, the multi-sensor version of multi-target PHD filter is constructed by Probability Generating Functional (PGFL), the multi-sensor labeling particle Sequential Monte Carlo PHD (SMC-PHD) filtering algorithm is presented to implement this fiter with lower computational complexity. Finally, the better estimation of target number and track-valued state are obtained by simulation.
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