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arXiv 2103.10396eess.SP
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多传感器标记多Bernoulli滤波器的有效逼近

Efficient approximations of the multi-sensor labelled multi-Bernoulli filter

S. C. J. Robertson, C. E. van Daalen, J. A. du Preez

摘要:

在本文中,我们提出了两个有效的,近似公式的多传感器标记的多伯努利(LMB)滤波器,这两个允许传感器的测量更新并行计算。我们的第一个过滤器是基于多传感器,多目标贝叶斯滤波器的后验分布的直接数学运算。不幸的是,它需要划分的概率分布和它的扩展超出线性高斯应用是不明显的。我们的第二个过滤器是基于几何平均融合,它近似的多传感器,多目标贝叶斯滤波器的后验分布使用每个传感器的测量更新分布的几何平均值。这个滤波器可以在非线性条件下使用;但是,它不如我们的第一个滤波器精确。在这两种情况下,我们近似的LMB滤波器的测量更新使用现有的循环的信念传播算法。两种滤波器在传感器数量上具有恒定的复杂度,在测量和对象数量上具有线性复杂度。这是对迭代校正LMB(IC-LMB)滤波器的改进,该滤波器在传感器数量上具有线性复杂度。当使用多个传感器跟踪多个对象时,所提出的滤波器是感兴趣的,其中滤波器运行时间比滤波器精度更重要。我们评估了两种滤波器在模拟数据上的性能,结果表明,与IC-LMB滤波器相比,滤波器的精度损失并不显著。

英文摘要:

In this paper, we propose two efficient, approximate formulations of the multi-sensor labelled multi-Bernoulli (LMB) filter, which both allow the sensors' measurement updates to be computed in parallel. Our first filter is based on the direct mathematical manipulation of the multi-sensor, multi-object Bayes filter's posterior distribution. Unfortunately, it requires the division of probability distributions and its extension beyond linear Gaussian applications is not obvious. Our second filter is based on geometric average fusion and it approximates the multi-sensor, multi-object Bayes filter's posterior distribution using the geometric average of each sensor's measurement-updated distribution. This filter can be used under non-linear conditions; however, it is not as accurate as our first filter. In both cases, we approximate the LMB filter's measurement update using an existing loopy belief propagation algorithm. Both filters have a constant complexity in the number of sensors, and linear complexity in both number of measurements and objects. This is an improvement on an iterated-corrector LMB (IC-LMB) filter, which has linear complexity in the number of sensors. The proposed filters are of interest when tracking many objects using several sensors, where filter run-time is more important than filter accuracy. We evaluate both filters' performances on simulated data and the results indicate that the filters' loss of accuracy compared to the IC-LMB filter is not significant.

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