伯努利滤波器在纯角度跟踪场景中的应用

Application of Bernoulli filter in bearings-only tracking scenarios

  • 摘要: 所获得信息只包含角度信息的传感器被称为纯角度传感器,基于纯角度传感器的目标跟踪被称之为纯角度跟踪(Bearings-only Tracking,BOT)。BOT是目标跟踪领域的重要课题,在被动目标跟踪场景中能够发挥重要作用。伯努利滤波器(Bernoulli Filter,BF)是贝叶斯框架内的最优单目标滤波器,可以求得目标的存在概率和完整的后验概率密度函数,并判断目标出现和消失。作者将伯努利滤波器应用于纯角度跟踪场景下的单目标跟踪问题,提出了一种纯角度跟踪伯努利滤波器。在所提出的滤波器中,将目标相对于传感器的角度及其变化率作为状态矢量,用于估计目标是否存在;若目标存在,估计其状态信息。同时,还给出了所提出滤波器的粒子滤波(Particle Filter,PF)实现方法。仿真结果显示,与普通伯努利滤波器相比,所提出的纯角度跟踪伯努利滤波器能够更好地判断目标是否存在,同时滤波器对于目标估计的误差也更小。因此,所提出的滤波器具有更好的跟踪性能和更高的跟踪精度,能够有效应用于被动跟踪场景中。

     

    Abstract: The sensor whose information only contains angle information is called bearings-only sensor, and the target tracking based on bearings-only sensor is called bearings-only tracking (BOT). BOT is an important topic in the field of target tracking and will play an important role in passive target tracking surveillance. Bernoulli filter (BF) is the best single target filter within the Bayesian framework. It can obtain the existence probability of the target and the complete posterior probability density function, and judge the appearance and disappearance of the target. The Bernoulli filter was applied to single target tracking in the bearings-only tracking surveillance, and a bearings-only tracking Bernoulli filter was proposed. In the proposed filter, the angle of the target relative to the sensor and its change rate were used as the state vectors to estimate the existence of the target as well as the target state. At the same time, the particle filter (PF) implementation was proposed, too. The simulation results show that, compared with the ordinary Bernoulli filter, the proposed bearings-only tracking Bernoulli filter can judge the existence of the target better, and the error of the target estimation generated by the filter is smaller. Thus, the proposed filter has better tracking performance and higher tracking accuracy, which can be effectively applied to the passive tracking scenarios.

     

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