Abstract

The multi-target tracking filter under the Bayesian framework has strict requirements on the prior information of the target, such as detection probability density, clutter density, and target initial position information. This paper proposes a novel robust measurement-driven cardinality balance multi-target multi-Bernoulli filter (RMD-CBMeMBer) for solving the multiple targets tracking problem when the detection probability density is unknown, the background clutter density is unknown, and the target’s prior position information is lacking. In RMD-CBMeMBer filtering, the target state is first extended, so that the extended target state includes detection probability, kernel state, and indicators of target and clutter. Secondly, the detection probability is modeled as a Beta distribution, and the clutter is modeled as a clutter generator that is independent of each other and obeys the Poisson distribution. Then, the detection probability, kernel state, and clutter density are jointly estimated through filtering. In addition, the correlation function (CF) is proposed for creating new Bernoulli component (BC) by using the measurement information at the previous moment. Numerical experiments have verified that the RMD-CBMeMBer filter can solve the multi-target tracking problem under the condition of unknown target detection probability, unknown background clutter density and inadequate prior position information of the target. It can effectively estimate the target detection probability and the clutter density.

Highlights

  • Multi-target tracking (MTT) is a key technology in both military [1] and civilian [2]fields

  • The early processing method is to divide the multi-target into multiple single targets and obtain the joint estimation result of the target state and number, such as joint probabilistic data association [3] (JPDA) filter and multiple hypothesis tracking [4] (MHT) filter

  • This paper proposes a new RMD-CBMeMBer filter in order to solve the multi-target tracking problem in the case of unknown background and lack of target prior information

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Summary

Introduction

Multi-target tracking (MTT) is a key technology in both military [1] and civilian [2]. In all the MTT filters mentioned above, the new target is modeled as a distribution with a fixed mean and covariance, and the posterior probability density of this distribution is predicted and updated to realize the estimation of the multi-target state. In order to solve the multi-target tracking problem in case the target detection probability density is unknown, the clutter density is unknown, and the target’s prior position information is lacking, this paper proposes a new robust measurement-driven cardinality balance multi-target multi-Bernoulli (RMD-CBMeMBer) filter.

State Motion Model
Measurement Model and Bayes Rule
RMD-CBMeMBer Filter
Prediction of RMD-CBMeMBer Filter
Update of RMD-CBMeMBer Filter
State Extraction
Particle Implementation
Prediction
Update
Experimental Environment
Experimental Analysis
Conclusions

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