Abstract

Underwater bearings-only multitarget tracking has many advantages, and the probabilistic multiple hypothesis tracking (PMHT) is an elegant algorithm for multitarget tracking problem. However, the basic PMHT has following weakness: 1) the targets' posterior probability may convergent to the local maximum, which would degrade the tracking accuracy and 2) the tracking performance is sensitive to the targets' initialization. In order to overcome these weaknesses, this paper proposes a modified PMHT algorithm. The key idea of the modified PMHT algorithm is that it allows the bearings measurements at one scan come from any Gaussian density, which has the same mean and different covariance with the same target. In addition, the modified PMHT algorithm uses the deterministic annealing to reduce the dependence on the targets' initialization. To deal with the nonlinear bearings measurements, the paper uses the unscented Kalman smoother to update the target states. The simulation treats the cross moving targets and closely spaced targets for both multiple stationary sensors and single maneuvering sensor scenarios in a dense clutter environment. The simulation results show the superiority of the modified PMHT algorithm over the basic PMHT algorithm respect to accuracy and robustness for underwater bearings-only multitarget tracking problem when setting a relatively bad initialization value.

Highlights

  • Multitarget tracking problem has attracted more and more attention all over the world in these years, especially in military and civil industries

  • The underwater bearings-only multitarget tracking problem in dense clutter environment is of great interest in sonar applications [1]–[3]

  • For the underwater bearings-only multitarget tracking problem in clutter environment, the data gathered at different passive sensors may include false measurements which must be removed

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Summary

INTRODUCTION

Multitarget tracking problem has attracted more and more attention all over the world in these years, especially in military and civil industries. X. Li et al.: Underwater Bearings-Only Multitarget Tracking Based on Modified PMHT in Dense-Cluttered Environment measurements to get targets’ states. For the underwater bearings-only multitarget tracking problem in clutter environment, the data gathered at different passive sensors may include false measurements (clutters) which must be removed. Note that the data association assignments between targets and bearings measurements are unknown for the underwater bearings-only multitarget tracking in clutter environment. The PMHT is a batch algorithm, which eagers to embrace any new ‘‘old’’ measurement within its batch, provides a natural means to incorporate the out of sequence measurements In other words, it processes a batch of measurements from several time steps, which is in particular beneficial in case of a low observability, such as underwater bearing-only multitarget tracking.

PROBLEM DESCRIPTION
MEASUREMENT MODEL
MODIFIED PMHT ALGORITHM
MODIFIED PMHT IMPLEMENTATION ISSUES
The method of increasing the annealing factor β
Generation of the sigma points for UKF smoother
EM convergence
SIMULATION
CASE 1
CASE 2
CONCLUSION
Full Text
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