Gaussian mixture probability hypothesis density filter for multipath multitarget tracking in over-the-horizon radar

Abstract

Conventional multitarget tracking systems presume that each target can produce at most one measurement per scan. Due to the multiple ionospheric propagation paths in over-the-horizon radar (OTHR), this assumption is not valid. To solve this problem, this paper proposes a novel tracking algorithm based on the theory of finite set statistics (FISST) called the multipath probability hypothesis density (MP-PHD) filter in cluttered environments. First, the FISST is used to derive the update equation, and then Gaussian mixture (GM) is introduced to derive the closed-form solution of the MP-PHD filter. Moreover, the extended Kalman filter (EKF) is presented to deal with the nonlinear problem of the measurement model in OTHR. Eventually, the simulation results are provided to demonstrate the effectiveness of the proposed filter.

PHD Filter for Multipath Target Tracking Using Box Particle

“…are the lengths of intervals in the ground range, bearing, range rate and bearing rate respectively. Other experiment parameters are same as [16]. Finally, the optimal subpattern assignment (OSPA) distance [21] is used to evaluate the tracking performance of the two algorithms.…”

“…In order to deal with the problem of multipath single target tracking, the multipath Bernoulli filter based on the Bernoulli filter is proposed in [15]. For the problem of multipath multitarget tracking problem in OTHR, the first author has proposed multipath PHD (MPPHD) filter based on the standard PHD filter in [16]. Due to the measurement models are non-linear in OTHR system, particle filter method is usually used to solve the non-linear problems.…”

An Efficient Multi-Path Multitarget Tracking Algorithm for Over-The-Horizon Radar

“…In [13], a multiple detection multiple hypothesis tracker (MD-MHT) is proposed, in which the structure of the track hypothesis tree is very complex. More recent algorithms include the multiple detection probability hypothesis density filter [14,15] and multi-path Bernoulli filter [16,17], which are designed for the OTHR system based on random finite set theory.…”

Box-particle Cardinality Balanced Multitarget Multi-Bernoulli Filter for Multipath Multitarget Tracking in OTHR

“…For the problem of multipath single target tracking, multipath Bernoulli filter based on the standard Bernoulli filter is proposed in [14]. In order to deal with the problem of multipath multitarget tracking problem, the first author has proposed multipath PHD (MPPHD) filter and multipath CBMeMBer (MPCBMeMBer) filter [15,16] based on the standard PHD filter and standard CBMeMBer filter. Due to the measurement models are nonlinear in OTHR tracking system, [16] has applied the particle filter to deal with the nonlinear problem.…”