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Found 15 papers, 10 papers with code
Trajectory PMB Filters for Extended Object Tracking Using Belief Propagation
First, we present a PMBM conjugate prior on the posterior of sets of trajectories for a generalized measurement model, in which each object generates an independent set of measurements.
Multiple Object Trajectory Estimation Using Backward Simulation
In this paper, we first derive a general multi-trajectory backward smoothing equation based on random finite sets of trajectories.
PMBM-based SLAM Filters in 5G mmWave Vehicular Networks
Secondly, the Poisson multi-Bernoulli (PMB) SLAM filter is based on the standard reduction from PMBM to PMB, but involves a novel interpretation based on auxiliary variables and a relation to Bethe free energy.
Backward Simulation for Sets of Trajectories
This paper presents a solution for recovering full trajectory information, via the calculation of the posterior of the set of trajectories, from a sequence of multitarget (unlabelled) filtering densities and the multitarget dynamic model.
Trajectory Poisson multi-Bernoulli filters
The filters are based on propagating a Poisson multi-Bernoulli (PMB) density on the corresponding set of trajectories through the filtering recursion.
Poisson Multi-Bernoulli Mixtures for Sets of Trajectories
First, we show that, for the standard point target model, the PMBM density is conjugate also for sets of trajectories.
Multi-Scan Implementation of the Trajectory Poisson Multi-Bernoulli Mixture Filter
A multi-scan trajectory PMBM filter and a multi-scan trajectory MBM filter, with the ability to correct past data association decisions to improve current decisions, are presented.
Signal Processing
Extended target Poisson multi-Bernoulli mixture trackers based on sets of trajectories
The Poisson multi-Bernoulli mixture (PMBM) is a multi-target distribution for which the prediction and update are closed.
Signal Processing
5G mmWave Cooperative Positioning and Mapping using Multi-Model PHD Filter and Map Fusion
5G millimeter wave (mmWave) signals can enable accurate positioning in vehicular networks when the base station (BS) and vehicles are equipped with large antenna arrays.
Gaussian implementation of the multi-Bernoulli mixture filter
This paper presents the Gaussian implementation of the multi-Bernoulli mixture (MBM) filter.
Poisson multi-Bernoulli mixture trackers: continuity through random finite sets of trajectories
By showing that the prediction and update in the PMBM filter can be viewed as an efficient method for calculating the time marginals of the RFS of trajectories, continuity in the same sense as MHT is established for the PMBM filter.
An Implementation of the Poisson Multi-Bernoulli Mixture Trajectory Filter via Dual Decomposition
This paper proposes an efficient implementation of the Poisson multi-Bernoulli mixture (PMBM) trajectory filter.
Poisson Multi-Bernoulli Mapping Using Gibbs Sampling
The proposed method can handle uncertainties in the data associations and the cardinality of the set of landmarks, and is parallelizable, making it suitable for large-scale problems.
Poisson Multi-Bernoulli Approximations for Multiple Extended Object Filtering
The Poisson multi-Bernoulli mixture (PMBM) is a multi-object conjugate prior for the closed-form Bayes random finite sets filter.
Poisson multi-Bernoulli mixture filter: direct derivation and implementation
We provide a derivation of the Poisson multi-Bernoulli mixture (PMBM) filter for multi-target tracking with the standard point target measurements without using probability generating functionals or functional derivatives.
