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Lookup NU author(s): Pengming Feng, Dr Mohsen Naqvi, Professor Jonathon Chambers
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
The probability hypothesis density (PHD) filter is well known for addressing the problem of multiple human tracking for a variable number of targets, and the sequential Monte Carlo implementation of the PHD filter, known as the particle PHD filter, can give state estimates with nonlinear and non-Gaussian models. Recently, Mahler et al. have introduced a PHD smoother to gain more accurate estimates for both target states and number. However, as highlighted by Psiaki in the context of a backward-smoothing extended Kalman filter, with a nonlinear state evolution model the approximation error in the backward filtering requires careful consideration. Psiaki suggests that to minimize the aggregated least-squares error over a batch of data. We instead use the term retrodiction PHD filter to describe the backward filtering algorithm in recognition of the approximation error proposed in the original PHD smoother, and we propose an adaptive recursion step to improve the approximation accuracy. This step combines forward and backward processing through the measurement set and thereby mitigates the problems with the original PHD smoother when the target number changes signifi- cantly and the targets appear and disappear randomly. Simulation results show the improved performance of the proposed algorithm and its capability in handling a variable number of targets.
Author(s): Feng P, Wang W, Naqvi SM, Chambers JA
Publication type: Article
Publication status: Published
Journal: IEEE Signal Processing Letters
Year: 2016
Volume: 23
Issue: 11
Pages: 1592-1596
Print publication date: 01/11/2016
Online publication date: 19/09/2016
Acceptance date: 14/09/2016
Date deposited: 04/11/2016
ISSN (print): 1070-9908
ISSN (electronic): 1558-2361
Publisher: IEEE
URL: http://dx.doi.org/10.1109/LSP.2016.2611138
DOI: 10.1109/LSP.2016.2611138
Data Access Statement: http://dx.doi.org/10.17634/151883-1
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