Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter

In bearings-only target tracking, the pseudo-linear Kalman filter (PLKF) attracts much attention because of its stability and its low computational burden. However, the PLKF’s measurement vector and the pseudo-linear noise are correlated, which makes it suffer from bias problems. Although the bias-c...

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Main Authors: Zihao Huang, Shijin Chen, Chengpeng Hao, Danilo Orlando
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/13/15/2915
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author Zihao Huang
Shijin Chen
Chengpeng Hao
Danilo Orlando
author_facet Zihao Huang
Shijin Chen
Chengpeng Hao
Danilo Orlando
author_sort Zihao Huang
collection DOAJ
description In bearings-only target tracking, the pseudo-linear Kalman filter (PLKF) attracts much attention because of its stability and its low computational burden. However, the PLKF’s measurement vector and the pseudo-linear noise are correlated, which makes it suffer from bias problems. Although the bias-compensated PLKF (BC–PLKF) and the instrumental variable-based PLKF (IV–PLKF) can eliminate the bias, they only work well when the target behaves with non-manoeuvring movement. To extend the PLKF to the manoeuvring target tracking scenario, an unbiased PLKF (UB–PLKF) algorithm, which splits the noise away from the measurement vector directly, is proposed. Based on the results of the UB–PLKF, we also propose its velocity-constrained version (VC–PLKF) to further improve the performance. Simulations show that the UB–PLKF and VC–PLKF outperform the BC–PLKF and IV–PLKF both in non-manoeuvring and manoeuvring scenarios.
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spelling doaj.art-fe6660d84408424987e5a2881bcbc6ca2023-11-22T06:06:05ZengMDPI AGRemote Sensing2072-42922021-07-011315291510.3390/rs13152915Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman FilterZihao Huang0Shijin Chen1Chengpeng Hao2Danilo Orlando3Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaInstitute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaInstitute of Acoustics, Chinese Academy of Sciences, Beijing 100190, ChinaDepartment of Engineering, University of Niccolo Cusano, via Don Carlo Gnocchi 3, 00166 Rome, ItalyIn bearings-only target tracking, the pseudo-linear Kalman filter (PLKF) attracts much attention because of its stability and its low computational burden. However, the PLKF’s measurement vector and the pseudo-linear noise are correlated, which makes it suffer from bias problems. Although the bias-compensated PLKF (BC–PLKF) and the instrumental variable-based PLKF (IV–PLKF) can eliminate the bias, they only work well when the target behaves with non-manoeuvring movement. To extend the PLKF to the manoeuvring target tracking scenario, an unbiased PLKF (UB–PLKF) algorithm, which splits the noise away from the measurement vector directly, is proposed. Based on the results of the UB–PLKF, we also propose its velocity-constrained version (VC–PLKF) to further improve the performance. Simulations show that the UB–PLKF and VC–PLKF outperform the BC–PLKF and IV–PLKF both in non-manoeuvring and manoeuvring scenarios.https://www.mdpi.com/2072-4292/13/15/2915bearings-only trackingpseudo-linear Kalman filternorm-constrained Kalman filter
spellingShingle Zihao Huang
Shijin Chen
Chengpeng Hao
Danilo Orlando
Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
Remote Sensing
bearings-only tracking
pseudo-linear Kalman filter
norm-constrained Kalman filter
title Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
title_full Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
title_fullStr Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
title_full_unstemmed Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
title_short Bearings-Only Target Tracking with an Unbiased Pseudo-Linear Kalman Filter
title_sort bearings only target tracking with an unbiased pseudo linear kalman filter
topic bearings-only tracking
pseudo-linear Kalman filter
norm-constrained Kalman filter
url https://www.mdpi.com/2072-4292/13/15/2915
work_keys_str_mv AT zihaohuang bearingsonlytargettrackingwithanunbiasedpseudolinearkalmanfilter
AT shijinchen bearingsonlytargettrackingwithanunbiasedpseudolinearkalmanfilter
AT chengpenghao bearingsonlytargettrackingwithanunbiasedpseudolinearkalmanfilter
AT daniloorlando bearingsonlytargettrackingwithanunbiasedpseudolinearkalmanfilter