A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers

Abstract The Gaussian noise model and estimators based on least squares (LS) are widely used in target localisation with distributed multiple‐input multiple‐output (MIMO) radar because of their computational efficiency. However, the accuracy of existing LS‐based target localisation algorithms deteri...

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Main Authors: Jing Yang, Chengcheng Liu, Jie Huang, Ting Ding, Dexiu Hu, Chuang Zhao
Format: Article
Language:English
Published: Wiley 2023-11-01
Series:IET Radar, Sonar & Navigation
Subjects:
Online Access:https://doi.org/10.1049/rsn2.12451
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author Jing Yang
Chengcheng Liu
Jie Huang
Ting Ding
Dexiu Hu
Chuang Zhao
author_facet Jing Yang
Chengcheng Liu
Jie Huang
Ting Ding
Dexiu Hu
Chuang Zhao
author_sort Jing Yang
collection DOAJ
description Abstract The Gaussian noise model and estimators based on least squares (LS) are widely used in target localisation with distributed multiple‐input multiple‐output (MIMO) radar because of their computational efficiency. However, the accuracy of existing LS‐based target localisation algorithms deteriorates sharply in the presence of outliers in the measurements. Thus, a robust solution is developed based on the lp‐norm minimisation criterion and iteratively reweighted least squares (IRLS) for locating a moving target with impulse noise using the angle of arrival (AOA), time delay (TD), and Doppler shift (DS) measurements. First, the AOA, TD, and DS measurement noise models are developed based on the α‐stable distribution. Then, the localisation problem is transformed into an lp‐norm minimisation problem by linearising the AOA, TD, and DS measurement equations. Finally, the lp‐norm minimisation problem is solved using an IRLS method to obtain the target position and estimate the velocity. Moreover, the optimum of the norm order (p) and the Cramér–Rao lower bound for the target position and velocity estimation are derived under α‐stable distributed measurement noise. The simulation results demonstrate that the developed algorithm offers higher accurascy and robustness than the existing ones in the presence of measurement outliers.
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spelling doaj.art-618d6358d2714cfd81d99bd2105502f62023-11-11T07:40:21ZengWileyIET Radar, Sonar & Navigation1751-87841751-87922023-11-0117111728174210.1049/rsn2.12451A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliersJing Yang0Chengcheng Liu1Jie Huang2Ting Ding3Dexiu Hu4Chuang Zhao5National Digital Switching System Engineering and Technological Research Center Zhengzhou ChinaNational Digital Switching System Engineering and Technological Research Center Zhengzhou ChinaNational Digital Switching System Engineering and Technological Research Center Zhengzhou ChinaHenan High‐speed Railway Operation and Maintenance Engineering Research Center Zhengzhou ChinaNational Digital Switching System Engineering and Technological Research Center Zhengzhou ChinaNational Digital Switching System Engineering and Technological Research Center Zhengzhou ChinaAbstract The Gaussian noise model and estimators based on least squares (LS) are widely used in target localisation with distributed multiple‐input multiple‐output (MIMO) radar because of their computational efficiency. However, the accuracy of existing LS‐based target localisation algorithms deteriorates sharply in the presence of outliers in the measurements. Thus, a robust solution is developed based on the lp‐norm minimisation criterion and iteratively reweighted least squares (IRLS) for locating a moving target with impulse noise using the angle of arrival (AOA), time delay (TD), and Doppler shift (DS) measurements. First, the AOA, TD, and DS measurement noise models are developed based on the α‐stable distribution. Then, the localisation problem is transformed into an lp‐norm minimisation problem by linearising the AOA, TD, and DS measurement equations. Finally, the lp‐norm minimisation problem is solved using an IRLS method to obtain the target position and estimate the velocity. Moreover, the optimum of the norm order (p) and the Cramér–Rao lower bound for the target position and velocity estimation are derived under α‐stable distributed measurement noise. The simulation results demonstrate that the developed algorithm offers higher accurascy and robustness than the existing ones in the presence of measurement outliers.https://doi.org/10.1049/rsn2.12451MIMO radarmultistatic radarradar signal processing
spellingShingle Jing Yang
Chengcheng Liu
Jie Huang
Ting Ding
Dexiu Hu
Chuang Zhao
A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
IET Radar, Sonar & Navigation
MIMO radar
multistatic radar
radar signal processing
title A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
title_full A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
title_fullStr A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
title_full_unstemmed A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
title_short A robust lp‐norm localization of moving targets in distributed multiple‐input multiple‐output radar with measurement outliers
title_sort robust lp norm localization of moving targets in distributed multiple input multiple output radar with measurement outliers
topic MIMO radar
multistatic radar
radar signal processing
url https://doi.org/10.1049/rsn2.12451
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