Nearly constant acceleration model for state estimation in the range‐Doppler plane

Abstract The problem of motion modelling in the range‐Doppler (R‐D) plane as well as range and Doppler estimation for the Cartesian nearly constant acceleration motion, which is a common manoeuvering motion, is investigated. The temporal evolution equation is derived based on the state vector consis...

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Autores principales:	Keyi Li, Zhengkun Guo, Gongjian Zhou
Formato:	article
Lenguaje:	EN
Publicado:	Wiley 2021
Materias:	Telecommunication TK5101-6720
Acceso en línea:	https://doaj.org/article/ac146e2f099641349d6c95692813e971
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spelling	oai:doaj.org-article:ac146e2f099641349d6c95692813e9712021-11-12T15:34:30ZNearly constant acceleration model for state estimation in the range‐Doppler plane1751-87921751-878410.1049/rsn2.12157https://doaj.org/article/ac146e2f099641349d6c95692813e9712021-12-01T00:00:00Zhttps://doi.org/10.1049/rsn2.12157https://doaj.org/toc/1751-8784https://doaj.org/toc/1751-8792Abstract The problem of motion modelling in the range‐Doppler (R‐D) plane as well as range and Doppler estimation for the Cartesian nearly constant acceleration motion, which is a common manoeuvering motion, is investigated. The temporal evolution equation is derived based on the state vector consisting of target range, Doppler and derivatives of the product of range and range rate versus time. In this way, the measurement equation of range and Doppler measurements can be maintained in a desirable linear‐Gaussian structure. Based on the non‐linear state equation and the linear measurement equation, the unscented Kalman filter is adopted to tackle the non‐linear filtering problem. The corresponding filter initialisation method is developed based on the two‐point differencing method. Explicit expressions of the initial state estimates and the initial covariance matrix are presented in analytic forms where the correlation among the state components is handled properly. The posterior Cramer–Rao lower bound (PCRLB) is provided for state estimation in the R‐D plane. Comprehensive comparisons of the proposed method against the existing R‐D state estimation methods using approximate models, Cartesian state estimator and PCRLB are carried out in simulations to demonstrate the validity and correctness of the proposed motion model and estimation method.Keyi LiZhengkun GuoGongjian ZhouWileyarticleTelecommunicationTK5101-6720ENIET Radar, Sonar & Navigation, Vol 15, Iss 12, Pp 1687-1701 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Telecommunication TK5101-6720
spellingShingle	Telecommunication TK5101-6720 Keyi Li Zhengkun Guo Gongjian Zhou Nearly constant acceleration model for state estimation in the range‐Doppler plane
description	Abstract The problem of motion modelling in the range‐Doppler (R‐D) plane as well as range and Doppler estimation for the Cartesian nearly constant acceleration motion, which is a common manoeuvering motion, is investigated. The temporal evolution equation is derived based on the state vector consisting of target range, Doppler and derivatives of the product of range and range rate versus time. In this way, the measurement equation of range and Doppler measurements can be maintained in a desirable linear‐Gaussian structure. Based on the non‐linear state equation and the linear measurement equation, the unscented Kalman filter is adopted to tackle the non‐linear filtering problem. The corresponding filter initialisation method is developed based on the two‐point differencing method. Explicit expressions of the initial state estimates and the initial covariance matrix are presented in analytic forms where the correlation among the state components is handled properly. The posterior Cramer–Rao lower bound (PCRLB) is provided for state estimation in the R‐D plane. Comprehensive comparisons of the proposed method against the existing R‐D state estimation methods using approximate models, Cartesian state estimator and PCRLB are carried out in simulations to demonstrate the validity and correctness of the proposed motion model and estimation method.
format	article
author	Keyi Li Zhengkun Guo Gongjian Zhou
author_facet	Keyi Li Zhengkun Guo Gongjian Zhou
author_sort	Keyi Li
title	Nearly constant acceleration model for state estimation in the range‐Doppler plane
title_short	Nearly constant acceleration model for state estimation in the range‐Doppler plane
title_full	Nearly constant acceleration model for state estimation in the range‐Doppler plane
title_fullStr	Nearly constant acceleration model for state estimation in the range‐Doppler plane
title_full_unstemmed	Nearly constant acceleration model for state estimation in the range‐Doppler plane
title_sort	nearly constant acceleration model for state estimation in the range‐doppler plane
publisher	Wiley
publishDate	2021
url	https://doaj.org/article/ac146e2f099641349d6c95692813e971
work_keys_str_mv	AT keyili nearlyconstantaccelerationmodelforstateestimationintherangedopplerplane AT zhengkunguo nearlyconstantaccelerationmodelforstateestimationintherangedopplerplane AT gongjianzhou nearlyconstantaccelerationmodelforstateestimationintherangedopplerplane
_version_	1718430388065402880

Nearly constant acceleration model for state estimation in the range‐Doppler plane

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