Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations

Abstract This study addresses the problem of geolocating a strictly non‐circular source on the surface of Earth by a cluster of passive satellites. The known satellite positions and velocities are subject to random errors. The authors propose a single‐step satellite geolocation algorithm that direct...

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Main Authors: Jiexin Yin, Ding Wang, Fuquan Nie, Nae Zheng
Format: Article
Language:English
Published: Wiley 2022-04-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12083
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author Jiexin Yin
Ding Wang
Fuquan Nie
Nae Zheng
author_facet Jiexin Yin
Ding Wang
Fuquan Nie
Nae Zheng
author_sort Jiexin Yin
collection DOAJ
description Abstract This study addresses the problem of geolocating a strictly non‐circular source on the surface of Earth by a cluster of passive satellites. The known satellite positions and velocities are subject to random errors. The authors propose a single‐step satellite geolocation algorithm that directly localises the transmitter from sensor outputs using the information of time delays and Doppler shifts but without explicitly estimating them. It exploits the non‐circular property of signals and a priori information of satellite orbit error distribution to jointly calibrate orbit errors and determine the longitude and latitude of the transmitter based on the ellipsoidal Earth model, which integrates an alternating iteration scheme for the estimation of various unknowns instead of the exhaustive grid search. Additionally, a detailed Cramér‐Rao bound (CRB) derivation is presented for the single‐step satellite geolocation of a non‐circular source on Earth with and without satellite orbit perturbations, and it is proved that these CRBs are lower than the associated CRBs for a circular source. The simulation results illustrate that the proposed method asymptotically attains the associated CRB, and shows greater performance robustness to signal‐to‐noise ratio (SNR) and satellite orbit errors compared with conventional two‐step satellite geolocation approaches.
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spelling doaj.art-5ecc8c981a1a43ddaac179711eeee5872025-02-03T01:29:36ZengWileyIET Signal Processing1751-96751751-96832022-04-0116217020010.1049/sil2.12083Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbationsJiexin Yin0Ding Wang1Fuquan Nie2Nae Zheng3PLA Strategic Support Force Information Engineering University Zhengzhou Henan ChinaPLA Strategic Support Force Information Engineering University Zhengzhou Henan ChinaWeihua Group Co., Ltd Changyuan Henan ChinaPLA Strategic Support Force Information Engineering University Zhengzhou Henan ChinaAbstract This study addresses the problem of geolocating a strictly non‐circular source on the surface of Earth by a cluster of passive satellites. The known satellite positions and velocities are subject to random errors. The authors propose a single‐step satellite geolocation algorithm that directly localises the transmitter from sensor outputs using the information of time delays and Doppler shifts but without explicitly estimating them. It exploits the non‐circular property of signals and a priori information of satellite orbit error distribution to jointly calibrate orbit errors and determine the longitude and latitude of the transmitter based on the ellipsoidal Earth model, which integrates an alternating iteration scheme for the estimation of various unknowns instead of the exhaustive grid search. Additionally, a detailed Cramér‐Rao bound (CRB) derivation is presented for the single‐step satellite geolocation of a non‐circular source on Earth with and without satellite orbit perturbations, and it is proved that these CRBs are lower than the associated CRBs for a circular source. The simulation results illustrate that the proposed method asymptotically attains the associated CRB, and shows greater performance robustness to signal‐to‐noise ratio (SNR) and satellite orbit errors compared with conventional two‐step satellite geolocation approaches.https://doi.org/10.1049/sil2.12083alternating iterationCramér‐Rao bound (CRB)non‐circular signalsatellite geolocationsingle‐step geolocation
spellingShingle Jiexin Yin
Ding Wang
Fuquan Nie
Nae Zheng
Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
IET Signal Processing
alternating iteration
Cramér‐Rao bound (CRB)
non‐circular signal
satellite geolocation
single‐step geolocation
title Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
title_full Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
title_fullStr Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
title_full_unstemmed Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
title_short Single‐step geolocation for a non‐circular source in the presence of satellite orbit perturbations
title_sort single step geolocation for a non circular source in the presence of satellite orbit perturbations
topic alternating iteration
Cramér‐Rao bound (CRB)
non‐circular signal
satellite geolocation
single‐step geolocation
url https://doi.org/10.1049/sil2.12083
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AT dingwang singlestepgeolocationforanoncircularsourceinthepresenceofsatelliteorbitperturbations
AT fuquannie singlestepgeolocationforanoncircularsourceinthepresenceofsatelliteorbitperturbations
AT naezheng singlestepgeolocationforanoncircularsourceinthepresenceofsatelliteorbitperturbations