Sensitivity analysis of dual-satellite geolocation

Pattison, Tim; Chou, Seurien

doi:10.1109/7.826312

Cited by 59 publications

(24 citation statements)

References 8 publications

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“…Moreover,Q y is generally not block diagonal, even if the TDOA and FDOA measurements from the source and calibration stations are independent to one another and Q y has a block diagonal structure. As a result, by taking the inverse of CRLB(γ o ) in (15) and comparing the result with (13a), we have that FIM(γ o ) = CRLB(γ o ) −1 can be considered as the FIM of γ o when accurate satellite locations are known but the measurements have an increased covariance matrixQ y . In other words, satellite location errors affect the estimation of the source position and time and frequency offsets via degrading and introducing extra correlation into the source and calibration measurements.…”

Section: Crlbmentioning

confidence: 99%

“…The geolocation performance of the proposed algorithm is compared with the CRLB and that of two benchmark methods, namely an iterative ML estimator and a differential calibration (DC)-based estimator [15], [17]. The maximum likelihood (ML) algorithm estimates the source latitude and longitude θ o together with the time and frequency offsets α o and true satellite locations β o .…”

Section: Simulationsmentioning

confidence: 99%

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Dual-satellite source geolocation with time and frequency offsets and satellite location errors

Liu

Yang

Mihaylova

2017

2017 20th International Conference on Information Fusion (Fusion)

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Abstract-This paper considers locating a static source on Earth using the time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements obtained by a dualsatellite geolocation system. The TDOA and FDOA from the source are subject to unknown time and frequency offsets because the two satellites are imperfectly time-synchronized or frequencylocked. The satellite locations are not known accurately as well. To make the source position identifiable and mitigate the effect of satellite location errors, calibration stations at known positions are used. Achieving the maximum likelihood (ML) geolocation performance usually requires jointly estimating the source position and extra variables (i.e., time and frequency offsets as well as satellite locations), which is computationally intensive. In this paper, a novel closed-form geolocation algorithm is proposed. It first fuses the TDOA and FDOA measurements from the source and calibration stations to produce a single pair of TDOA and FDOA for source geolocation. This measurement fusion step eliminates the time and frequency offsets while taking into account the presence of satellite location errors. The source position is then found via standard TDOA-FDOA geolocation. The developed algorithm has low complexity and performance analysis shows that it attains the Cramér-Rao lower bound (CRLB) under Gaussian noises and mild conditions. Simulations using a challenging scenario with a short-baseline dual-satellite system verify the theoretical developments and demonstrate the good performance of the proposed algorithm.

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Section: Crlbmentioning

confidence: 99%

Section: Simulationsmentioning

confidence: 99%

Dual-satellite source geolocation with time and frequency offsets and satellite location errors

Liu

Yang

Mihaylova

2017

2017 20th International Conference on Information Fusion (Fusion)

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“…Omnitracs, Euteltracs, and Beidou are widely known position information providers utilizing GEO satellites [1][2][3]. General approach to fmd the location coordinates is employing the time difference of arrival (TDOA) of signals coming from each one of several GEO satellites [4][5][6][7][8]. Turksat has orbital rights at 31°, 42°, and 50° E longitude GEO orbits, where a constellation of three satellites can be designed to offer regional positioning service.…”

Section: Introductionmentioning

confidence: 99%

Regional positioning system using turksat satellites

Yagli

Gokten

Gülgönül

et al. 2013

2013 6th International Conference on Recent Advances in Space Technologies (RAST)

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A Regional positioning system using three geosynchronous Turksat satellites is investigated in this paper. In this system, a time code signal sent from an earth station to three geostationary satellites is received by a user on Earth. Time delay differences from three satellites are measured by the user and are used to calculate the user's position. The user's location information includes latitude and longitude coordinates. It is assumed that the user's altitude is measured by an altimeter.

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“…The proposed method utilizes a priori knowledge on satellite orbital information. In [2,3], the authors have pointed out that accurate satellite ephemeris information is essential for the localization accuracy. To improve accuracy, an ephemeris calibration method is proposed in [4,5].…”

Section: Introductionmentioning

confidence: 99%

Error analysis of ephemeris calibration for dual-satellite TDOA/FDOA geolocation

Amishima

Suzuki

2017

IEICE ComEX

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In this paper, we provide a theoretical error analysis of a satellite ephemeris calibration for the dual-satellite TDOA/FDOA geolocation method. First, the error covariance matrix for the ephemeris calibration is derived. Then, the result is incorporated into the error covariance matrix for geolocation. The derived equation is numerically evaluated to provide an intensive error analysis in time and spatial coordinates. Further, Monte Carlo simulation results are provided, and it is shown that the theoretical results coincide with the Monte Carlo simulation results.

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Sensitivity analysis of dual-satellite geolocation

Cited by 59 publications

References 8 publications

Dual-satellite source geolocation with time and frequency offsets and satellite location errors

Dual-satellite source geolocation with time and frequency offsets and satellite location errors

Regional positioning system using turksat satellites

Error analysis of ephemeris calibration for dual-satellite TDOA/FDOA geolocation

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