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Estimation bounds of beat signal in the R-Mode localization system

Grundhöfer, Lars and Gewies, Stefan and Del Galdo, Giovanni (2021) Estimation bounds of beat signal in the R-Mode localization system. IEEE Access, pp. 1-9. IEEE - Institute of Electrical and Electronics Engineers. doi: 10.1109/ACCESS.2021.3076845. ISSN 2169-3536.

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The R-Mode system is a terrestrial navigation system currently under development, which exploits existing means of medium frequency radio transmission. The positioning and timing performance depends on the estimation of the signals’ phase offset, from which the ranging information is derived. For an analogous problem such as the single-tone phase estimation, the Cramér-Rao bound (CRB) describes the minimal achievable performance in the mean squared error sense. For R-Mode, the problem involves the estimation of the phase offset for a beat signal, which can be described as the difference of phase estimation for the two aiding carriers next to the signal. This estimates are not statistically independent for finite observation, as we show in this paper. The effect becomes stronger for short observation times, which are important for a near real time application. In this contribution, we are interested in phase offset estimation for the signal models relevant to R-Mode: a beat signal and a beat signal combined with an MSK signal. A closed-form lower CRB is proposed for the aforementioned signal models phase estimation, as well as a generalization of the bound for the phase-difference estimation. Based on this derivation, optimized bit sequences are shown to improve performance of the estimates. The validity of the proposal is verified based on a simulation setup. Measurements acquired during a measurement campaign serve to further justify the usefulness of the bound. Some possible applications of such a bound are R-Mode coverage prediction and the associated phase estimators’ performance.

Item URL in elib:https://elib.dlr.de/138642/
Document Type:Article
Title:Estimation bounds of beat signal in the R-Mode localization system
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Grundhöfer, LarsUNSPECIFIEDhttps://orcid.org/0000-0002-8650-8280UNSPECIFIED
Gewies, StefanUNSPECIFIEDhttps://orcid.org/0000-0001-5549-8115UNSPECIFIED
Del Galdo, GiovanniUNSPECIFIEDhttps://orcid.org/0000-0002-7195-4253UNSPECIFIED
Date:June 2021
Journal or Publication Title:IEEE Access
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In ISI Web of Science:Yes
Page Range:pp. 1-9
Publisher:IEEE - Institute of Electrical and Electronics Engineers
Keywords:Estimation, Global navigation satellite system ,Phase estimation, Timing, Radio navigation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Transport System
DLR - Research area:Transport
DLR - Program:V VS - Verkehrssystem
DLR - Research theme (Project):V - I4Port (old)
Location: Neustrelitz
Institutes and Institutions:Institute of Communication and Navigation > Nautical Systems
Deposited By: Grundhöfer, Lars
Deposited On:07 May 2021 16:54
Last Modified:23 Jul 2022 13:45

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