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Compact CRB for delay, Doppler, and phase estimation - application to GNSS SPP and RTK performance characterisation

Medina, Daniel and Ortega, Lorenzo and Vilà-Valls, Jordi and Closas, Pau and Vincent, François and Chaumette, Eric (2020) Compact CRB for delay, Doppler, and phase estimation - application to GNSS SPP and RTK performance characterisation. IET Radar, Sonar & Navigation. Institution of Engineering and Technology (IET). doi: 10.1049/iet-rsn.2020.0168. ISSN 1751-8784.

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The derivation of tight estimation lower bounds is a key tool to design and assess the performance of new estimators. In this contribution, first we derive a new compact Cram\'er-Rao bound (CRB) for the conditional signal model, where the deterministic parameter's vector includes a real positive amplitude and the signal phase. Then, the resulting CRB is particularized to the delay, Doppler, phase and amplitude estimation for band-limited narrowband signals, which are found in a plethora of applications, making such CRB a key tool of broad interest. This new CRB expression is particularly easy to evaluate because it only depends on the signal samples, then being straightforward to evaluate independently of the particular baseband signal considered. We exploit this CRB to properly characterize the achievable performance of satellite-based navigation systems and the so-called Real-Time Kinematics (RTK) solution. To the best of our knowledge this is the first time these techniques are theoretically characterized from the baseband delay/phase estimation processing to position computation, in terms of the CRB and maximum likelihood estimation.

Item URL in elib:https://elib.dlr.de/135187/
Document Type:Article
Title:Compact CRB for delay, Doppler, and phase estimation - application to GNSS SPP and RTK performance characterisation
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Medina, DanielUNSPECIFIEDhttps://orcid.org/0000-0002-1586-3269UNSPECIFIED
Vilà-Valls, JordiUNSPECIFIEDhttps://orcid.org/0000-0001-7858-4171UNSPECIFIED
Closas, PauUNSPECIFIEDhttps://orcid.org/0000-0002-5960-6600UNSPECIFIED
Date:June 2020
Journal or Publication Title:IET Radar, Sonar & Navigation
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Publisher:Institution of Engineering and Technology (IET)
Keywords:CRB; GNSS; RTK; Carrier Phase
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Communication and Navigation
DLR - Research area:Raumfahrt
DLR - Program:R KN - Kommunikation und Navigation
DLR - Research theme (Project):R - Project Navigation 4.0 (old)
Location: Neustrelitz
Institutes and Institutions:Institute of Communication and Navigation > Nautical Systems
Deposited By: Medina, Daniel
Deposited On:10 Jun 2020 18:42
Last Modified:11 Dec 2023 10:12

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