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A New Compact CRB for Delay, Doppler and Phase Estimation - Application to GNSS SPP & RTK Performance Characterization

Medina, Daniel and Ortega, Lorenzo and Vilà-Valls, Jordi and Closas, Pau and Vincent, François and Chaumette, Eric (2020) A New Compact CRB for Delay, Doppler and Phase Estimation - Application to GNSS SPP & RTK Performance Characterization. IET Radar Sonar & Navigation. Institution of Engineering and Technology (IET). ISSN 1751-8784.

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Abstract

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:A New Compact CRB for Delay, Doppler and Phase Estimation - Application to GNSS SPP & RTK Performance Characterization
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Medina, DanielDaniel.AriasMedina (at) dlr.dehttps://orcid.org/0000-0002-1586-3269
Ortega, Lorenzolorenzo.ortega (at) tesa.prd.frUNSPECIFIED
Vilà-Valls, JordiJordi.VILA-VALLS (at) isae-supaero.frhttps://orcid.org/0000-0001-7858-4171
Closas, Paupau.closas (at) northeastern.eduhttps://orcid.org/0000-0002-5960-6600
Vincent, FrançoisFrancois.Vincent (at) isae-supaero.frUNSPECIFIED
Chaumette, EricEric.CHAUMETTE (at) isae-supaero.frUNSPECIFIED
Date:June 2020
Journal or Publication Title:IET Radar Sonar & Navigation
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Publisher:Institution of Engineering and Technology (IET)
ISSN:1751-8784
Status:Published
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:23 Feb 2021 12:02

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