Bayesian change-points estimation applied to GPS signal tracking
type: Item
instance of: scholarly article
title: Bayesian change-points estimation applied to GPS signal tracking
zbMATH Open document ID: 1231.94033
DOI: 10.5402/2011/148242
author: S. Boutoille
author: Georges Stienne
author: Serge Reboul
author: Monir Azmani
author: Jean Bernard Choquel
author: Mohammed Benjelloun
published in: ISRN Signal Processing
publication date: 2011-10-27T00:00:00Z
review text: Summary: A hierarchical Bayesian model is applied to off-line segmentation of the GPS signal discriminator. The purpose of this work is to estimate the code delay of the receiving GPS CDMA code in order to retime the local receiver code and to estimate the pseudorange satellite receiver. The goal of our approach is to obtain a high-rate accurate positioning in the dynamic navigation case. We show that the behaviour of the coherent discriminator of a GPS pilot channel can be modelized by a piecewise stationary process. In our approach the discriminator behaviour in each stationary segment is approximated by a constant acceleration model, and the code delay at each end of the segments is known. The interest of this approach is that we use the coherent values of the discriminator in each segment to estimate the change instants of the process and to get in this case an accurate estimation of the code delays. In this context, a simultaneous estimation of the change instants is considered. We define the a posteriori distribution which integrates in its expression the signal change instants and the parameters of its statistical model. The proposed model leads after marginalization to a penalized contrast function that we minimize to estimate the discriminator change instants. The interest of the proposed model is that we can integrate in our estimate prior information on the roughly known values of the signal-to-noise ratio and relative speed satellite receiver. The potential of the proposed method is shown on experimentations realized on synthetic and real data for millisecond receiver localization.
Mathematics Subject Classification ID: 94A12
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62P30
zbMATH DE Number: 5964305
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/148242
OpenAlex ID: W2064219471
Wikidata QID: Q58688969
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description: scientific article; zbMATH DE number 5964305