Lesouple, Julien and Tourneret, Jean-Yves and Sahmoudi, Mohamed and Barbiero, Franck and Faurie, Frédéric
Multipath mitigation in global navigation satellite systems using a bayesian hierarchical model with Bernoulli Laplacian priors.
(2018)
In: Workshop on Statistical Signal Processing - SSP 2018, 10 June 2018 - 13 June 2018 (Freiburg Im Breisgau, Germany).
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(Document in English)
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Official URL: https://ssp2018.org/program/tuesday/
Abstract
A new sparse estimation method was recently introduced in a previous work to correct biases due to multipath (MP) in GNSS measurements. The proposed strategy was based on the resolution of a LASSO problem constructed from the navigation equations using the reweighted-l1 method. This strategy requires to adjust the regularization parameters balancing the data fidelity term and the involved regularizations. This paper introduces a new Bayesian estimation method allowing the MP biases and the unknown model parameters and hyperparameters to be estimated directly from the GNSS measurements. The proposed method is based on Bernoulli- Laplacian priors, promoting sparsity of MP biases.
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