A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties

This paper develops a Rao-Blackwellized particle filter with variational inference for jointly estimating state and time-varying parameters in non-linear state-space models (SSM) with non-Gaussian measurement noise. Depending on the availability of the conjugate prior for the unknown parameters, the...

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Main Authors: Cheng Cheng, Jean-Yves Tourneret, Xiaodong Lu
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9042224/
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author Cheng Cheng
Jean-Yves Tourneret
Xiaodong Lu
author_facet Cheng Cheng
Jean-Yves Tourneret
Xiaodong Lu
author_sort Cheng Cheng
collection DOAJ
description This paper develops a Rao-Blackwellized particle filter with variational inference for jointly estimating state and time-varying parameters in non-linear state-space models (SSM) with non-Gaussian measurement noise. Depending on the availability of the conjugate prior for the unknown parameters, the joint posterior distribution of the state and unknown parameters is approximated by using an auxiliary particle filter with a probabilistic changepoint model. The distribution of the SSM parameters conditionally on each particle is then updated by using variational Bayesian inference. Experiments are first conducted on a modified nonlinear benchmark model to compare the performance of the proposed approach with other state-of-the-art approaches. Finally, in the context of GNSS multipath mitigation, the proposed approach is evaluated based on data obtained from a measurement campaign conducted in a street urban canyon.
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spelling doaj.art-f6598184ef13417a891fef5028fe5c522022-12-21T22:50:00ZengIEEEIEEE Access2169-35362020-01-018556655567510.1109/ACCESS.2020.29819489042224A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model UncertaintiesCheng Cheng0https://orcid.org/0000-0002-3726-657XJean-Yves Tourneret1Xiaodong Lu2School of Astronautics, Northwestern Polytechnical University, Xi’an, ChinaENSEEIHT-IRIT-T??SA, University of Toulouse, Toulouse, FranceSchool of Astronautics, Northwestern Polytechnical University, Xi’an, ChinaThis paper develops a Rao-Blackwellized particle filter with variational inference for jointly estimating state and time-varying parameters in non-linear state-space models (SSM) with non-Gaussian measurement noise. Depending on the availability of the conjugate prior for the unknown parameters, the joint posterior distribution of the state and unknown parameters is approximated by using an auxiliary particle filter with a probabilistic changepoint model. The distribution of the SSM parameters conditionally on each particle is then updated by using variational Bayesian inference. Experiments are first conducted on a modified nonlinear benchmark model to compare the performance of the proposed approach with other state-of-the-art approaches. Finally, in the context of GNSS multipath mitigation, the proposed approach is evaluated based on data obtained from a measurement campaign conducted in a street urban canyon.https://ieeexplore.ieee.org/document/9042224/Joint state and parameter estimationRao-blackwellized particle filterstate-space modelsvariational inference
spellingShingle Cheng Cheng
Jean-Yves Tourneret
Xiaodong Lu
A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
IEEE Access
Joint state and parameter estimation
Rao-blackwellized particle filter
state-space models
variational inference
title A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
title_full A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
title_fullStr A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
title_full_unstemmed A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
title_short A Rao-Blackwellized Particle Filter With Variational Inference for State Estimation With Measurement Model Uncertainties
title_sort rao blackwellized particle filter with variational inference for state estimation with measurement model uncertainties
topic Joint state and parameter estimation
Rao-blackwellized particle filter
state-space models
variational inference
url https://ieeexplore.ieee.org/document/9042224/
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