Widely Linear Estimation for Multisensor Quaternion Systems with Mixed Uncertainties in the Observations

The optimal widely linear state estimation problem for quaternion systems with multiple sensors and mixed uncertainties in the observations is solved in a unified framework. For that, we devise a unified model to describe the mixed uncertainties of sensor delays, packet dropouts and uncertain observ...

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Detalhes bibliográficos
Autores: Ruiz Molina, Juan Carlos, Navarro Moreno, Jesús, Fernández Alcalá, Rosa Mª, Jiménez López, José D.
Formato: artículo
Estado:Versión borrador
Fecha de publicación:2019
País:España
Recursos:Universidad de Jaén
Repositorio:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/4156
Acesso em linha:https://hdl.handle.net/10953/4156
Access Level:acceso abierto
Palavra-chave:Multisensor system
packet dropouts
quaternion state-space modeling
sensor delays
uncertain observations
widely linear state estimation
Descrição
Resumo:The optimal widely linear state estimation problem for quaternion systems with multiple sensors and mixed uncertainties in the observations is solved in a unified framework. For that, we devise a unified model to describe the mixed uncertainties of sensor delays, packet dropouts and uncertain observations by using three Bernoulli distributed quaternion random processes. The proposed model is valid for linear discrete-time quaternion stochastic systems measured by multiple sensors and it allows us to provide filtering, prediction and smoothing algorithms for estimating the quaternion state through a widely linear processing. Simulation results are employed to show the superior performance of such algorithms in comparison to standard widely linear methods when mixed uncertainties are present in the observations.