Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises

This paper describes a design for a least mean square error estimator in discrete time systems where the components of the state vector, in measurement equation, are corrupted by different multiplicative noises in addition to observation noise. We show how known results can be considered a particula...

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Main Authors: C. Sánchez-González, T. M. García-Muñoz
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/875023
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author C. Sánchez-González
T. M. García-Muñoz
author_facet C. Sánchez-González
T. M. García-Muñoz
author_sort C. Sánchez-González
collection DOAJ
description This paper describes a design for a least mean square error estimator in discrete time systems where the components of the state vector, in measurement equation, are corrupted by different multiplicative noises in addition to observation noise. We show how known results can be considered a particular case of the algorithm stated in this paper.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-9dcaeed7978347588ab4fcd6988bf25a2025-02-03T05:51:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/875023875023Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation NoisesC. Sánchez-González0T. M. García-Muñoz1Departamento de Métodos Cuantitativos para la Economía y la Empresa, Facultad de Ciencias Económicas y Empresariales, Universidad de Granada, Campus Universitario de Cartuja, s/n, 18011 Granada, SpainDepartamento de Métodos Cuantitativos para la Economía y la Empresa, Facultad de Ciencias Económicas y Empresariales, Universidad de Granada, Campus Universitario de Cartuja, s/n, 18011 Granada, SpainThis paper describes a design for a least mean square error estimator in discrete time systems where the components of the state vector, in measurement equation, are corrupted by different multiplicative noises in addition to observation noise. We show how known results can be considered a particular case of the algorithm stated in this paper.http://dx.doi.org/10.1155/2010/875023
spellingShingle C. Sánchez-González
T. M. García-Muñoz
Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
Discrete Dynamics in Nature and Society
title Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
title_full Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
title_fullStr Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
title_full_unstemmed Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
title_short Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises
title_sort recursive linear estimation for discrete time systems in the presence of different multiplicative observation noises
url http://dx.doi.org/10.1155/2010/875023
work_keys_str_mv AT csanchezgonzalez recursivelinearestimationfordiscretetimesystemsinthepresenceofdifferentmultiplicativeobservationnoises
AT tmgarciamunoz recursivelinearestimationfordiscretetimesystemsinthepresenceofdifferentmultiplicativeobservationnoises