The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions

This paper addresses the fusion estimation problem in tessarine systems with multi-sensor observations affected by mixed uncertainties when under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi math...

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Autores principales:	José D. Jiménez-López, Rosa M. Fernández-Alcalá, Jesús Navarro-Moreno, Juan C. Ruiz-Molina
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	centralized fusion estimation delayed observations distributed fusion estimation multi-sensor systems tessarine signal processing <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/77213c5a06514306907555f40921b5b9
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spelling	oai:doaj.org-article:77213c5a06514306907555f40921b5b92021-11-25T18:17:36ZThe Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions10.3390/math92229612227-7390https://doaj.org/article/77213c5a06514306907555f40921b5b92021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2961https://doaj.org/toc/2227-7390This paper addresses the fusion estimation problem in tessarine systems with multi-sensor observations affected by mixed uncertainties when under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness conditions. Observations from each sensor can be updated, delayed, or contain only noise, and a correlation is assumed between the state and the observation noises. Recursive algorithms for the optimal local linear filter at each sensor as well as both centralized and distributed linear fusion estimators are derived using an innovation approach. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness assumption implies a reduction in the dimension of the augmented system, which yields computational savings in the previously mentioned algorithms compared to their counterparts, which are derived from real or widely linear processing. A numerical simulation example illustrates the obtained theoretical results and allows us to visualize, among other aspects, the insignificant difference in the accuracy of both fusion filters, which means that the distributed filter, although suboptimal, is preferable in practice as it implies a lower computational cost.José D. Jiménez-LópezRosa M. Fernández-AlcaláJesús Navarro-MorenoJuan C. Ruiz-MolinaMDPI AGarticlecentralized fusion estimationdelayed observationsdistributed fusion estimationmulti-sensor systemstessarine signal processing<inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-propernessMathematicsQA1-939ENMathematics, Vol 9, Iss 2961, p 2961 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	centralized fusion estimation delayed observations distributed fusion estimation multi-sensor systems tessarine signal processing <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness Mathematics QA1-939
spellingShingle	centralized fusion estimation delayed observations distributed fusion estimation multi-sensor systems tessarine signal processing <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness Mathematics QA1-939 José D. Jiménez-López Rosa M. Fernández-Alcalá Jesús Navarro-Moreno Juan C. Ruiz-Molina The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
description	This paper addresses the fusion estimation problem in tessarine systems with multi-sensor observations affected by mixed uncertainties when under <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness conditions. Observations from each sensor can be updated, delayed, or contain only noise, and a correlation is assumed between the state and the observation noises. Recursive algorithms for the optimal local linear filter at each sensor as well as both centralized and distributed linear fusion estimators are derived using an innovation approach. The <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness assumption implies a reduction in the dimension of the augmented system, which yields computational savings in the previously mentioned algorithms compared to their counterparts, which are derived from real or widely linear processing. A numerical simulation example illustrates the obtained theoretical results and allows us to visualize, among other aspects, the insignificant difference in the accuracy of both fusion filters, which means that the distributed filter, although suboptimal, is preferable in practice as it implies a lower computational cost.
format	article
author	José D. Jiménez-López Rosa M. Fernández-Alcalá Jesús Navarro-Moreno Juan C. Ruiz-Molina
author_facet	José D. Jiménez-López Rosa M. Fernández-Alcalá Jesús Navarro-Moreno Juan C. Ruiz-Molina
author_sort	José D. Jiménez-López
title	The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
title_short	The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
title_full	The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
title_fullStr	The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
title_full_unstemmed	The Distributed and Centralized Fusion Filtering Problems of Tessarine Signals from Multi-Sensor Randomly Delayed and Missing Observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">T</mi><mi>k</mi></msub></semantics></math></inline-formula>-Properness Conditions
title_sort	distributed and centralized fusion filtering problems of tessarine signals from multi-sensor randomly delayed and missing observations under <inline-formula><math display="inline"><semantics><msub><mi mathvariant="double-struck">t</mi><mi>k</mi></msub></semantics></math></inline-formula>-properness conditions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/77213c5a06514306907555f40921b5b9
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