Semi-widely linear estimation algorithms of quaternion signals with missing observations and correlated noises

The paper deals with the estimation problem of a discrete-time vectorial quaternion signal which is observed through a linear dynamic system with intermittent observations and autocorrelated and cross-correlated noises. Under Cη-properness conditions, a semi-widely linear processing is considered to...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 357; no. 5; pp. 3075 - 3096
Main Authors Fernández-Alcalá, Rosa María, Navarro-Moreno, Jesús, Jiménez-López, José Domingo, Ruiz-Molina, Juan Carlos
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.03.2020
Elsevier Science Ltd
Subjects
Algorithms
Computer simulation
Discrete element method
Estimating techniques
Filtering systems
Linear equations
Quaternions
Simulation
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Summary:The paper deals with the estimation problem of a discrete-time vectorial quaternion signal which is observed through a linear dynamic system with intermittent observations and autocorrelated and cross-correlated noises. Under Cη-properness conditions, a semi-widely linear processing is considered to provide filtering, fixed-point and fixed-lag smoothing algorithms for estimating the quaternion state. The proposed solutions give a substantial reduction in computational burden in relation to the widely linear estimation techniques, this benefit being impossible to be fully captured by using a real number framework. The feasibility and performance of the aforementioned algorithms are illustrated by means of simulation examples.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2020.02.012