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An Information Entropy-Based Modeling Method for the Measurement System

Measurement is a key method to obtain information from the real world and is widely used in human life. A unified model of measurement systems is critical to the design and optimization of measurement systems. However, the existing models of measurement systems are too abstract. To a certain extent,...

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Autores principales: Kong, Li, Pan, Hao, Li, Xuewei, Ma, Shuangbao, Xu, Qi, Zhou, Kaibo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515194/
https://www.ncbi.nlm.nih.gov/pubmed/33267405
http://dx.doi.org/10.3390/e21070691
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author Kong, Li
Pan, Hao
Li, Xuewei
Ma, Shuangbao
Xu, Qi
Zhou, Kaibo
author_facet Kong, Li
Pan, Hao
Li, Xuewei
Ma, Shuangbao
Xu, Qi
Zhou, Kaibo
author_sort Kong, Li
collection PubMed
description Measurement is a key method to obtain information from the real world and is widely used in human life. A unified model of measurement systems is critical to the design and optimization of measurement systems. However, the existing models of measurement systems are too abstract. To a certain extent, this makes it difficult to have a clear overall understanding of measurement systems and how to implement information acquisition. Meanwhile, this also leads to limitations in the application of these models. Information entropy is a measure of information or uncertainty of a random variable and has strong representation ability. In this paper, an information entropy-based modeling method for measurement system is proposed. First, a modeling idea based on the viewpoint of information and uncertainty is described. Second, an entropy balance equation based on the chain rule for entropy is proposed for system modeling. Then, the entropy balance equation is used to establish the information entropy-based model of the measurement system. Finally, three cases of typical measurement units or processes are analyzed using the proposed method. Compared with the existing modeling approaches, the proposed method considers the modeling problem from the perspective of information and uncertainty. It focuses on the information loss of the measurand in the transmission process and the characterization of the specific role of the measurement unit. The proposed model can intuitively describe the processing and changes of information in the measurement system. It does not conflict with the existing models of the measurement system, but can complement the existing models of measurement systems, thus further enriching the existing measurement theory.
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spelling pubmed-75151942020-11-09 An Information Entropy-Based Modeling Method for the Measurement System Kong, Li Pan, Hao Li, Xuewei Ma, Shuangbao Xu, Qi Zhou, Kaibo Entropy (Basel) Article Measurement is a key method to obtain information from the real world and is widely used in human life. A unified model of measurement systems is critical to the design and optimization of measurement systems. However, the existing models of measurement systems are too abstract. To a certain extent, this makes it difficult to have a clear overall understanding of measurement systems and how to implement information acquisition. Meanwhile, this also leads to limitations in the application of these models. Information entropy is a measure of information or uncertainty of a random variable and has strong representation ability. In this paper, an information entropy-based modeling method for measurement system is proposed. First, a modeling idea based on the viewpoint of information and uncertainty is described. Second, an entropy balance equation based on the chain rule for entropy is proposed for system modeling. Then, the entropy balance equation is used to establish the information entropy-based model of the measurement system. Finally, three cases of typical measurement units or processes are analyzed using the proposed method. Compared with the existing modeling approaches, the proposed method considers the modeling problem from the perspective of information and uncertainty. It focuses on the information loss of the measurand in the transmission process and the characterization of the specific role of the measurement unit. The proposed model can intuitively describe the processing and changes of information in the measurement system. It does not conflict with the existing models of the measurement system, but can complement the existing models of measurement systems, thus further enriching the existing measurement theory. MDPI 2019-07-15 /pmc/articles/PMC7515194/ /pubmed/33267405 http://dx.doi.org/10.3390/e21070691 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kong, Li
Pan, Hao
Li, Xuewei
Ma, Shuangbao
Xu, Qi
Zhou, Kaibo
An Information Entropy-Based Modeling Method for the Measurement System
title An Information Entropy-Based Modeling Method for the Measurement System
title_full An Information Entropy-Based Modeling Method for the Measurement System
title_fullStr An Information Entropy-Based Modeling Method for the Measurement System
title_full_unstemmed An Information Entropy-Based Modeling Method for the Measurement System
title_short An Information Entropy-Based Modeling Method for the Measurement System
title_sort information entropy-based modeling method for the measurement system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515194/
https://www.ncbi.nlm.nih.gov/pubmed/33267405
http://dx.doi.org/10.3390/e21070691
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