An Information Entropy-Based Modeling Method for the Measurement System

被引:6
|
作者
Kong, Li [1 ]
Pan, Hao [1 ]
Li, Xuewei [2 ]
Ma, Shuangbao [3 ]
Xu, Qi [1 ]
Zhou, Kaibo [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Artificial Intelligence & Automat, Key Lab Image Proc & Intelligent Control, Minist Educ, Wuhan 430074, Hubei, Peoples R China
[2] Henan Inst Technol, Sch Intelligent Engn, Xinxiang 453003, Henan, Peoples R China
[3] Wuhan Text Univ, Sch Mech Engn & Automat, Wuhan 430074, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
information entropy; modeling; measurement system; uncertainty; information acquisition; PROBABILISTIC THEORY;
D O I
10.3390/e21070691
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页数:14
相关论文
共 50 条
  • [1] Entropy-based modeling and measurement of sediment concentration
    Chu, CL
    Jin, WX
    ENVIRONMENTAL AND COASTAL HYDRAULICS: PROTECTING THE AQUATIC HABITAT, PROCEEDINGS OF THEME B, VOLS 1 & 2, 1997, 27 : 1203 - 1208
  • [2] Entropy-based complexity analysis for architecture of information system
    Luo Aimin
    Huang Li
    Luo Xueshan
    PROCEEDINGS OF 2008 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2008, : 1734 - 1738
  • [3] An Information Entropy-Based Method of Evidential Source Separation and Refusion
    Wang, Yuze
    Zhang, Jindong
    Qiao, Jiale
    IEEE SENSORS JOURNAL, 2020, 20 (01) : 77 - 84
  • [4] An entropy-based surface velocity method for estuarine discharge measurement
    Bechle, Adam J.
    Wu, Chin H.
    WATER RESOURCES RESEARCH, 2014, 50 (07) : 6106 - 6128
  • [5] Entropy-based representation of image information
    Ferraro, M
    Boccignone, G
    Caelli, T
    PATTERN RECOGNITION LETTERS, 2002, 23 (12) : 1391 - 1398
  • [6] Information Entropy-Based Leakage Profiling
    Ou, Changhai
    Zhou, Xinping
    Lam, Siew-Kei
    Zhou, Chengju
    Ning, Fangxin
    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2021, 40 (06) : 1052 - 1062
  • [7] Entropy-based fade modeling and detection
    San Pedro Wandelmer, Jose
    Dominguez Cabrerizo, Sergio
    Denis, Nicolas
    JOURNAL OF INFORMATION SCIENCE AND ENGINEERING, 2007, 23 (04) : 1265 - 1280
  • [8] Information in generalized method of moments estimation and entropy-based moment selection
    Hall, Alastair R.
    Inoue, Atsushi
    Jana, Kalidas
    Shin, Changmock
    JOURNAL OF ECONOMETRICS, 2007, 138 (02) : 488 - 512
  • [9] An entropy-based evaluation method for knowledge bases of medical information systems
    Hempelmann, Christian F.
    Sakoglu, Unal
    Gurupur, Varadraj P.
    Jampana, Seetaramaraju
    EXPERT SYSTEMS WITH APPLICATIONS, 2016, 46 : 262 - 273
  • [10] An entropy-based finite difference method for the energy transport system
    Ringhofer, C
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2001, 11 (05): : 769 - 795