| Authors |
Medvedeva Svetlana Nikolaevna, candidate of technical sciences, associate professor, sub-department of electric power and electrical engineering, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: sn-medvedeva@yandex.ru
Chernetsov Vladimir Ivanovich, doctor of technical sciences, professor, sub-department of applied and business informatics, Penza Cossack Institute of Technology (branch) of the Moscow State University of Technology and Management named after K. G. Razumovsky (First Cossack University) (6 Volodarskogo street, Penza, Russia), E-mail: chvi.fortuna@mail.ru
Chernetsov Mikhail Vladimirovich, candidate of technical sciences, associate professor, head of sub-department of technical quality management, Penza State Technological University (1a/11 Baydukova passage/Gagarin street, Penza, Russia), E-mail: kafedratuk@yandex.ru
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| Abstract |
Background. The object of study is the measuring circuit of the model objects of different nature: physical and biological objects, digital-to-analog converters on the basis of bit-for-bit resistive nets, long lines of communication, a resistive-capacitive sensors etc. They are displayed by means of the generalized signal graph (GSG), and their parameters are calculated by the graphic-analytical methods. The aim of the work is to clarify the classification of GSG for typical structures of measuring circuits.
Materials and methods. The study is based on the topological approach to the studied objects and phenomena. The results obtained are consistent with the basic provisions of graph theory and algebraic methods, allowing to quickly obtain mathematical expressions.
Results. Various objects and their structures in the form of GSG are investigated. It is revealed that in the graphs the standard measurement schemes are often found repeated on the topology of the subgraphs. Among topological structures as standard elements it is necessary to allocate star-shaped, ring, meander and tape GSG. The equations for calculating the parameters of a typical measurement applications.
Conclusions. It is shown that among all the above structures GSG occupy a special place tape GSG, which can be considered as the most universal typical elements, of which can be composed of generalized signal graphs of other types. Displaying the structures of measuring circuits in the form of GSG is of practical interest because they characterize real physical objects and simplify the calculation of their parameters using topological formulas for typical measuring circuits.
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