A model example for estimation of the precision of Kronecker–Chebyshev and Kronecker–Chebyshev–Akhiezer identification algorithms in the frequency domain based on RC equivalent circuits is described. The advantages of the proposed algorithms for identification problems are noted. Such problems usually include rational approximation of functions, where these functions are specified by the values of the results of measurements at fixed frequencies.
Similar content being viewed by others
References
S. F. Levin, “Theory of identification measurement problems,” Izmer. Tekhn., No. 7, 8–17 (2001); Measur. Techn., 44, No. 7, 680–694 (2001).
B. B. Damaskin and O. A. Petriy, Introduction to Electrochemical Kinetics [in Russian], Vysshaya Shkola, Moscow (1975).
M. G. Kreyn and A. A. Nudelman, The Problem of Markov Moments and Extremal Problems [in Russian], Nauka, Moscow (1973).
N. I. Akhiezer, Elements of the Theory of Elliptical Functions [in Russian], Nauka, Moscow (1970).
L. N. Bondarenko, “Determination of the parameters of the transfer function of measuring instruments from the values of the amplitude-frequency and phase-frequency characteristics,” Datch. Sistemy, No. 7, 18–20 (2004).
L. N. Bondarenko, “Methods of identification in the frequency domain in the presence of noise,” Izv. Vyssh. Ucheb. Zaved. Povolzh. Region. Tekhn. Nauki, No. 2, 113–123 (2009).
L. N. Bondarenko, “Algorithmic problems of diagnostics of cascade two-terminal networks,” in: Information Instruments: Interuniv. Coll., Izd. Penz. Gos. Univ., Penza (2008), Iss. 32, pp. 3–12.
Author information
Authors and Affiliations
Corresponding author
Additional information
An International Scientific and Technical Conference, Methods, Means, and Technologies for Generating and Processing Measurement Information, was held October 20–22, 2010 at Penza State University under the aegis of the Department of Information Measurement Technology in honor of the 60th anniversary of the Department’s founding.
The conference was organized by the Federal Agency for Education with the support from the Russian Metrological Academy, Russian Engineering Academy, International Academy for the Introduction of Information Technologies, Protsenko Start Industrial Association, Research Institute of Physical Measurements, and the Research Institute of Electronic Mechanical Devices. More than 150 instructors, post-graduate and undergraduate students, and scientific researchers at post-secondary educational institutions, scientific research institutes, and enterprises involved in the creation of measuring instruments and systems for different branches of the economy took part in the conference. A total of 47 reports were given (from 71 presenters), devoted to general questions of information measurement technologies, measurement transducers, metrological support of measuring equipment, methods and means of processing measurement information, information measurement systems, and the role of information technologies in education.
In the Conference’s conclusion it was noted that the development of new principles for the construction of information measurement systems and approaches to the processing of the results of measurements, and the development of a technology for the construction of virtual measurement tools are the most promising trends in the area of technical studies, while the development of regression methods for numerical analysis of signals, the creation of virtual measurement device and systems based on such devices, and the improvement of intelligent instrument-transforming equipment would appear to be the most promising trends in the area of practical applications.
Translated from Izmeritel’naya Tekhnika, No. 4, pp. 27–32, April, 2011.
Rights and permissions
About this article
Cite this article
Bondarenko, L.N. On the precision of the identification of systems based on RC equivalent circuits. Meas Tech 54, 400–406 (2011). https://doi.org/10.1007/s11018-011-9738-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-011-9738-4