Geodesic
A mathematical model of noise in the measuring channels of intelligent systems
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 4, pp. 120-125 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We propose a mathematical model describing quantization frequency selection in the measuring channels of intelligent systems depending on the parameters of noise. We consider internal and external sources of noise, seek the reasons for noise generation, justify the necessity of recording noise in the analog lines of measuring channels of intelligent systems. The parameters of our mathematical model of noise are: stationary white noise with normal distribution, an anti-aliasing bandwidth filter, the variance of noise at the input of an analog-digital converter, the correlation coefficient of noise. We evaluate the dependence of the selection of quantization frequency value on the parameters of noise. We show that if the right sampling frequency is selected in the conditions of broadband noise measuring then the systematic component of error is determined by the bandwidth of the low frequency analog anti-aliasing filter, while the random error is determined by the bandwidth of the low frequency digital averaging filter.
Keywords: mathematical model; noise; intelligent systems; quantization frequency. 
@article{VYURU_2014_7_4_a9,
     author = {G. I. Volovich and E. V. Solomin and I. G. Topolskaya and D. V. Topolsky},
     title = {A mathematical model of noise in the measuring channels of intelligent systems},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {120--125},
     year = {2014},
     volume = {7},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a9/}
}
TY  - JOUR
AU  - G. I. Volovich
AU  - E. V. Solomin
AU  - I. G. Topolskaya
AU  - D. V. Topolsky
TI  - A mathematical model of noise in the measuring channels of intelligent systems
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2014
SP  - 120
EP  - 125
VL  - 7
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a9/
LA  - en
ID  - VYURU_2014_7_4_a9
ER  - 
%0 Journal Article
%A G. I. Volovich
%A E. V. Solomin
%A I. G. Topolskaya
%A D. V. Topolsky
%T A mathematical model of noise in the measuring channels of intelligent systems
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2014
%P 120-125
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a9/
%G en
%F VYURU_2014_7_4_a9
G. I. Volovich; E. V. Solomin; I. G. Topolskaya; D. V. Topolsky. A mathematical model of noise in the measuring channels of intelligent systems. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 7 (2014) no. 4, pp. 120-125. http://geodesic.mathdoc.fr/item/VYURU_2014_7_4_a9/

[1] Davydov A. V., Signals and Linear Systems: Thematic Lectures, UGGU, IGG, Yeakaterinburg, 2005, 289 pp. (in Russian)

[2] Rathore T. S., Digital Measurement Techniques, Alpha Science Int., Bristol, 2003, 376 pp.; T. S. Ratkhor, Tsifrovye izmereniya. Metody i skhemotekhnika, per. s angl., Tekhnosfera, M., 2004, 376 pp.

[3] V'yukhin V. N., Popov Y. A., Tani Y. L., “Research of Method of Coherent Sampling for Testing of High Charge ADC”, Optoelectronics, Instrumentation and Data Processing, 1997, no. 5, 9–14 (in Russian)

[4] Bennett W. R., “Spectra of Quantized Signals”, Bell Systems Technical Journal, 27:3 (1948), 446–472 | DOI | MR

[5] Tihonov V. I., Statistic Radio Engineering, Radio i svyaz, M., 1982, 624 pp.

[6] Kuzin L. T., Calculation and Development of Discrete Control Systems, Mashgiz, M., 1962, 684 pp.

[7] W. Kester (ed.), Analog-Digital Converting, Analog Devices, Inc., 2004, 1016 pp.; U. Kester (red.), Analogo-tsifrovoe preobrazovanie, per. s angl., Tekhnosfera, M., 2007, 1016 pp.

[8] Gubler G. B., Gutnikov V. S., Algorythms of Digital Processing of Signals of Multi-Functional Etalon Device for Measuring the Electric Engineering Values, (accessed 6 September 2014) http://www.mars-energo.ru/p/a/algorithms.pdf