Volume 7, no. 4Pages 120 - 125

A Mathematical Model of Noise in the Measuring Channels of Intelligent Systems

G.I. Volovich, E.V. Solomin, I.G. Topolskaya, D.V. Topolsky
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.
Full text
mathematical model; noise; intelligent systems; quantization frequency.
1. Davydov A.V. Signaly i lineynye sistemy: Tematicheskie lektsii [Signals and Linear Systems: Thematic Lectures]. Yeakaterinburg, UGGU, IGG, 2005. 289 p. (in Russian)
2. Rathore T.S. Digital Measurement Techniques. Bristol, Alpha Science Int., 2003. 376 p.
3. V'yukhin V.N., Popov Y.A., Tani Y.L. [Research of Method of Coherent Sampling for Testing of High Charge ADC]. Avtometriya [Optoelectronics, Instrumentation and Data Processing], 1997, no. 5, pp. 9-14. (in Russian)
4. Bennett W.R. Spectra of Quantized Signals. Bell Systems Technical Journal, 1948, vol. 27, issue 3, pp. 446-472. DOI: 10.1002/j.1538-7305.1948.tb01340.x
5. Tihonov V.I. Statisticheskaya radiotekhnika [Statistic Radio Engineering]. Moscow, Radio i svyaz, 1982. 624 p.
6. Kuzin L.T. Raschet i proektirovanie diskretnykh sistem upravleniya [Calculation and Development of Discrete Control Systems]. Moscow, Mashgiz, 1962. 684 p.
7. Analog-Digital Converting. Edited by W. Kester, Analog Devices, Inc. 2004. 1016 p.
8. Gubler G.B., Gutnikov V.S. [Algorythms of Digital Processing of Signals of Multi-Functional Etalon Device for Measuring the Electric Engineering Values]. Available at: http://www.mars-energo.ru/p/a/algorithms.pdf (accessed 6 September 2014)