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Mekhatronika, Avtomatizatsiya, Upravlenie, 2017, vol. 18, no. 9, pp. 604—611
DOI: 10.17587/mau.18.604611
Statistical Identification of the Linear Dynamic Systems with the Use of the SignFunction AnalogStochastic Quantization of the Input and Output Signals
V. N. Yakimov, yvnr@hotmail.com, V. I. Batyschev, vib@list.ru, A. V. Mashkov, mavstu@list.ru, Samara State Technical University, Samara, 443100, Russian Federation

Corresponding author: Batishchev Vitaly I., D. Sc., Professor, Head of Department, Samara State Technical University, Samara, 443100, Russian Federation,
email: vib@list.ru
Received on February 01, 2017
Accepted on March 14, 2017
The article describes a new approach to solving of the problem of the statistical identification of the impulse response function with the auto and crosscorrelation functions of a linear dynamic system in a digital form. This approach is based on the use of the signfunction analogstochastic quantization as a primary analogtodigital conversion of the input and output of the considered system. The basis of the signfunction stochastic quantization is the use of the random auxiliary signals, which perform the function of a threshold stochastic quantization. Signfunction analogstochastic quantization allows a coarse binary quantization without a bias and regardless of the statistical properties of the investigated random signals. The binary representation of the input and output signals of the system made possible an analytical calculation of the operators of integration in the development of the digital algorithms for estimation of the impulse response functions. The main result of the use of the signfunction analogstochastic quantization is the transition from processing of multibit samples of the input and output signals to processing of the integer values of the time intervals defined by the change of the sign of the quantization result. This improves the data processing in the identification system. The final algorithms obtained for the calculation of the digital samples of the impulse response function does not require preliminary estimates of a direct calculation of the auto and crosscorrelation functions. They can be used for an online identification in realtime. A practical application of these algorithms improves the performance of the digital statistical processing of the input and output signals of the system. A brief account of the algorithmic diagram is presented. It shows the sequence of the basic instructions to be performed for calculation of the samples of the impulse response function.
Keywords: statistical identification, dynamic system, random process, sign signal, time readout, stochastic quantization
Acknowledgements: This work was supported by the Russian Foundation for Basic Research (Grant No. 160800269) 
For citation:
Yakimov V. N., Batyschev V. I., Mashkov A. V. Statistical Identification of the Linear Dynamic Systems with the Use of the SignFunction AnalogStochastic Quantization of the Input and Output Signals, Mekhatronika, Avtomatizatsiya, Upravlenie, 2017, vol. 18, no. 9, pp. 604—611.
DOI: 10.17587/mau.18.604611
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