Modeling and Parameter Estimation of Partially Coherent Signals in Radio Engineering Systems
https://doi.org/10.31854/1813-324X-2021-7-3-16-24
Abstract
The problem of modeling signals of various spatial coherence in radio engineering systems is considered. First, a mathematical model for spatially coherent signals in the form of stochastic differential equations is constructed, followed by its study in the Simulink environment. The following is a method for constructing a mathematical model for a more general case – partially coherent signals, and its accuracy is also evaluated. Based on the developed models, an algorithm for estimating the parameters of partially coherent signals is synthesized. Based on the obtained dependence of the sensitivity of the model to deviation from a priori data, conclusions are drawn about a sufficiently high accuracy of estimation using synthesized algorithms.
About the Authors
E. GlushankovRussian Federation
St. Petersburg, 193232
D. Kirik
Russian Federation
St. Petersburg, 193232
A. Lyalina
Russian Federation
St. Petersburg, 194214
References
1. Nakhmanson G.S. Spatio-Temporal Processing of Broadband Signals. Moscow: Radiotekhnika Publ.; 2015. 256 p (in Russ.)
2. Kremer I.A. Space-Time Signal Processing. Moscow: Radio i sviaz Publ.; 1984. 224 p. (in Russ.)
3. Klovsky D.D., Kontorovich V.Ya., Shirokov S.M. Models of Continuous Communication Channels Based on Stochastic Differential Equations. Moscow: Radio i sviaz Publ.; 1984. (in Russ.)
4. Glushankov E.I., Kontorovich V.Ya. Mathematical Modeling of Signals of Different Spatial Coherence in Radio Communication Systems. Adaptive Radio Engineering Systems with Antenna Arrays. Leningrad: Leningrad University Publ.; 1991. p.432–
5. (in Russ.)
6. Glushankov E.I., Tunguskov N.V. Markov Models of Vector Random Processes Describing the Parameters of the Functioning of Customs and Logistics Terminals. Scientific Horizons. 2020;1(29):32–42. (in Russ.)
7. Chen M.-F., Mao Y.-H. Introduction to Stochastic Processes. Vol. 2. Higher Education Press and World Scientific; 2021.
8. Bayram M., Partal T., Buyukoz G.O. Numerical methods for simulation of stochastic differential equations. Advances in Difference Equations. 2018(1):17. DOI:10.1186/s13662-018-1466-5
9. Lyalina A. Modeling a Satellite Communication Channel Based on Stochastic Differential Equations. Proceedings of Regional Scientific and Methodological Conference of Undergraduates and their Leaders on Training of Professional Personnel in the Magistracy for the Digital Economy. St. Petersburg: The Bonch-Bruevich Saint-Petersburg State University of Telecommunica-tions Publ.; 2021. p.98–102. (in Russ.)
10. Glushankov E., Lyalina A., Rylov E. Modeling the satellite communication channel based on stochastic differential equations. Proceedings of the II International Scientific and Practical Conference on Information Technologies and Intelligent Decision Making Systems, ITIDMS-II-2021, 1 July 2021, Moscow, Russia. Russian New University Publ.; 2021. p.52‒59.
11. Resnick S. I. A probability path. Springer; 2019.
12. Tikhonov V.I. Statistical Radio Engineering. Moscow: Radio i sviaz Publ.; 1982. 624 p. (in Russ.)
13. Volkov L.N., Nemirovsky M.S., Shinakov Yu.S. Digital Radio Communication Systems. Moscow: Eco-Trends Publ.; 2005. 392 p. (in Russ.)
14. Galkin V.A. Digital Mobile Radio Communication. Moscow: Goryachiya liniya – Telekom Publ.; 2017. 590 p. (in Russ.)
15. Sage E., Mels J. Theory of Evaluation and its Application in Communication and Management. Moscow: Svyaz Publ.; 1976. 496 p. (in Russ.)
16. Rosenwasser E.N., Yusupov R.M. Sensitivity of Control Systems. Moscow: Nauka Publ.; 1981. 464 p. (in Russ.)
17. Losev Yu.I. Adaptive Interference Compensation in Communication Channels. Moscow: Radio i sviaz Publ.; 1988. 208 p. (in Russ.)
18. Tikhonov V.I., Kharisov V.N. Statistical Analysis and Synthesis of Radio-Technical Devices and Systems. Moscow: Goryachiya liniya – Telekom Publ.; 2014. 608 p. (in Russ.)
19. Shakhtarin B.I. Filters of Wiener and Kalman. Moscow: Goryachiya liniya – Telekom Publ.; 2018. 396 p.
Review
For citations:
Glushankov E., Kirik D., Lyalina A. Modeling and Parameter Estimation of Partially Coherent Signals in Radio Engineering Systems. Proceedings of Telecommunication Universities. 2021;7(3):16-24. (In Russ.) https://doi.org/10.31854/1813-324X-2021-7-3-16-24