A.A. L'vov – Dr.Sc.(Eng.), Professor, Department «Information and Communication Systems and Software

Engineering», Yuri Gagarin State Technical University of Saratov

E-mail: alvova@mail.ru

M.S. Svetlov – Dr.Sc.(Eng.), Leading Research Scientist, Institute of Precision Mechanics and Control RAS (Saratov) E-mail: svetlovms@yandex.ru

D.V. Klenov – Post-graduate Student, Department «Information and Communication Systems and Software Engineering», Yuri Gagarin State Technical University of Saratov

E-mail: dmklenov@yandex.ru

M.K. Svetlova – Lecturer, Yuri Gagarin State Technical University of Saratov E-mail: marinasv1992@gmail.com

The paper proposes generic mathematical model of the information channel with codec based on code signal feature. Noise with Poisson distribution of impulses and arbitrary distribution of impulse amplitudes is considered. Generic formulas are deduced for the information channel reception outcome probabilities. These formulas are used to investigate information channels with Gaussian and exponential noise impulse amplitude distribution.

1. Piterson U., Ue’ldon E’. Kody’, ispravlyayushhie oshibki: Per. s angl. // Pod redakcziej R.L. Dobrushina i S.I. Samojlenko. M.: Mir. 1976.
2. Golomb S. Czifrovy’e metody’ v kosmicheskix sistemax svyazi. M.: Svyaz’. 1969.
3. Svetlov M.S., L’vov A.A., Klenov D.V., Dolinina O.N. Algorithms of Coding and Decoding for Code with Code Signal Feature // Proceedings of the 2017 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus), St. Petersburg, Russia. 2017. P. 748−752. DOI: 10.1109/EIConRus.2017.7910666.
4. L’vov A.A., Svetlov M.S, Marty’nov P.V. Samosinxronizacziya v informaczionny’x kanalax s pomexami bol’shoj intensivnosti // Radiotexnika. 2015. № 7. S. 18−21.
5. Klenov D.V., L’vov A.A., L’vov P.A., Svetlov M.S., Svetlova M.K. Matematicheskaya model’ informaczionnogo kanala s kodekom na baze kodovogo signal’nogo priznaka // Materialy’ 8-j Vseros. nauchnoj konf. «Sistemny’j sintez i prikladnaya sinergetika» (SSPS-2017). Pos. Nizhnij Arxy’z. 2017.
6. Yurgenson R.I. Pomexoustojchivost’ czifrovy’x sistem peredachi telemexanicheskoj informaczii. L.: E’nergiya. 1971.
7. Weisstein Eric W. Normal Sum Distribution // From MathWorld – A Wolfram Web Resource. http://mathworld.wolfram.com/Normal SumDistribution.html.
8. Balakrishnan N., Basu A.P. The Exponential Distribution: Theory, Methods, and Applications. New York: Gordon and Breach. 1996.