A.M. Mezhuev1, A.V. Korennoi2, T.Yu. Uryvskaya3, D.L. Sturov4

1-4 MESC of the Air Force «N.E. Zhukovsky and Yu.A. Gagarin Air Force Academy» (Voronezh, Russia)

Article is devoted finding of analytical expressions for the functions of information efficiency received in the course of simulation modeling for telecommunication systems with various structures.

In the operation prologue singularities analytical and simulation modeling are defined at an estimation of efficiency of an information exchange in telecommunication systems. The classical analytical model of Kleinrok for one-channel system with the multiple access organization on algorithm synchronous ALOHA is presented. In the given model the generalized indexes of an estimation of information efficiency of telecommunication systems are applied: specific integral loading, the maximum specific integral loading and coefficient of the useful usage of possibilities of system on transmission and information storage. The concept of function of information efficiency of telecommunication system, as dependences of coefficient of the useful usage on the input traffic is entered. Analytical expression of function of information efficiency in classical model of Kleinrok for one-channel system of type synchronous ALOHA which is offered for using as reference dependence at the analysis of functions of efficiency of difficult structures of telecommunication systems is received. The urgency and the purpose of the operation consisting in obtaining of approximate analytical expressions for functions of information efficiency of telecommunication systems with various topology and in establishment of their classification signs for the decision of tasks of monitoring, designing and the organization of systems for specific conditions of an information exchange are formulated.

In the main part of operation applied methods of research and the received results of modeling are presented. All researched structures of telecommunication systems are conditionally broken into three main groups: nodal, planimetric type and the regular topology. As objects of researches for the presented groups basic elementary structures «star», «ring» and «full coherent» with an amount of switching nodes from 5 to 7 have been considered, accordingly. With application of a method of the least squares and piecewise approximation (оn increase and decrease sections) analytical expressions are received and dependences for functions of information efficiency of telecommunication systems with researched topology are constructed. On the basis of the analysis classification signs of analytical dependences for separate types of structures are installed. On an increase interval: for topology of nodal type («star») – functions of information efficiency are described with usage of sedate functions of the sixth and seventh orders; for planimetric structures («ring») – expressions on the basis of sedate polynomials of the seventh order are received; for regular («full coherent») topology ­– with application of sedate functions of the fifth and seventh orders. On an interval of decrease for all structures of function of efficiency are analytically described by decreasing exhibitors with selection of coefficients for value of the input traffic. It is thus marked that the received dependences will be coordinated on an interval of decrease with behavior of reference classical model of Klejnrok for one-channel system of type synchronous ALOHA.

In a final part of operation the main outputs by results of researches are formulated and practical recommendations about their usage for increase of efficiency of functioning of telecommunication systems are made. Possibilities on formation on their basis of databases of topology of the telecommunication systems providing the best quality of functioning in specific conditions of an information exchange on intensity of the input traffic are defined.

Mezhuev A.M., Korennoi A.V., Uryvskaya T.Yu., Sturov D.L. Тhe analytical description of functions of information efficiency of telecommunication systems with various structures. Radiotekhnika. 2022. V. 86. № 9. P. 113−125. DOI: https://doi.org/10.18127/j00338486-202209-12
(In Russian)

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