A.M. Меzhuev − Ph.D. (Eng.), Associate Professor, Head of Department,

Military Educational Centre of Science of Air Forces «Air Force Academy» (Voronezh) E-mail: multitenzor@mail.ru

I.I. Pasechnikov – Dr.Sc. (Eng.), Professor, Head of Department, 

Tambov State University named after G.R. Derzhavin

E-mail: pasechnikov_ivan@mail.ru 

A.V. Korennoi – Dr.Sc. (Eng.), Professor, 

Military Educational Centre of Science of Air Forces «Air Force Academy» (Voronezh) E-mail: korennoj@mail.ru

Article is devoted research of structural and information characteristics of toroidal-shaped structures of telecommunication systems at the organization of complex multiple loop adaptation to conditions of changes of the input traffic and to influence of destabilizing factors. At carrying out of structure analysis of researched topology the mathematical apparatus of the spectral theory of graphs is applied. With usage of an ordinary spectrum model of the graph and the С-spectrum of  Fidler criteria of topological synthesis structurally stable systems are received. Formation possibilities cospectrals structures of high stability on the basis of the adaptive algorithm of change of structural redundancy are defined. The approach to the adaptive change of channel redundancy of unit cells of toroidalshaped structures which is implemented with usage of the theory of unsharp sets by the job of functions of an accessory of the communication channels corresponding to modes of an information exchange of telecommunication system is offered. With application of analytical model spectra and the main structural characteristics of researched toroidal-shaped topology are received. The analysis of results of modeling in which course the primary benefit of toroidal-shaped structures consisting in a great number of spanning trees is marked that defines a significant amount linearly independent ways or not intersected routes of information transfer is carried out. At a stage of the information analysis of telecommunication systems with toroidal-shaped structures the system of the generalized indexes in which basis lie parameter cybernetic capacity (specified with usage of capacity of information losses) and an index information transfer performance coefficient is applied. With usage of imitative-analytical modeling functions of information efficiency in the form of dependences of performance coefficient on the input traffic are received. Bandpass ranges of researched telecommunication systems and on the basis of an index a tangent of angle of band efficiency − extents of intervals of their effective functioning are defined. Two variants of structural creation of telecommunication system for implementation of structural adaptation in the conditions of change of the input traffic and destabilizing actions are offered.

For deeper analysis of function of information efficiency of telecommunication system taking into account information distortions and losses new characteristics and an index of an estimation of efficiency of an information exchange have been entered, and also classification of areas of function by information losses is presented. At researches of efficiency of an information exchange in telecommunication systems with various structures in the given interval of changes of the input traffic the normalized function of the information efficiency, which reversal have been received, gave the function of information distortions characterizing reduction of performance coefficient of information transfer concerning the maximum value (magnification of information distortions) at deviations of the input traffic from optimal value. Thus at specific value of the input traffic it is offered to estimate information distortions by value of an index - coefficient of information distortions. According to recommendations ITU-T three areas of information losses in the telecommunication system, reflecting main singularities of an information exchange in the conditions of the considerable changes of the input traffic are entered. Practical recommendations about usage of the received results at estimation of information efficiency and implementation of complex multiple loop adaptation of telecommunication system to conditions of an information exchange are formulated.

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