Abstract

Introduction: The annual increase in the transmitted information through communication channels leads to a complication in solving problems of noise immunity. To facilitate the solution of these problems, it is necessary to analyze the concepts of "invariant". This concept is found in all fields of science and therefore it is necessary to consider the various concepts of "invariant" and the authors involved in the study of this problem. To analyze the differences between the concepts of invariance in communication systems and other fields of science. And the question of the difference between the concepts of "tensor" and "matrix" is considered. The matrix description characterizes the fixed value of the object for the selected moment of time, and the tensor description allows you to get a description of the object for all moments of time and, therefore, is more general. If we consider a matrix that describes an object, then this matrix will not be an invariant object. However, often in practice, we need to make a large number of calculations, and often they are of the same type. Tensor methods of calculations are used for this, which leads to a more concise and visual form of representation. Methods and Results: To solve the problems of noise immunity of the communication system, it is necessary that the probability of errors on the receiving side does not exceed acceptable values. In communication systems, information passing through a communication channel can be transmitted to a communication channel with constant characteristics or to a communication channel with variable characteristics. If the communication channel is organized with constant characteristics, then the probability of error in this channel is a constant value. And in order to organize the noise immunity of the communication system, it is necessary to design it so that all elements of this communication system are selected, organized and synchronized so that the parameters of the communication system meet the specified requirements. To meet the specified requirements, the communication system can be absolute invariant or relative invariant to additive or non-additive interference. In conclusion, the classification of invariant communication systems according to the work of Yu. B. Okunev is considered.

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