Mathematical model of the passage of audio signals in network-based audio analytics systems

Abstract

Relevance. Nowadays, more and more audio and video analytics systems work together. But in many cases, it is necessary to quickly transfer the audio stream. Therefore, the task of reducing delays in transmission of audio streams in network-based audio analytics systems becomes relevant. The object of research is the process of audio signal transmission. The subject of research is mathematical models of audio and video streams in network systems. The purpose of this paper is to develop a mathematical model for the passage of audio signals in network-based audio analytics systems. Research results. The statement of the problem of optimizing the network of connecting lines according to the criterion of minimum capital costs is proposed. Optimization equations for a unidirectional three-node basic structure are compiled based on the problem of minimizing capital costs. Optimization equations are obtained for a bidirectional three-node basic structure. Obtained optimization equations are generalized to any structure of a network of connecting lines. The direction of further research is the development of an approximate method for quickly solving optimization equations for a network of connecting lines and assessing the adequacy of the developed model.