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.

Optimization of a Basic Network in Audio Analytics Systems

“…In the case of using the optimization equation ( 5), optimization algorithm of the 3-node network [1] generally coincides with the algorithm discussed above. The difference is only in the procedure for determining the links bundle capacity of the path of the first choice 1 V by the value of the derivative 1 H  .…”

“…The conducted studies [1] revealed that when solving optimization equations for basic structures, it is advisable to use the approximations proposed in [8] to optimize the link switching network of a hierarchical structure, because they make it possible to take into account modularity of transmission systems, structure of the switching field and the connection establishment algorithm, and, at the same time, significantly reduce number of calculations.…”

“…Considering a unidirectional three-node basic structure [1], assume that there is a set of K non-ordinary Poisson loads on the link between nodes 1 and 3, which will be replaced by equivalent recurrent loads, which are given by the pair ( )…”

“…is from (6), and 12 Hfrom (8). The considered algorithm was tested during the solution of the optimization problem of a unidirectional 3node network structure [1], for which an exact solution was previously obtained. The influence of non-Poisson load on the nature of optimization will be compared using example of a 3-node network, for which: During network optimization, link bundles of the path of the last choice were determined with a fixed weighted average loss of 1%.…”

“…Thus, in [1] a mathematical model of audio signals transmission in network-based audio analytics systems was developed. Articles [2][3][4][5] present modern approaches to audio information processing and detection of sound events.…”