Computer simulation model of signal propagation processes in coaxial cable

Abstract

Background. The paper studies processes of signal propagation in a coaxial cable as a type of artificial long lines. Utilization of analytical methods as well as natural experiments for analyzing these processes is rather difficult and not sufficiently descriptive. The aim of the paper is to develop a simulation computer model of coaxial cable represented as an artificial long line and to use this model for studying processes in it. Main attention is paid to clarify impact of irregularities in the line and matched signal transmission from the source to the load with minimal losses. Methods. Methods of computer simulation as well as complex systems analysis are used. Results. To achieve the set goal, the paper solves the tasks of a coaxial cable equivalent circuit design as an artificial long line, which includes signal source with a certain internal impedance, the line itself with a possibility to vary its parameters and the load; representation of the processes in the developed line with the help of Ohm’s and Kirchhoff’s laws in terms of differential equations of continuous time; transition from the system of differential equations to the one of difference in order to use them for computer simulation; design of a computer simulation model on the base of the obtained system of difference equations; and trial of the computer simulation model in the scenario of signal propagation in the long line with irregularities. Computer simulation results that are obtained in the paper completely correspond to the theoretical notions related to the processes in long lines in different modes of their operation. The results have allowed one to assess numerically and qualitatively, and most impotently descriptively, impact of irregularities in the line on the optimal signal transmission in it. Сonclusions. Developed computer simulation model of a coaxial cable as an artificial long line can be used for tuition processes at universities and for design and modernization of these devices. Keywords: simulation computer model, coaxial cable, artificial long line, line irregularities, matched signal transmission