PROCESSING OF TIME SIGNALS IN A DISCRETE TIME DOMAIN

This article is devoted to the processing of time signals in a discrete time domain. Time signals are the main object of analysis in many areas, such as signal processing, communication, control and much more. Today, for efficient signal processing, it is necessary to use methods adapted to the discrete time domain, using the Z-transform method to solve difference equations in the discrete time domain. The Z-transform method is a powerful and most effective tool for analyzing and solving difference equations, widely used in control systems, signal processing and other fields. The main steps of applying the Z-transformation method are also presented, starting from the formulation of the difference equation to obtaining a solution in the original time domain. Special attention is paid to the Z-transformation process, where the difference equation turns into an algebraic equation with respect to the Z operator. The basic properties of the Z-transformation and the operations with them necessary for the successful application of the method are described.