ABSTRACT

The z-transform method provides a powerful tool for solving difference equations of any order, and hence plays a very important role in digital systems analysis. This chapter presents a study of the z-transform, its properties, and its applications. To understand the essential features of the z-transform, consider a one-sided sequence of numbers taken at uniform time intervals. The z-transform provides a very important technique in the solution of the difference equation. The inverse z-transform is an integral where the integration path is inside the region of convergence (ROC). Therefore, to find the right time function, the integration must be conducted inside the corresponding ROC. Study the use of z-transform methods in the solution of linear difference equations with constant coefficients. The chapter provides some examples which explain how to use the z-transform method for the solution of difference equations.