ABSTRACT
Analog systems are designed and analyzed with the use of Laplace transforms. On the other hand, discrete-time systems are analyzed using a similar technique called z-transform. As Laplace transform converts the differential equations into algebraic terms with respect to s, z-transform converts the difference equations into algebraic terms with respect to z. Both transformations are matching a complex quantity to the points of a region of the complex plane. The implementation of z-transform results in the transportation from the discrete-time domain to z-domain. The opposite procedure is implemented with the aid of the inverse z-transform. Due to the fact that the calculation of the involved integral is quite cumbersome, usually the calculation is made in the form of tables, which provide the timing functions of basic complex functions. In general, these tables cover only some cases, thus some other methods can be used for calculating the inverse z-transform.
