ABSTRACT
In this chapter, the authors describe how they can transform the transfer function of an analog system in the s-domain to an equivalent transfer function of a discrete system in the z-domain. The transfer function of an analog system to transfer function of a discrete system transform can be performed by three different methods. The first method relies on the use of numerical methods for solving differential equations describing the given system and for converting them to difference equations. The second method is based on the response of an analog filter with a pole, when sampled over a time period, is represented by the response of a discrete filter. The third method is based on the identification of response of continuous-time systems to specific inputs, to those of discrete-time systems for the same inputs. The equivalent discrete-time system must have approximately the same dynamic characteristics as the original continuous-time system.
