ABSTRACT

We begin this chapter with a brief introduction to the input-output characteristics of a linear dynamic system. Some special features of linear dynamic systems are briefly discussed. Analogous to the Fourier and Laplace transforms applied to the continuous linear systems, the Z transform applicable to linear time-invariant discrete-time systems is studied in this chapter. The basic operational properties including the convolution theorem, initial and final value theorems, the Z transform of partial derivatives, and the inverse Z transform are presented in some detail. Applications of the Z transform to difference equations and to the summation of infinite series are discussed with examples.