ABSTRACT

The z-transform involves multiplying an infinite sequence of samples by a function of z and the sample number and summing the resulting series to infinity. The Laplace transform involves multiplying a continuous function of time by a function of s and time and integrating the result to infinity. They are obviously closely related, and in this chapter we examine ways of finding one from the other. We also look at another transform, the w-transform, which is useful as a design method for approximating discrete time control starting from an s-plane specification.