Introduction to Digital Signal Processing

2

Discrete signals and systems

2.1 CHAPTER PREVIEW

In this chapter we will look more deeply into the nature and properties of discrete signals and systems. We will first look at a way of representing discrete signals in the time domain. You will then be introduced to the z-transform, which will allow us to move from the time domain and enter the z-domain. This very powerful transform is to discrete signals what the Laplace transform is to continuous signals. It allows us to analyse and design discrete systems much more easily than if we were to remain in the time domain. Recursive and non-recursive filters will be revisited in this new domain. We will also look at how the software package, MATLAB, can be used to help with the analysis of discrete ...