Discrete-time signals and systems

In this chapter we will investigate the fundamental topic of discrete-time signals and systems. We first introduce some basic and useful discrete-time signals, like the unit impulse, the sinusoidal, and white Gaussian random sequences. Then we define and represent discrete-time systems. We give some criteria with which these systems can be classified. Then for the important class of linear time-invariant (LTI) systems we focus on the state-space description that will form the basis for the analysis in following sections. We define observability and controllability and present how to evaluate the stability of LTI systems. Finally, we give some simple examples how to describe, analyze, and implement discrete-time signals and systems in MATLAB®.