2

Discrete System

2.1    Definition of a System

A system is an assemblage of things that are combined to form a complex whole. When we study systems, we study the interactions and behaviors of such an assemblage when subjected to certain conditions. These conditions are called inputs. In its simplest case, a system can have one input and one output. This book deals with linear systems. We will call the input x(n) and the output y(n) as depicted in Figure 2.1.

2.2    Input and Output

The discrete signal x(n) is the continuous signal x(t) sampled at t = nTs where t is the continuous time, n is an integer, and Ts is the sampling interval. We will talk about sampling later in the text. If an input signal x(t) is available at the ...

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