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# Discrete Signals

## 8.1 Introduction

A signal described by a continuous function of time has a unique value at every definable instant. For example, given the continuous cosine signal c(t) = cos(2πf0t), its value at an arbitrary time such as t = 5.00012 s can be determined by computing c(5.00012) with the aid of a pocket calculator. This chapter deals with discrete time signals of the form {c(nT)} for constant T and integer n, which do not exist at every point in time, but which are generally representative of an underlying continuous signal c(t).

## 8.2 Discrete Time vs. Continuous Time Signals

Consider the task of plotting by hand some continuous signal s(t). It is usually not necessary to compute s(t) for every point on a graph. Instead, the desired shape of s(t) can be reproduced by drawing a smooth line through ...

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