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Practical Signals Theory with MATLAB Applications by Richard J. Tervo

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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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