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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

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Question

4 (a) Consider the real time finite length sequence x[n] shown in figure 3:|
x{nl
94
93
-2
1 0 1 2
3 4 5
Figure 3
(i)
Sketch the finite length sequence y[n] whose 6-point DFT is
4k
W
9.
X(k) where X(k) is the 6-point DFT of x[n].
Y[k] =
(ii)
Sketch the finite length sequence w[n] whose 6 point DFT is :
W[k]= Re {X(k)}
(iii)
Sketch the finite length sequence q[n] whose 3 point DFT is :
Q[k]= X(2k) ; k=0,1,2.

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