4 (a) Consider the real time finite length sequence x[n] shown in figure 3: [ 04 93 02 2 3 4 Figure 3 (1) Sketch the finite length sequence y[n] whose 6-point DFT is Y[k] = "6 X(k) where X(k) is the 6-point DFT of x[n]. (!!) Sketch the finite length sequence w[n] whose 6 point DFT is : W[k]= Re {X(k)} Sketch the finite length sequence q[n] whose 3 point DFT is: (!) Q[k]= X(2k); k=0,1,2.

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4 (a) Consider the real time finite length sequence x[n] shown in figure 3:
04
93
22
Figure 3
(1)
Sketch the finite length sequence y[n] whose 6-point DFT is
= [x
6 X(k) where X(k) is the 6-point DFT of x[n].
(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.
Transcribed Image Text:4 (a) Consider the real time finite length sequence x[n] shown in figure 3: 04 93 22 Figure 3 (1) Sketch the finite length sequence y[n] whose 6-point DFT is = [x 6 X(k) where X(k) is the 6-point DFT of x[n]. (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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