Page 331 - Schaum's Outline of Theory and Problems of Signals and Systems

318 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS AND SYSTEMS [CHAP. 6

which is plotted in Fig. 6-12(a). Similarly. for N, = 8 we get

which is plotted in Fig. 6.12(b).

(6)
Fig. 6-12

6.15. (a) Find the inverse Fourier transform x[n] of the rectangular pulse spectrum X(n)
defined by [Fig. 6-13(a)]

(b) Plot x[n] for W = r/4.

I xcn)

.tl n I
I
4f)
a 0
a 0

dl- w w - t A
1' -4-3-2-10 12 4 1 lo rr
3
(6)
Fig. 6-13