Page 260 - Schaum's Outline of Theory and Problems of Signals and Systems

CHAP. 51 FOURIER ANALYSIS OF TIME SIGNALS AND SYSTEMS

0 I 0
Fig. 5-18 e-Ial' and its Fourier transform.

Then

Hence, we get

The Fourier transform X(w) of x(l) is shown in Fig. 5-18(b).

Find the Fourier transform of the signal [Fig. 5-19(a)]
1
x(t) = -
a2 +t2
From Eq. (5.138) we have

Now by the duality property (5.54) we have

Fig. 5-19 l/(a2 + 1 2, and its Fourier transform.