Page 249 - Schaum's Outline of Theory and Problems of Signals and Systems

FOURIER ANALYSIS OF TIME SIGNALS AND SYSTEMS [CHAP. 5

Fig. 5-11

(a) Replacing A by 2A in Eq. (5.106), we have

Thus,

(b) Similarly, replacing A by 2A in Eq. (5.107), we have

Thus,

1
1
= 2 (sin o,t + -sin3w,,t + -sin 5w,r + - . -
7T 3 5
Note that x(t) is odd; thus, x(t) contains only sine terms.

5.8. Consider the periodic impulse train SG,(t) shown in Fig. 5-12 and defined by

33

- 70 0 70 2 70 I
Fig. 5-12