Page 85 - Schaum's Outline of Theory and Problems of Signals and Systems

LINEAR TIME-INVARIANT SYSTEMS [CHAP. 2

- 1 0 1 2 3 4 5 6 I
Fig. 2-9

(b)
Fig. 2-10

Using Eqs. (2.59) and (2.91, we obtain

(a) For T = 3, Eq. (2.69) becomes

which is sketched in Fig. 2-1 l(ah
(b) For T = 2, Eq. (2.69) becomes

which is sketched in Fig. 2-1 1(b).
(c) For T = 1.5, Eq. (2.69) becomes

which is sketched in Fig. 2-ll(c). Note that when T<2, the triangular pulses are no
longer separated and they overlap.