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2.19 (a) Find the Fourier transform of the half-cosine pulse shown in Fig. 2.40(a). انادا g(1) g(t) A 0 (a) 0 -A (c) T T 72 g(t) A g(t) 0 (b) 0 -A (d) T T FIGURE 2.40 Problem 2.19
(b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown in Fig. 2.40(b). (c) What is the spectrum of a half-sine pulse having a duration equal to aT? (d) What is the spectrum of the negative half-sine pulse shown in Fig. 2.40(c)? (e) Find the spectrum of the single sine pulse shown in Fig. 2.40(d).