figure 2.1b in the book is wrong the minimal amplitude of the signal should start from 0 in the y-axis. so P2.1b should simply shift P2.1a to the postive direction by T/2

(a) Find the Fourier transform of the half-cosine pulse shown in Figure P2.1a. (b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown in Figure P2.1b. (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 Figure P2.1c ? (e) Find the spectrum of the single sine pulse shown in Figure P2.1d. (a) 2.5 mate ri