Consider the signal x(t), which consists of a single rectangular pulse of unit height, is symmetric about the origin, and has a total width T_1. Sketch x(t). Sketch x(t), which is a periodic repetition of x(t) with period T_0 = 3T_1/2. Compute X(omega), the Fourier transform of x(t). Sketch |X(omega)| for |w| < 6pi/T,. Compute ak, the Fourier series coefficients of Sketch Using your answers to (c) and (d), verify that, for this example, Write a statement that indicates how the Fourier series for a periodic function can be obtained if the Fourier transform of one period of this periodic function is given.