Suppose the normalized pulse shape, h(t), shown below, is used to generate the pulse train v(t) = vnhr(t - nT) N=- where {n} are the transmitted symbols, with each Un selected independently from {-1, +1} with equal probability. The pulse train is then used to modulate the amplitude of a sinusoidal carrier wave, giving the transmitted bandpass signal vc(t) = v(t)2 cos(2fct) where fe is the carrier frequency. hT(t) L Fila T t (a) Find a simple mathematical expression for the power spectral density of ve(t). (b) Sketch the PSD of ve(t), assuming fc = 5/T. (c) What is the null-to-null bandwidth of the signal? (d) What is the 3dB bandwidth of the signal?