Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos (2 106t + 2TX 8 10 m(r)dr), where the modulating signal is the tone m1(t) = 5 cos(2π 10t). The FM signal is passed through an ideal bandpass filter that has a center frequency f 1 MHz, a bandwidth of 80 Hz, and a gain of unity Determine the power of the FM signal (i) at the input of the bandpass filter (ii) at the output of the bandpass filter