2.) Consider the FM modulation scheme shown below (an Armstrong Transmitter). The maximum message frequency component is fm = 3.5 kHz. The narrow-band FM system produces an FM signal, x1(t), with modulation index ẞ = 0.15 and carrier frequency 1 MHz. Specify TWO values of fi and sketch H(f) to make x4 (t) a valid FM signal with carrier frequency 40 MHz. Choose the bandwidth of the band-pass filter, given by H (f), based on Carson's Rule for the output FM signal. Show all steps to justify your answers. frequency Conventes mits X,It\ X₂14) Zyt NBFM 10 x Freq. Mutt BPF H(+) fm-3.5kH₂ "Yit1 = cos(2π-f₁ =) a. Sketch the spectrum of a wideband FM signal with carrier fc = 100 Hz, Ac = 1, kf = 2, and m(t) = 3 cos(4nt).