The information sign is in the form xb(t)=cos2fbt. fb frequency 2 kHz Carrier sign xc(t)=cos2fct is in the form. fc frequency is 4 MHz. FM modulation index is  8 a) Write the expression of the FM signal and plot it in the time domain in MATLAB. FM modulated Calculate the bandwidth of the signal according to Carson and important sideband rules and interpret the difference. Plot the spectrum of the FM signal for its significant sidebands. Calculate the total power carried by the FM signal. Calculate the power carried at the carrier frequency and the important sidebands. b) For the case where the amplitude of the information signal is kept constant and its frequency is doubled, what has been done in part a repeat. c) What is done in part a for the case where the frequency of the information signal is kept constant and its amplitude is doubled. repeat. d) Interpret comparatively the results you obtained in a, b, c. e) FM signals in a,b,c are connected to the demodulator input of the receiver under the influence of narrowband noise. Calculate the SNR values and noise factors at the demodulator input and output. Interpret your results comparatively.