**** PLEASE WRITE A MATLAB CODE.

AND PLEASE DO NOT COPY PASTE. BECAUSE THERE IS A SOME CHEGG MEMBERS. AND THEY ARE COPY PASTING SAME WRONG ANSWER !!!

() = ( (1/2) ) ( (3/2) )

() = 5(400)

FM signal () = 5(400 + ())

() = 2_f ()t

= 50

The demodulator consists of a differentiator, a diode (assume ideal), a low pass filter (LPF) and a capacitor for DC blocking, successively

1) Plot the message signal. Obtain and plot the magnitude spectrum of the message signal.

2) Obtain and plot the time-domain representation and magnitude spectrum of the phase ().

3) Obtain and plot the time-domain representation and magnitude spectrum of the modulated signal ().

4) Obtain and plot the time-domain representation and magnitude spectrum of the signal at each step of the demodulator. (Do the filtering in frequency domain.) Comment on the signal at each step. Compare the message signal and demodulated signal, and comment on them.

5) Do the steps above that can be done analytically, and compare to the simulation results and comment on them.