Frequency Modulation In this question, Frequency Modulation will be simulated. L

Question

Frequency Modulation

In this question, Frequency Modulation will be simulated. Let f= 0.5 kHz and fc = 60 kHz. Perform the following: (a) For a given m(t) = cos(2x500)t), derive the FM modulated signal sm(t) and its Fourier Transform for -2. (b) Using MATLAB plot sFM(t), and obtain and plot its Fourier Transform from part (a). case by changing to a suitable value so that the system is (c) Simulate the narrow-band narrow-band. Plot sFM(t) and its Fourier Transform once more and show that it is narrow band (d) For the narrowband case, compare the spectrum if we were using the regular AM modulation with ka= 0.8 and the same fe. Comment on what you observe. (e) Now change value to 5. Plot results and comment on what you observe-contrast with the results obtained in part (c).

Explanation / Answer

clc
clear all
close all
t = 0:0.001:1; %upto 1000 samples
vm = input('Enter Amplitude (Message) = ');
vc = input('Enter Amplitude (Carrier) = ');
fM = input('Enter Message frequency = ');
fc = input('Enter Carrier frequency = ');
m = input('Enter Modulation Index = ');
msg = vm*sin(2*pi*fM*t);
subplot(3,1,1); %plotting message signal
plot(t,msg);
xlabel('Time');
ylabel('Amplitude');
title('Message ');

carrier = vc*sin(2*pi*fc*t);
subplot(3,1,2); %plotting carrier signal
plot(t,carrier);
xlabel('Time');
ylabel('Amplitude');
title('Carrier Signal');

y = cos(2*pi*(500t));
subplot(3,1,3);%plotting FM (Frequency Modulated) signal
plot(t,y);
xlabel('Time');
ylabel('Amplitude');
title('FM Signal');

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