Frequency modulation:
Frequency modulation conveys information over a carrier wave by varying its instantaneous frequency. FM synthesis can create both harmonic and inharmonic sounds, the modulating signal must have a harmonic relationship to the original signal.
Code:
Clc;
clearall;
closeall;
fm=input('Message Frequency=');
fc=input('Carrier Frequency=');
mi=input('Modulation Index=');
t=0:0.0001:0.1
m=sin(2*pi*fm*t)
subplot(3,1,1)
plot(t,m)
xlabel('Time')
ylabel('Amplitude')
title('Message Signal')
gridon
c=sin(2*pi*fc*t)
subplot(3,1,2)
plot(t,c);
xlabel('Time')
ylabel('Amplitude')
title('Carrier Signal')
gridon
y=sin(2*pi*fc*t+(mi.*sin(2*pi*fm*t)));%Frequency changing w.r.t Message
subplot(3,1,3);
plot(t,y);
xlabel('Time');
ylabel('Amplitude');
title('FM Signal');
gridon;
m file:
img src="data:image/png;base64,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