📄 dsb2.m
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% dsb2.m
% Matlab demonstration script for DSB-AM modulation. The message signal
% is m(t)=sinc(100t).
echo on
t0=.2; % signal duration
ts=0.001; % sampling interval
fc=250; % carrier frequency
snr=20; % SNR in dB (logarithmic)
fs=1/ts; % sampling frequency
df=0.3; % required freq. resolution
t=[-t0/2:ts:t0/2]; % time vector
snr_lin=10^(snr/10); % linear SNR
m=sinc(100*t); % the message signal
c=cos(2*pi*fc.*t); % the carrier signal
u=m.*c; % the DSB-AM modulated signal
[M,m,df1]=fftseq(m,ts,df); % Fourier transform
M=M/fs; % scaling
[U,u,df1]=fftseq(u,ts,df); % Fourier transform
U=U/fs; % scaling
f=[0:df1:df1*(length(m)-1)]-fs/2; % frequency vector
signal_power=spower(u(1:length(t))); % compute modulated signal power
noise_power=signal_power/snr_lin; % compute noise power
noise_std=sqrt(noise_power); % compute noise standard deviation
noise=noise_std*randn(1,length(u)); % generate noise sequence
r=u+noise; % add noise to the modulated signal
[R,r,df1]=fftseq(r,ts,df); % Fourier transform
R=R/fs; % scaling
pause % Press a key to show the modulated signal power
signal_power
pause %Press any key to see a plot of the message
clf
subplot(2,2,1)
plot(t,m(1:length(t)))
xlabel('Time')
title('The message signal')
pause % Press any key to see a plot of the carrier
subplot(2,2,2)
plot(t,c(1:length(t)))
xlabel('Time')
title('The carrier')
pause % Press any key to see a plot of the modulated signal
subplot(2,2,3)
plot(t,u(1:length(t)))
xlabel('Time')
title('The modulated signal')
pause % Press any key to see a plot of the magnitude of the message and the
% modulated signal in the frequency domain.
subplot(2,1,1)
plot(f,abs(fftshift(M)))
xlabel('Frequency')
title('Spectrum of the message signal')
subplot(2,1,2)
plot(f,abs(fftshift(U)))
title('Spectrum of the modulated signal')
xlabel('Frequency')
pause % Press a key to see a noise sample
subplot(2,1,1)
plot(t,noise(1:length(t)))
title('noise sample')
xlabel('Time')
pause % Press a key to see the modulated signal and noise
subplot(2,1,2)
plot(t,r(1:length(t)))
title('Signal and noise')
xlabel('Time')
pause % Press a key to see the modulated signal and noise in freq. domain
subplot(2,1,1)
plot(f,abs(fftshift(U)))
title('Signal spectrum')
xlabel('Frequency')
subplot(2,1,2)
plot(f,abs(fftshift(R)))
title('Signal and noise spectrum')
xlabel('Frequency')
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