📄 fm1.m
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% fm1.m% Matlab demonstration script for frequency modulation. The message signal% is +1 for 0 < t < t0/3, -2 for t0/3 < t < 2t0/3 and zero otherwise.echo ont0=.15; % signal durationts=0.0005; % sampling intervalfc=200; % carrier frequencykf=50; % Modulation indexfs=1/ts; % sampling frequencyt=[0:ts:t0]; % time vectordf=0.25; % required frequency resolution% message signalm=[ones(1,t0/(3*ts)),-2*ones(1,t0/(3*ts)),zeros(1,t0/(3*ts)+1)];int_m(1)=0;for i=1:length(t)-1 % Integral of m int_m(i+1)=int_m(i)+m(i)*ts; echo off ;endecho on ;[M,m,df1]=fftseq(m,ts,df); % Fourier transform M=M/fs; % scalingf=[0:df1:df1*(length(m)-1)]-fs/2; % frequency vectoru=cos(2*pi*fc*t+2*pi*kf*int_m); % modulated signal[U,u,df1]=fftseq(u,ts,df); % Fourier transform U=U/fs; % scalingpause % Press any key to see a plot of the message and the modulated signalsubplot(2,1,1)plot(t,m(1:length(t)))axis([0 0.15 -2.1 2.1])xlabel('Time')title('The message signal')subplot(2,1,2)plot(t,u(1:length(t)))axis([0 0.15 -2.1 2.1])xlabel('Time')title('The modulated signal')pause % Press any key to see a plots 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('Magnitude-spectrum of the message signal')subplot(2,1,2)plot(f,abs(fftshift(U))) title('Magnitude-spectrum of the modulated signal')xlabel('Frequency')
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