ip_03_03.m
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上传日期:2013-03-02
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- % MATLAB script for Illustrative Problem 3.3.
- % Demonstration script for DSB-AM modulation. The message signal
- % is +1 for 0 < t < t0/3, -2 for t0/3 < t < 2t0/3, and zero otherwise.
- echo on
- t0=.15; % signal duration
- ts=0.001; % sampling interval
- fc=250; % carrier frequency
- snr=10; % SNR in dB (logarithmic)
- a=0.85; % modulation index
- fs=1/ts; % sampling frequency
- t=[0:ts:t0]; % time vector
- df=0.2; % required frequency resolution
- snr_lin=10^(snr/10); % SNR
- % message signal
- m=[ones(1,t0/(3*ts)),-2*ones(1,t0/(3*ts)),zeros(1,t0/(3*ts)+1)];
- c=cos(2*pi*fc.*t); % carrier signal
- m_n=m/max(abs(m)); % normalized message signal
- [M,m,df1]=fftseq(m,ts,df); % Fourier transform
- M=M/fs; % scaling
- f=[0:df1:df1*(length(m)-1)]-fs/2; % frequency vector
- u=(1+a*m_n).*c; % modulated signal
- [U,u,df1]=fftseq(u,ts,df); % Fourier transform
- U=U/fs; % scaling
- signal_power=spower(u(1:length(t))); % power in modulated signal
- % power in normalized message
- pmn=spower(m(1:length(t)))/(max(abs(m)))^2;
- eta=(a^2*pmn)/(1+a^2*pmn); % modulation efficiency
- noise_power=eta*signal_power/snr_lin; % noise power
- noise_std=sqrt(noise_power); % noise standard deviation
- noise=noise_std*randn(1,length(u)); % Generate noise.
- 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 a key to show the modulation efficiency.
- eta
- pause % Press any key to see a plot of the message.
- subplot(2,2,1)
- plot(t,m(1:length(t)))
- axis([0 0.15 -2.1 2.1])
- xlabel('Time')
- title('The message signal')
- pause
- pause % Press any key to see a plot of the carrier.
- subplot(2,2,2)
- plot(t,c(1:length(t)))
- axis([0 0.15 -2.1 2.1])
- 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)))
- axis([0 0.15 -2.1 2.1])
- xlabel('Time')
- title('The modulated signal')
- pause % Press any key to see 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('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')