ip_03_04.m
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上传日期:2013-03-02
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- % MATLAB script for Illustrative Problem 3.4.
- % Demonstration script for LSSB-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)
- fs=1/ts; % sampling frequency
- df=0.25; % desired freq. resolution
- t=[0:ts:t0]; % time vector
- snr_lin=10^(snr/10); % SNR
- % the message vector
- 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 vector
- udsb=m.*c; % DSB modulated signal
- [UDSB,udssb,df1]=fftseq(udsb,ts,df); % Fourier transform
- UDSB=UDSB/fs; % scaling
- f=[0:df1:df1*(length(udssb)-1)]-fs/2; % frequency vector
- n2=ceil(fc/df1); % location of carrier in freq. vector
- % Remove the upper sideband from DSB.
- UDSB(n2:length(UDSB)-n2)=zeros(size(UDSB(n2:length(UDSB)-n2)));
- ULSSB=UDSB; % Generate LSSB-AM spectrum.
- [M,m,df1]=fftseq(m,ts,df); % Fourier transform
- M=M/fs; % scaling
- u=real(ifft(ULSSB))*fs; % Generate LSSB signal from spectrum.
- signal_power=spower(udsb(1:length(t)))/2;
- % % Compute 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 vector.
- r=u+noise; % Add the signal to noise.
- [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 signal.
- clf
- subplot(2,1,1)
- plot(t,m(1:length(t)))
- axis([0,0.15,-2.1,2.1])
- xlabel('Time')
- title('The message signal')
- pause % Press any key to see a plot of the carrier.
- subplot(2,1,2)
- plot(t,c(1:length(t)))
- xlabel('Time')
- title('The carrier')
- pause % Press any key to see a plot of the modulated signal and its spectrum.
- clf
- subplot(2,1,1)
- plot([0:ts:ts*(length(u)-1)/8],u(1:length(u)/8))
- xlabel('Time')
- title('The LSSB-AM modulated signal')
- subplot(2,1,2)
- plot(f,abs(fftshift(ULSSB)))
- xlabel('Frequency')
- title('Spectrum of the LSSB-AM modulated signal')
- pause % Press any key to see the spectra of the message and the modulated signals.
- clf
- 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(ULSSB)))
- xlabel('Frequency')
- title('Spectrum of the LSSB-AM modulated signal')
- pause % Press any 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('Modulated signal and noise')
- xlabel('Time')
- subplot(2,1,1)
- pause % Press any key to see the spectrum of the modulated signal.
- plot(f,abs(fftshift(ULSSB)))
- title('Modulated signal spectrum')
- xlabel('Frequency')
- subplot(2,1,2)
- pause % Press a key to see the modulated signal noise in freq. domain.
- plot(f,abs(fftshift(R)))
- title('Modulated signal noise spectrum')
- xlabel('Frequency')