ip_03_09.m
上传用户:loeagle
上传日期:2013-03-02
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- % MATLAB script for Illustrative Problem 3.9.
- % Demonstration script for envelope detection. 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
- a=0.85; % modulation index
- fs=1/ts; % sampling frequency
- t=[0:ts:t0]; % time vector
- df=0.25; % required frequency resolution
- % 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
- 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
- env=env_phas(u); % Find the envelope.
- dem1=2*(env-1)/a; % Remove dc and rescale.
- signal_power=spower(u(1:length(t))); % power in modulated signal
- noise_power=signal_power/100; % 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
- env_r=env_phas(r); % envelope, when noise is present
- dem2=2*(env_r-1)/a; % Demodulate in the presence of noise.
- pause % Press any key to see a plot of the message.
- 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 modulated 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 a key to see the envelope of the modulated signal.
- clf
- subplot(2,1,1)
- plot(t,u(1:length(t)))
- axis([0 0.15 -2.1 2.1])
- xlabel('Time')
- title('The modulated signal')
- subplot(2,1,2)
- plot(t,env(1:length(t)))
- xlabel('Time')
- title('Envelope of the modulated signal')
- pause % Press a key to compare the message and the demodulated 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')
- subplot(2,1,2)
- plot(t,dem1(1:length(t)))
- xlabel('Time')
- title('The demodulated signal')
- pause % Press a key to compare in the presence of noise.
- 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')
- subplot(2,1,2)
- plot(t,dem2(1:length(t)))
- xlabel('Time')
- title('The demodulated signal in the presence of noise')