Ac matlab programs

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Ac matlab programs

  1. 1. 1. AM MODULATION AND DEMODULATIONAIM: To simulate am modulation with different modulation index using MATLABSOFTWAREEQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:fc=50000;fs=1000000;f=1000;m=0.5;a=1/m;opt=-a;t=0:1/fs:((2/f)-(1/fs));x=cos(2*pi*f*t);y=modulate(x,fc,fs,amdsb-tc,opt);subplot(221);plot(x);grid;title(modulating signal);subplot(222);plot(y);grid;title(am signal with m=0.5); % am with m=0.5m=1.0;opt=-1/m;y=modulate(x,fc,fs,amdsb-tc,opt);%am with m=1.0subplot(223);plot(y);grid;title(am with m=1.0);m=1.2;opt=-1/m;y=modulate(x,fc,fs,amdsb-tc,opt);%am with m=1.2subplot(224);plot(y);grid;title(am with m=1.2);z=demod(y,fc,fs,amdsb-tc);figure(2);plot(z);title(demodulated output);grid;
  2. 2. modulating signal am signal with m=0.5 1 40.5 2 0 0-0.5 -2 -1 -4 0 500 1000 1500 2000 0 500 1000 1500 2000 am with m=1.0 am with m=1.2 2 2 1 1 0 0 -1 -1 -2 -2 0 500 1000 1500 2000 0 500 1000 1500 2000 demodulated output 2 1.5 1 0.5 0 -0.5 0 200 400 600 800 1000 1200 1400 1600 1800 2000
  3. 3. Result : The AM modulation and demodulation is executed using MATLABsoftware.
  4. 4. 2. DSBSC MODULATION AND DEMODULATIONAIM: To simulate dsbsc modulation and demodulation using MATLAB SOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:fc=50000;fs=1000000;f=1000;m=0.5;a=1/m;opt=-a;t=0:1/fs:((2/f)-(1/fs));x=cos(2*pi*f*t);s=cos(2*pi*fc*t);%carrier signaly=modulate(x,fc,fs,amdsb-sc,opt);subplot(411);plot(x);grid;title(modulating signal);subplot(412);plot(s);grid;title(carrier signal);subplot(413);plot(y);grid;title(DSB-SC signal);z=demod(y,fc,fs,amdsb-sc);subplot(414);plot(z);title(demodulated output);grid;
  5. 5. Result : The DSB-SC modulation and demodulation is executed using MATLABsoftware.
  6. 6. modulating signal10-1 0 200 400 600 800 1000 1200 1400 1600 1800 2000 carrier signal10-1 0 200 400 600 800 1000 1200 1400 1600 1800 2000 DSB-SC signal10-1 0 200 400 600 800 1000 1200 1400 1600 1800 2000 demodulated output10-1 0 200 400 600 800 1000 1200 1400 1600 1800 2000
  7. 7. 3. FM MODULATION AND DEMODULATIONAIM: To simulate FM modulation and demodulation using MATLAB SOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:%FM generationclose all;fc=input(Enter the carrier signal freq in hz,fc=);fm=input(Enter the modulating signal freq in hz,fm =);m=input(Modulation index,m= );t=0:0.0001:0.1;c=sin(2*pi*fc*t);%carrier signalM=sin(2*pi*fm*t);% modulating signalsubplot(3,1,1);plot(t,c);ylabel(amplitude);xlabel(time index);title(Carrier signal);subplot(3,1,2);plot(t,M);ylabel(amplitude);xlabel(time index);title(Modulating signal);y=cos(2*pi*fc*t+(m.*sin(2*pi*fm*t)));subplot(3,1,3);plot(t,y);ylabel(amplitude);xlabel(time index);title(Frequency Modulated signal);
  8. 8. Result : The FM modulation and demodulation is executed using MATLAB software.
  9. 9. Carrier signal 1amplitude 0 -1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time index Modulating signal 1amplitude 0 -1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time index Frequency Modulated signal 1amplitude 0 -1 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 time index
  10. 10. 4. SSB MODULATION AND DEMODULATIONAIM: To simulate SSB modulation and demodulation using MATLAB SOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:plot_frequency = 1000;t = 0:1/plot_frequency:10;% Choose a maximum frequency for our signal in Hertzf_max = 10;% Use a sinusoidal signalA = 1;phi = 0;v = cos(2*pi*f_max*t);% Choose a modulation sensitivityk_am = 1;% Choose a carrier frequency in Hertzf_c = 100;% Perform SSBSC modulationu = k_am*v.*cos(2*pi*f_c*t) - k_am*imag(hilbert(v)).*sin(2*pi*f_c*t);% Choose a noise powerN_0 = 0;% Add some noise to our signalu_received = u + sqrt(N_0)*randn(size(u));% Perform coherent demodulationu_mixed = u_received.*cos(2*pi*f_c*t);% Choose a cutoff frequency in Hertzf_cutoff = f_c/2;% Low pass filter the signalv_reconstructed = func_low_pass_filter(t, u_mixed, f_cutoff);% Plot the resultsfigure(1)subplot(2,2,1,box,on);holdonplot(t(1:1000),v(1:1000));xlabel(t [s]);ylabel(amplitude);title(Message signal);subplot(2,2,2,box,on,YLim,[-ceil(max(abs(u(1:1000)))),ceil(max(abs(u(1:1000))))]);holdonplot(t(1:1000),u(1:1000));xlabel(t [s]);ylabel(amplitude);title(SSBSC signal);subplot(2,2,3,box,on,YLim,[-ceil(max(abs(u(1:1000)))),ceil(max(abs(u(1:1000))))]);holdonplot(t(1:1000),u_mixed(1:1000));xlabel(t [s]);ylabel(amplitude);title(Mixed signal);subplot(2,2,4,box,on);holdonplot(t(1:1000),v_reconstructed(1:1000));
  11. 11. xlabel(t [s]);ylabel(amplitude);title(Reconstructed message signal);figure(2)subplot(2,2,1,box,on);pwelch(v,[],[],[],plot_frequency);title(Message signal);subplot(2,2,2,box,on);pwelch(u,[],[],[],plot_frequency);title(SSBSC signal);subplot(2,2,3,box,on);pwelch(u_mixed,[],[],[],plot_frequency);title(Mixed signal);subplot(2,2,4,box,on);pwelch(v_reconstructed,[],[],[],plot_frequency);title(Reconstructed message signal);figure(1)
  12. 12. Result : The SSB-SC modulation and demodulation is executed using MATLABsoftware.
  13. 13. Message signal SSBSC signal 1 2 0.5 1amplitude amplitude 0 0 -0.5 -1 -1 -2 0 0.5 1 0 0.5 1 t [s] t [s] Mixed signal Reconstructed message signal 2 0.5 1 amplitude amplitude 0 0 -1 -2 -0.5 0 0.5 1 0 0.5 1 t [s] t [s]
  14. 14. Message signal SSBSC signal 0 0Power/frequency (dB/Hz) Power/frequency (dB/Hz) -50 -50 -100 -100 0 0.1 0.2 0.3 0.4 0 0.1 0.2 0.3 0.4 Frequency (kHz) Frequency (kHz) Mixed signal Reconstructed message signal 0 0Power/frequency (dB/Hz) Power/frequency (dB/Hz) -50 -50 -100 -100 0 0.1 0.2 0.3 0.4 0 0.1 0.2 0.3 0.4 Frequency (kHz) Frequency (kHz)
  15. 15. 5. PWM MODULATION AND DEMODULATIONAIM: To simulate PWM modulation and Demodulation using MATLAB SOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:%PWM wave generationt=0:0.001:1;s=sawtooth(2*pi*10*t+pi);m=0.75*sin(2*pi*1*t);n=length(s);for i=1:nif (m(i)>=s(i))pwm(i)=1;elseif (m(i)<=s(i))pwm(i)=0;endendplot(t,pwm,-r,t,m,--k,t,s,--b);grid;title(PWM wave);axis([0 1 -1.5 1.5]);
  16. 16. Result : The PWM modulation and demodulation is executed using MATLAB software.
  17. 17. PWM wave1.5 10.5 0-0.5 -1-1.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
  18. 18. 6. ANALOG SIGNAL SAMPLING AND RECONSTRUCTIONAIM: To simulate analog signal sampling and reconstruction using MATLABSOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:%creating "analog" signalclear; %clears all variablest=0:.1:20;F1=.1;F2=.2;x=sin(2*pi*F1*t)+sin(2*pi*F2*t);%plottingfigure(1);subplot(2,1,1);plot(t,x);title(Original signal)xlabel(t);ylabel(x(t));subplot(2,1,2);x_samples=x(1:10:201); %gets 21 samples of x.stem(x_samples,filled);title(Sampled signal);xlabel(n);ylabel(x_s(n));axis([0 20 -2 2]);%starting reconstruction processfigure(2);subplot(2,1,2);plot(t,x,black);holdon;plot([0 20],[0 0],black);holdoff;xlabel(t);ylabel(x(t));title(Original signal);grid;x_recon=0;subplot(2,1,1);for k=0:length(x_samples)-1stem(0:length(x_samples)-1,x_samples,filled);if k==length(x_samples)-1title(Reconstruction finished);elsetitle(Sample by sample reconstruction);endgridon; l=k:-.1:-20+k;x_recon=x_recon+x_samples(k+1)*sinc(l);axis([0 20 -2 2]);hold;plot(t,x_samples(k+1)*sinc(l),r)plot(t,x_recon);holdoff;waitforbuttonpress;end
  19. 19. Result : The Analog signal sampling and reconstruction is executed using MATLAB software.
  20. 20. Original signal 2 1x(t) 0 -1 -2 0 2 4 6 8 10 12 14 16 18 20 t Sample by sample reconstruction 2 1 0 -1 -2 0 2 4 6 8 10 12 14 16 18 20 Reconstruction finished 2 1 0 -1 -2 0 2 4 6 8 10 12 14 16 18 20 Original signal 2 1x(t) 0 -1 -2 0 2 4 6 8 10 12 14 16 18 20 t
  21. 21. 7. PPM MODULATION AND DEMODULATIONAIM: To simulate PPM modulation and demodulation using MATLAB SOFTWARE.EQUIPMENT REQUIRED:1. MATLAB SOFTWARE2. PCPROGRAM:fc=50;fs=1000;f1=200;f2=300;t=0:1/fs:((2/f1)-(1/fs));x1=0.4*cos(2*pi*f1*t)+0.5;subplot(311);plot(x1);title(message signal);GRID;subplot(312);y=modulate(x1,fc,fs,ppm);plot(y);title(PPM MODULATION);GRID;z=demod(y,fc,fs,ppm);subplot(313);plot(z);title(demodulated o/p);grid;
  22. 22. Result : The Pulse Position modulation and demodulation is executed using MATLABsoftware.
  23. 23. message signal 10.5 0 1 2 3 4 5 6 7 8 9 10 PPM MODULATION 10.5 0 0 20 40 60 80 100 120 140 160 180 200 demodulated o/p 10.5 0 1 2 3 4 5 6 7 8 9 10

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