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Sahand University of TechnologyElectrical Engineering DepartmentMicroelectronic Research Center
Simulink and code DSM D-T and C-TWith matlab
By:mostafa azadbakhtAdvisor:Dr.E.Najafi aghdam
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Tow way for simulink DSM:
• Simulink block library1
• code2m.azadbakht
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Totality algorithm for build discrete _ time DSM with sumulink block library:
H(Z) QUNTIZRESAMPLE AND HOLD
U V+
Y
1
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Totality algorithm for build discrete _ time DSM with sumulink code:2
Step 3
Give FFT of output simulink and plot…
Step 2Simulink DSM with command schreier
Step 1Read the input & Read the transfusion NTF
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STEP1:Read the NTF functionNTF=synthesizeNTF(order,osr,opt)
STEP 2:Read the gain feedback:FB=realizeNTF(NTF,’CIFB’)
STEP 3:Read the gain forward:FF=realizeNTF(NTF,’CIFF’)
All step for build discrete _ time Low pass DSM with simulink block library:
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Parameters for all simulinks:Amplitude max vin=0.5 voltFin=0.0008*2*pi~0.005*piOSR=64Opt=1
constant:
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Order 1:FB1=1
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Command for draw spectrum:Plotsp(vo,vi,k);k=1.5~4
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 1’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(1,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b'),grid on
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Order 2:FB1=1 FB2=1
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 2’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(2,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Order 3:FB1=0.44 FB2=0.2881 FB3=0.7997
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 3’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(3,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Order 4:FB1=0.2923 FB2=1.4212 FB3=2.7446 FB4=2.5536FF1=2.5536 FF2=2.7446 FF3=1.4212 FF4=0.2923
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 4’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(4,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Order 5:FB1=0.1086 FB2=0.7247 FB3=2.0551 FB4=3.1432 FB5=2.6416FF1=2.6416 FF2=3.1432 FF3=2.0551 FF4=0.7247 FF5=0.1086
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 5’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(5,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Order 6:FB1=0.0325 FB2=0.2855 FB3=1.1098 FB4=2.4712 FB5=3.3619 FB6=2.6850FF1=2.6850 FF2=3.3619 FF3=2.4712 FF4=1.1098 FF5=0.2855 FF6=0.0325
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 6’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(6,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Order 7:FB1=0.0082 FB2=0.0913 FB3=0.4664 FB4=1.4036 FB5=2.7423 FB6=3.4921 FB7=2.7096FF1=2.7093 FF2=3.4921 FF3=2.7423 FF4=1.4036 FF5=0.4664 FF6=0.0913 FF7=0.0082
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 7’s order Low pass with simulink code:
close all,clear all,clcosr=64;N=1;Nlev=2^N;n=2^13;z=57;t=[0:n-1];H=synthesizeNTF(7,osr,1);u=0.5*(Nlev-1)*sin(2*pi*z/n*t);v=simulateDSM(u,H,Nlev);spec=fft(v)/(n*(Nlev-1)/2);snr=calculateSNR(spec(1:ceil(n/(2*osr))+1),z);clear ff=linspace(0,0.5,n/3);figure,plot(f,dbv(spec(1:n/3)),'b')
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Simulink DSM Band pass for all order with block library :
(Z) (Z)Z -
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CONVERT
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Simulink DSM band pass 1’s order with block library :
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 1’s order Band pass with analysis code:
close all;clear all;clcamp=0.452;n=2^15;t=[0:n];fin=0.24589746;u=amp*sin(2*pi*fin*t);y=zeros(1,n);v=y;for i=3:n; y(i)=-y(i-2)-u(i-2)+v(i-2); if y(i)>0 v(i)=1; else v(i)=-1; endendfigure(100),plotsp(u,v,2);figure(200),plot(v)
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View spectrum :
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Digital output:
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Simulink DSM band pass 2’s order with block library :
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 2’s order Band pass with analysis code:
close all;clear all;clcamp=0.452;n=2^15;t=[0:n];fin=0.24985;u=amp*sin(2*pi*fin*t);y=zeros(1,n);v=y;for i=5:n; y(i)=-2*y(i-2)-y(i-4)-2*u(i-2)-u(i-4)+2*v(i-2)+v(i-4); if y(i)>0 v(i)=1; else v(i)=-1; endendfigure(100),plotsp(u,v,2);figure(200),plot(v)
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View spectrum :
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Digital output:
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Simulink DSM band pass 3’s order with block library :
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 3’s order Band pass with analysis code:
close all;clear all;clcamp=0.452;n=2^15;t=[0:n];fin=0.24898789;u=amp*sin(2*pi*fin*t);y=zeros(1,n);v=y;for i=7:n; y(i)=-3*y(i-2)-3*y(i-4)-y(i-6)-0.8*u(i-2)-1.32*u(i-4)-0.56*u(i-6)+0.8*v(i-2)+1.32*v(i-4)+0.56*v(i-6); if y(i)>0 v(i)=1; else v(i)=-1; endendfigure(100),plotsp(u,v,2);figure(200),plot(v)
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View spectrum :
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Digital output:
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Simulink DSM band pass 4’s order with block library :
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 4’s order Band pass with analysis code:
close all;clear all;clcamp=0.452;n=2^15;t=[0:n];fin=0.24898789;u=amp*sin(2*pi*fin*t);y=zeros(1,n);v=y;for i=7:n; y(i)=-3*y(i-2)-3*y(i-4)-y(i-6)-0.8*u(i-2)-1.32*u(i-4)-0.56*u(i-6)+0.8*v(i-2)+1.32*v(i-4)+0.56*v(i-6); if y(i)>0 v(i)=1; else v(i)=-1; endendfigure(100),plotsp(u,v,2);figure(200),plot(v)
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View spectrum :
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Digital output:
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Simulink DSM band pass 5’s order with block library :
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Simulink DSM 5’s order Band pass with analysis code:
close all;clear all;clcn=2^15;t=[0:n];fin=0.25;amp=0.455;u=amp*sin(2*pi*fin*t);y=zeros(1,n);v=y;for i=11:n; y(i)=-4.998*y(i-2)-9.996*y(i-4)-9.998*y(i-6)-4.99*y(i-8)-y(i-10)-0.80769*u(i-2)-2.9141*u(i-4)-3.97*u(i-6)-2.4186*u(i-8)-0.555*u(i-10)+0.80769*v(i-2)+2.9141*v(i-4)+3.97*v(i-6)+2.4186*v(i-8)+0.555*v(i-10); if y(i)>0 v(i)=1; else v(i)=-1; endendfigure(100),plotsp(u,v,2);figure(200),plot(v)
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View spectrum :
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Digital output:
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Totality algorithm for build continuous _ time DSM with sumulink block library:1
H(Z) QUNTIZREU V+
Y
SAMPLE AND HOLD
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Order 1:
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Order 2:FB1=1 FB2=1.5
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Order 3:FB1=0.2316 FB2=0.7868 FB3=2.4154
Fg=1/650
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Order 4:FB1=0.0889 FB2=0.1379 FB3=.2039 FB4=0.3184
Fg=0.0168
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View spectrum :
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View analog in put and digital out put
Analog in
Digital out
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Calculate SNRmax
• Analytical code just for 1;s order and 2’s order1
• Simulink code for all order’s2
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close allclear allclcSNRmax=zeros(1,256);x=100;for N=1:4; %degree quantizer for osr=4:4:1024; SNRmax(osr)=6.02*N+1.76-5.17+30*log10(osr); end figure(x);plot(SNRmax); x=x+100;end
Analytical code 1’s order:
SNRmax=6.02N+1.76db-5.17db+30log(osr)
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N=1Figure 100:
SNRmax=92.92db
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N=2Figure 200:
SNRmax=98.94db
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N=3Figure 300:
SNRmax=105db
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N=4Figure 400:
SNRmax=111db
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Analytical code 2’s order:
SNRmax=6.02N+1.76db-12.9db+50log(osr)
close allclear allclcx=100;SNRmax=zeros(1,256);for N=1:4; for osr=4:4:1024; SNRmax(osr)=6.02*N+1.76-12.9+50*log10(osr); end figure(x);plot(SNRmax); x=x+100;end
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N=1Figure 100:
SNRmax=145.4db
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N=2Figure 200:
SNRmax=151.4db
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N=3Figure 300:
SNRmax=157.4db
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N=4Figure 400:
SNRmax=163.5db
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Simulink code for all order
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close all,clear all,clcformat longn=2^18;z=57;t=[0:n-1];u=0.452*sin(2*pi*z/n*t);SNRmax=zeros(1,256);x=100;for order=1:4;for N=1:4; NLEV=2^N;for osr=4:4:1024; h=synthesizeNTF(order,osr,1); v=simulateDSM(u,h,3); spec=fft(v)/(n*(NLEV-1)/2); SNRmax(osr)=calculateSNR(spec(1:ceil(n/(2*osr))+1),z); end figure(x);plot(SNRmax); x=x+100;endend
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THANK’S
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