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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /2606/CH10/EX10.25/ex10_25.sce | |
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initial commit / add all books
Diffstat (limited to '2606/CH10/EX10.25/ex10_25.sce')
| -rwxr-xr-x | 2606/CH10/EX10.25/ex10_25.sce | 42 |
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diff --git a/2606/CH10/EX10.25/ex10_25.sce b/2606/CH10/EX10.25/ex10_25.sce new file mode 100755 index 000000000..0dee7d81a --- /dev/null +++ b/2606/CH10/EX10.25/ex10_25.sce @@ -0,0 +1,42 @@ +//Page Number: 10.41
+//Example 10.25
+clc;
+//Given
+A1=0.5;
+A2=0.5;
+T=0.01; //sec
+N0=2*0.0001; //W/Hz
+f=50; //Hz
+
+//(a) Probability of bit error
+Es1=(A1^2*T)/2;
+Es2=(A2^2*T)/2;
+
+Eb=(Es1+Es2)/2;
+//As PE=Qsqrt(Ep+Eq-2Epq/2N0)
+//In this case Ep=Eq=Eb
+//Therefore PE=Qsqrt(Eb(1-p)/N0)
+//where p=Epq/Eb
+
+//p=(1/Eb)*integrate('0.5*cos(2000*%pi*t)*0.5*cos(2020*%pi*t)','t',0,T);
+//We get
+p=0.94;
+q=1-p;
+//As Pe=Q(z)
+//where z=sqrt(Eb/N0)
+z=sqrt((Eb*q)/N0);
+Pe=(1/2)*erfc(z/1.414);
+disp(Pe,'Probabilty of bit error:')
+
+//(b)
+//Given
+fs=50; //Hz
+//or fs=1/2T where T=0.001
+//This implies y=tone spacing will be orthogonal
+//Therefor p=0
+
+//As Pe=Q(z)
+//where z=sqrt(Eb/N0)
+zb=sqrt(Eb/N0);
+PB=(1/2)*erfc(zb/1.414);
+disp(PB,'Probabilty error for fs=50Hz:')
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