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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3446/CH9/EX9.8/Ex9_8.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '3446/CH9/EX9.8/Ex9_8.sce')
| -rw-r--r-- | 3446/CH9/EX9.8/Ex9_8.sce | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/3446/CH9/EX9.8/Ex9_8.sce b/3446/CH9/EX9.8/Ex9_8.sce new file mode 100644 index 000000000..d2df490e5 --- /dev/null +++ b/3446/CH9/EX9.8/Ex9_8.sce @@ -0,0 +1,24 @@ +// Exa 9.8
+// To compare the performance of 16-PSK with 16-QAM.
+
+clc;
+clear all;
+
+Pb=10^-8;//BER probability
+
+//solution
+disp("For 16-PSK");
+// Pb=0.5*Q(0.552*sqrt(Eb_No));
+//since Q[sqrt(2*Eb_No)]=(1/2)*erfc[sqrt(Eb_No)] // refer page no 257 equ 9.35
+deff('y=f(x)','y=0.25*erfc(sqrt(0.5*0.552^2*x))-Pb');
+[x,v,info]=fsolve(0.1,f); //x=Eb_No
+
+printf('Using equation 9.50 we get Eb/No as %d dB (approx) \n ',round(10*log10(x)));
+disp("For 16-QAM");
+//Pb=0.75*Q(sqrt(0.8*Eb_No));
+deff('y=f1(x1)','y=(3/8)*erfc(sqrt(0.4*x1))-Pb'); //x=Eb_No
+//since Q[sqrt(2*Eb_No)]=(1/2)*erfc[sqrt(Eb_No)] // refer page no 257 equ 9.35
+[x1,v1,info1]=fsolve(0.1,f1); //x=Eb_No
+printf('Using equation 9.66 we get Eb/No as %d dB (approx)\n ',round(10*log10(x1)));
+disp("");
+printf('Thus 16-QAM has an advantage of about %d dB compared to 16-PSK \n ',10*log10(x)-10*log10(x1));
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