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| author | priyanka | 2015-06-24 15:03:17 +0530 |
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| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1895/CH11/EX11.9 | |
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| -rwxr-xr-x | 1895/CH11/EX11.9/EXAMPLE11_9.SCE | 26 |
1 files changed, 26 insertions, 0 deletions
diff --git a/1895/CH11/EX11.9/EXAMPLE11_9.SCE b/1895/CH11/EX11.9/EXAMPLE11_9.SCE new file mode 100755 index 000000000..5eaf36344 --- /dev/null +++ b/1895/CH11/EX11.9/EXAMPLE11_9.SCE @@ -0,0 +1,26 @@ +//ANALOG AND DIGITAL COMMUNICATION
+//BY Dr.SANJAY SHARMA
+//CHAPTER 11
+//Information Theory
+clear all;
+clc;
+printf("EXAMPLE 11.9(PAGENO 492)");
+//given
+Px_1 = .4//probability of first symbol
+Px_2 = .3//probability of second symbol
+Px_3 = .2//probability of third symbol
+Px_4 = .1//probability of fourth symbol
+
+//calculations
+H_X = -Px_1*log2(Px_1)-Px_2*log2(Px_2)-Px_3*log2(Px_3)-Px_4*log2(Px_4);//entropy
+Px1x2x1x3 = Px_1*Px_2*Px_1*Px_3;//product of probabilities
+Ix1x2x1x3 =-log2(Px1x2x1x3);//information of four symbols
+Px4x3x3x2 = Px_4*Px_3*Px_3*Px_2;//product of probabilities
+Ix4x3x3x2 = -log2(Px4x3x3x2);//information of four symbols
+
+//results
+printf("\n\ni.Entorpy = %.2f bits/symbol",H_X);
+printf("\n\nii.Amount of information contained in x1x2x1x3 = %.2f bits/symbol",Ix1x2x1x3);
+printf("\nThus,Ix1x2x1x3 < 7.4[=4*H_X]bits/symbol")
+printf("\n\niii.Amount of information contained in x4x3x3x2 =%.2f bits/symbol",Ix4x3x3x2);
+printf("\nThus we conclude that\nIx4x3x3x2 > 7.4[=4*H_X]bits/symbol")
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