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Diffstat (limited to '1895/CH11/EX11.51/EXAMPLE11_51.SCE')
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diff --git a/1895/CH11/EX11.51/EXAMPLE11_51.SCE b/1895/CH11/EX11.51/EXAMPLE11_51.SCE new file mode 100755 index 000000000..dc61fab4b --- /dev/null +++ b/1895/CH11/EX11.51/EXAMPLE11_51.SCE @@ -0,0 +1,31 @@ +//ANALOG AND DIGITAL COMMUNICATION
+//BY Dr.SANJAY SHARMA
+//CHAPTER 11
+//Information Theory
+clear all;
+clc;
+printf("EXAMPLE 11.51(PAGENO 535)");
+
+//given
+P_x1 = .3//probability of first signal
+P_x2 = .4//probability of second signal
+P_x3 = .3//probability of third signal
+P_YX = [.8 .2 0;0 .1 0; 0 .3 0.7]//matrix obtained from the figure
+
+//calculations
+I_x1 = -log2(P_x1);
+I_x2 = -log2(P_x2);
+I_x3 = -log2(P_x3);
+H_X = P_x1*I_x1 + P_x2*I_x2 + P_x3*I_x3 //entropy
+P_y1 = P_YX(1,1)*P_x1 + P_YX(1,2)*P_x1 + P_YX(1,3)*P_x1;
+P_y2 = P_YX(2,1)*P_x2 + P_YX(2,2)*P_x2 + P_YX(2,3)*P_x2;
+P_y3 = P_YX(3,1)*P_x3 + P_YX(3,2)*P_x3 + P_YX(3,3)*P_x3;
+I_y1 = -log2(P_y1);
+I_y2 = -log2(P_y2);
+I_y3 = -log2(P_y3);
+H_Y = -P_y1*I_y1 - P_y2*I_y2 - P_y3*I_y3 //entropy
+
+//results
+printf("\n\n Entropy H(X) = %.2f",H_X );
+printf("\n\nEntropy H(Y) = %.2f",H_Y);
+printf("\n\n Note:There is mistake in the calculation of P_y3 in the textbook so their is change in entropy H_Y")
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