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+//ANALOG AND DIGITAL COMMUNICATION

+//BY Dr.SANJAY SHARMA

+//CHAPTER 11

+//Information Theory

+clear all;

+clc;

+printf("EXAMPLE 11.49(PAGENO 534)");

+

+//given

+P_x1 = .4//probability of first signal

+P_x2 = .2//probability of second signal

+P_x3 = .8//probability of third signal

+P_x4 = .08//probability of fourth signal

+P_x5 = .02//probability of fifth signal

+n1 = 2//number of bits in code obtained from table given textbook

+n2 = 3//number of bits in code obtained from table given textbook

+n3 = 1//number of bits in code obtained from table given textbook

+n4 = 4//number of bits in code obtained from table given textbook

+n5 = 4//number of bits in code obtained from table given textbook

+

+//calculations

+L = P_x1*n1 + P_x2*n2 + P_x3*n3 + P_x4*n4 + P_x5*n5;//average codeword length per symbol

+//since sigma = sqrt(summation of product of probability and (n- L)^2)

+sigmasquare = P_x1*(n1-L)^2 + P_x2*(n2-L)^2 +P_x3*(n3-L)^2 + P_x4*(n4-L)^2 +P_x5*(n5-L)^2;//Variance of codewoed length

+

+//results

+printf("\n\nVariance of codeword length =%.4f",sigmasquare)