In this task, you are asked to write a Monte Carlo simulation using Matlab to ev

Question

In this task, you are asked to write a Monte Carlo simulation using Matlab to evaluate the bit error rate (BER) for a baseband binary unipolar PAM signal transmitted over an AWGN channel. The unipolar signal symbols are generated randomly from a (0, A), where A is the sum of first number of the group students' IDs. For example, ID1 xxxxx7, ID2- yyyyy5, ID3 zzzzz0 then A-12. The symbol source probabilities are Po = 0.3 and P1-0.7 Use simulations to find the BER for signal to noise power ratios (S N of 5, 10. and 25 dB. Use the optimum threshold level. The noise should be added according to the require (S/N)R. In addition, find the theoretical BER for each case

Explanation / Answer

clc;

clear all;

close all;

a=2;

b = 10^6;

A = [0 12];

SNRV= [5 10 25];

ipHat = zeros(1,b);

for i = 1:length(SNRV)

inp = randsrc(1,b,A);

inp1(find(inp==0)) = 0;

inp1(find(inp>0)) = 1;

s = (1/sqrt((19^2)/4))*inp;

n = 1/sqrt(2)*[randn(1,b) + j*randn(1,b)];

n1 = 10^(-SNRV(i)/20)*n;

y = s + n1;

r = real(y);

ipHat(find(r<0.5)) = 0;

ipHat(find(r>=0.5)) = 1;

Err(i) = size(find([inp1- ipHat]),2);

end

BER= Err/b

theoreticalBER= (4/a)*erfc(sqrt(10.^(SNRV/10)))

output is

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