The code is as below:
% Script for simulating binary phase shift keyed transmission and % reception and compare the simulated and theoretical bit error % probability clc;clear;close all
N = 10^8 % number of bits or symbols
rand('state',100); % initializing the rand() function
randn('state',200); % initializing the randn() function
% Transmitter
ip = rand(1,N)>0.5; % generating 0,1 with equal probability
s = 2*ip-1; % BPSK modulation 0 -> -1; 1 -> 1
n = 1/sqrt(2)*[randn(1,N) + j*randn(1,N)]; % white gaussian noise, 0dB variance
Eb_N0_dB = [-3:10]; % multiple Eb/N0 values
for ii = 1:length(Eb_N0_dB)
y = s + 10^(-Eb_N0_dB(ii)/20)*n;
ipHat = real(y)>0;
nErr(ii) = size(find([ip- ipHat]),2);
end
simBer = nErr/N; % simulated ber
theoryBer = 0.5*erfc(sqrt(10.^(Eb_N0_dB/10))); % theoretical ber
% plot
close all
figure
semilogy(Eb_N0_dB,theoryBer,'b.');
hold on
%semilogy(Eb_N0_dB,simBer,'mx-');
legend('theory', 'simulation');
xlabel('SNR dB');
ylabel('BER Bit Error Rate');
title('Bit error probability curve for BPSK modulation');
