close all;
clear all;
clc
echo on
%Input snr_in_db for test
snr_in_db=0:0.2:10;
%thorey  BER
for i=1:length(snr_in_db)
    snr=10^(snr_in_db(i)/10);
    theory_Pe(i)=erfc(sqrt(snr))/2;
     echo off;
end
%simulated BER
for i=1:length(snr_in_db)
    simulated_Pe(i)=bpsk_over_awgn(snr_in_db(i));
    echo off;
end
%plot in log(db)
semilogy(snr_in_db,theory_Pe);
xlabel('SNR(dB)');
ylabel('BER');
hold;
semilogy(snr_in_db, simulated_Pe,'*');
legend(' theoretical result',' simulated result');
hold off