%%%%%%%%%%%%%%%%%%% DETECTION AND ESTIMATION THEORY %%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%% SANA SYED %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%% FIGURE 3.5 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%% CHAPTER 03 DETECTION THEORY %%%%%%%%%%%%%%%%%%%%%%%%%%%
clc
clear all
close all;
A=1;
N=10;
P_FA=[10^-1 10^-2 10^-3 10^-4 10^-5 10^-6 10^-7]
ENRS=0:0.2:20;
Pd = zeros(length(P_FA),length(ENRS));
for i=1:length(P_FA)
y=erfinv(P_FA(i));
sqrt_ENR = sqrt(10.^(ENRS./10));
x = y-sqrt_ENR;
Pd(i,:)=0.5*erfc(x/sqrt(2));
end
figure;
plot(ENRS,Pd,'LineWidth',2);
grid on;
ylabel('Probability of detection, P_D','FontWeight','bold');xlabel('Energy-to-noise-ratio (dB) 10log_1_0NA^2/\sigma^2','FontWeight','bold');
title('Detection performance for DC level in WGN PD vs ENR','FontWeight','bold');
legend('10^-1' ,'10^-2' ,'10^-3' ,'10^-4 ','10^-5' ,'10^-6' ,'10^-7')