fig3_5.rar_NOISE_SNR estimator_sample mean

%%%%%%%%%%%%%%%%%%% 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')