Olatunjisa
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pls i need help in plotting Pd vs Snr using Energy Detection technique in Cognitive Radio spectrum sensing. I've been successful with the ROC plot of Pd vs Pf. But the Pd vs Snr (db) is not producing the expected result. Pls kindly help me out. the codes i'm working with are given below:
close all;
clear all;
clc;
m=1000;
N =2*m; %sample points N=T/Ts=T/1/2W=2TW
Pf =0.01 %False alarm
totalaccum= 0;
snr_avgdB =-20:20; %SNR=Ps/(N0*W)
snr_avg = power(10,snr_avgdB/10); %db to linear snr
for i=1:length(Pf)
Over_Num = 0;
Th(i) = chi2inv(1-Pf(i),2*m);
%Th(i) = gaminv(1-Pf(i),m,1)*2; %Threshold for given Pf(i)according to Digham 2003
for kk = 1:1000 %Monter-Carlo times
%If Transmmiting Single tone
t = 1:N; %samples
x = sin(pi*t); %single tone, Fs=2F0
noise = randn(1,N); %Noise production
pn = mean(noise.^2); %Noise power average
% pn = (std(noise))^2; %Noise power average
amp = sqrt(noise.^2*snr_avg);
x=amp.*x./abs(x);
SNRdB_Sample=10*log10(x.^2./(noise.^2));
signal = x(1:N);
ps = mean(abs(signal).^2); %signal average power
%awgn channels
Rev_sig = signal + noise; %received signal for detection
accum_power(i) = sum(abs(Rev_sig.^2))/pn; %accumulated received power(normalized to noise power)
if accum_power(i)>Th(i)
Over_Num = Over_Num +1; %decide 1 or 0, present or absent
end
end
Pd_sim(i) = Over_Num / kk; %Detection probability computation
end
figure
loglog(,Pd_sim,'*r');%Complementary ROC Curve
title('Complementary ROC of CED with SNR=-15')
grid on
axis([0.1,1,0.1,1]);
xlabel('Snr (db)');
ylabel('Pd');
close all;
clear all;
clc;
m=1000;
N =2*m; %sample points N=T/Ts=T/1/2W=2TW
Pf =0.01 %False alarm
totalaccum= 0;
snr_avgdB =-20:20; %SNR=Ps/(N0*W)
snr_avg = power(10,snr_avgdB/10); %db to linear snr
for i=1:length(Pf)
Over_Num = 0;
Th(i) = chi2inv(1-Pf(i),2*m);
%Th(i) = gaminv(1-Pf(i),m,1)*2; %Threshold for given Pf(i)according to Digham 2003
for kk = 1:1000 %Monter-Carlo times
%If Transmmiting Single tone
t = 1:N; %samples
x = sin(pi*t); %single tone, Fs=2F0
noise = randn(1,N); %Noise production
pn = mean(noise.^2); %Noise power average
% pn = (std(noise))^2; %Noise power average
amp = sqrt(noise.^2*snr_avg);
x=amp.*x./abs(x);
SNRdB_Sample=10*log10(x.^2./(noise.^2));
signal = x(1:N);
ps = mean(abs(signal).^2); %signal average power
%awgn channels
Rev_sig = signal + noise; %received signal for detection
accum_power(i) = sum(abs(Rev_sig.^2))/pn; %accumulated received power(normalized to noise power)
if accum_power(i)>Th(i)
Over_Num = Over_Num +1; %decide 1 or 0, present or absent
end
end
Pd_sim(i) = Over_Num / kk; %Detection probability computation
end
figure
loglog(,Pd_sim,'*r');%Complementary ROC Curve
title('Complementary ROC of CED with SNR=-15')
grid on
axis([0.1,1,0.1,1]);
xlabel('Snr (db)');
ylabel('Pd');