Files
Algorithm/OS_CFAR.m

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1.9 KiB
Mathematica
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2020-09-06 15:20:13 +08:00
%-OS-CFAR<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȱ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӳ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ܷ<EFBFBD><EFBFBD><EFBFBD>-
clc;
clear all;
N=32;
r=3; %CMLD_CFAR<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɸ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>r<EFBFBD><EFBFBD><EFBFBD>ϴ<EFBFBD><EFBFBD>IJο<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ
R=N-r; %<EFBFBD>ο<EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
n=N/2; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
k=3*N/4;
T=16.2933; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><EFBFBD>
Pfa=1e-6; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
syms T0
g=Pfa-k*nchoosek(R,k)*gamma(R-k+1+T0)*gamma(k)/gamma(R+T0+1);
x=solve(g);
T0=double(x);
M=1e4; %<EFBFBD><EFBFBD><EFBFBD>ؿ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
SNR_dB=5:1:35; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
SNR=10.^(SNR_dB./10);
Simul_len=length(SNR); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%OS-CFAR ideal%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:Simul_len
Pd(i)=OS_Pd_Fun(N,k,T,SNR(i));
end
plot(SNR_dB,Pd,'b');
hold on
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%OS-CFAR simulation%%%%%%%%%%%%%%%%%%%%%%%%
for i=1:Simul_len
count=0;
for j=1:M
lambda=1; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ΪN
u=rand(1,N);
exp_noise=log(u)*(-lambda);
lambda=SNR(i); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ
u=rand(1,2);
CUT=log(u(1))*(-lambda);
exp_noise(N)=log(u(2))*(-lambda);
exp_noise=sort(exp_noise);
if(CUT>T*exp_noise(k))
count=count+1;
end
end
Pd_sim(i)=count/M;
end
plot(SNR_dB,Pd_sim,'-*r');
hold on
%%%%%%%%%%%%%%%CMLD_CFAR<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɸ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>r<EFBFBD><EFBFBD><EFBFBD>ϴ<EFBFBD><EFBFBD>IJο<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>%%%%%%%%%%%%%%%%%%
for i=1:Simul_len
count=0;
for j=1:M
lambda=1; %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ΪN-1
u=rand(1,N-1);
exp_noise(1:N-1)=log(u)*(-lambda);
lambda=SNR(i); %<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD>һ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ŀ<EFBFBD><EFBFBD>
u=rand(1,2);
CUT=log(u(1))*(-lambda);
exp_noise(N)=log(u(2))*(-lambda);
exp_noise=sort(exp_noise);
exp_noise1(1:N-r)=exp_noise(1:N-r);
if(CUT>T0*exp_noise1(k))
count=count+1;
end
end
Pd_sim_1(i)=count/M;
end
plot(SNR_dB,Pd_sim_1,'--g');
hold on
title('OS-CFAR <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>,N=32,Pf=1e-6');
xlabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(dB)');ylabel('<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>');
legend('OS-ideal','OS-simulation','OS-1interference');