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MatLab Code Problem Physical Layer Seccurity in Wireless Networks

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varunvirani

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Hi guys,
basically I am working on this project for Physical layer security in wireless networks. I was supposed choose a information forwarding relay and a Jamming relay from a number of relays using particular criterias.
The paper which I am following can be found here : - **broken link removed**

So basically now, I am stuck at finding the Outage Probability. My code is as follows :



Code C - [expand]
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%%%%%%%%%%%%%%% FINAL CODE %%%%%%%%%%%%%%%
clear all 
ct = 10000;
snrdb = 0:20:100;
rn = [5: 5: 20];
% cm = zeros(1,length(snrdb));
% %%%%% RELAY SELECTION %%%%%%%%%
 
 N = 20; %number of relay nodes
         M = (N-1); %K-1 relays
 for i = 1:length(rn);
     N = rn(i);
     
    snr = 10^(20/10);
     for k = 1:ct
        %Information Forwarding Relay Selection
hsrs = complex(randn(N,2), randn(N,2)); % S— >Inforelays
hsr = abs(hsrs).^2;
[x1,x2] = max(min(hsr));
hrstar = hsr(x2,1);
grstar = hsr(x2,2);
 
%Jamming Relay 1 Selection
jsrs =  complex(randn(N-1,1), randn(N-1,1));  % S— >JammingRelays 
jsr = min(abs(jsrs).^2);
J1star = (jsr);
    
%Jamming Relay 2 Selection
jsrs2 = complex(randn(N-1,2), randn(N-1,2)); % S— >JammingRelay2 
jsr2 = abs(jsrs2).^2;
[x3,x4] = min(max(jsr2));
hJ2star = jsr2(x4,1);
gJ2star = jsr2(x4,2);
%EavesDropper Selection
 
jers =  complex(randn(N,1), randn(N,1));  % S— >JammingRelays 
jsr = min(abs(jers).^2);
JE1star = (jsr);
 
hej2s = complex(randn(N,2), randn(N,2)); % S— >Inforelays
hesr = abs(hsrs).^2;
[x1,x2] = max(min(hsr));
hej2 = hsr(x2,1);
gej2 = hsr(x2,2);
 
hgers = complex(randn(N,2), randn(N,2)); % S— >Inforelays
hgr = abs(hgers).^2;
he = hgr(1);
ge = hgr(2);
 
  %%Outage Probability Calculation 
 
source = ((min(hrstar,grstar))./(J1star)+max(hJ2star,gJ2star));
eaves = 2*(1+((ge+he)./min(JE1star,hej2)));
 
outageprobab =  (eaves-source);
 
  
% SINR Calculation 
part = ((hrstar)+(grstar)+(J1star)+(1/snr));
part1 = ((hrstar)*(J1star))/ (part);
part2 = ((1/snr)*(hrstar))./ (part);
 
SINR = (((hrstar)*(grstar))./part)./((part1)+(part2)+(gJ2star)+(1/snr));
 
capacity(k) = log2(1+SINR); 
     end 
     outageprobabcm(i) = mean(outageprobab);
 end
  plot(rn,outageprobabcm);





I am trying to plot a graph for the outage probability but I dont know how to find the Probability of something like x less than y in Matlab. Please Help me with this.

Note : The outage probability decreases as the number of relay increase.
 
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