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how to implement Rayleigh fading channel using probability density function fading

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hamed8463

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Hi .
I'm simulated parts of paper called "Robust energy detection in cognitive radio " .
but i have problem in implemented energy detection on Rayleigh fading channel . especially on modelling Rayleigh fading channel .
because in this paper i should using probability density function of distribution Rayleigh fading to model .
I should pass the signal through to fading channel .
Distribution of Rayleigh fading as the paper said is :
Untitled.jpg
where etha_bar is the average SNR and etha denote the SNR level at the secondary detector .
finally i want to plot probability of detection against SNR .
what should i do ?
Does anybody have the codes or example .
 

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