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In the attached figure, $h_{sr},h_{re_i},h_{ru_i}\sim \exp(1)$. How can authors claim that SNR is exponentially distributed with the rate as mentioned? Note that $\Gamma_r,\Gamma_{u_i}, \Gamma_{e_i}$ are SNRs (with noise normalized to 1)

enter image description here

SJa
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  • I dont understand why it is being down-voted and I clearly do not understand the reason behind what author has done and simply ask it on the forum – SJa Oct 05 '18 at 05:40

1 Answers1

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Actually it is a very simple property of exponential distribution i.e. if $X\sim \exp(\lambda)$ with parameter $1/\lambda$, then $cX\sim \exp(\lambda/c)$ with parameter $c/\lambda$.

See for example: https://en.wikipedia.org/wiki/Exponential_distribution#Related_distributions