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I have the following expression:

[tex]G^2=\frac{\mathcal{E}_2}{\mathcal{E}_1\,\alpha+\mathcal{N}}[/tex]

where [tex]\alpha[/tex] is an exponentially distributed random variable, and all other variables are constants. The authors said that, this expected value can be written as:

[tex]G^2=\int_0^{\infty}\frac{\mathcal{E}_2}{\mathcal{N}(\gamma+1)}\frac{1}{\overline{\gamma}}\text{e}^{-\gamma/\overline{\gamma}}\,d\gamma[/tex]

Is this right, or there are typos?

Regards

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# Expected Value Evaluation

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