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I am referring a paper "Outage Analysis of Ambient Backscatter Communication Systems" wherein i came across the equation $y_r(n) = \frac{\tilde{h_{sr}}}{\sqrt{d_{sr}^{\alpha}}}+\frac{\tilde{h_{tr}}}{\sqrt{d_{tr}^{\alpha}}} + w(n) $------(1), where $\tilde{h_{sr}}$ and $\tilde{h_{tr}}$ are Gaussian channels between source to reader and tag to reader respectively, $\alpha$ is path loss exponent, $d_{sr}$, $d_{tr}$ is the distance between source to reader and tag to reader respectively.

My query is can we write the equation (1) if we consider other channels such as Nakagami-m, Rayleigh etc.

Any help in this regard is highly appreciated.

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