Type of fading channel

Closed form expression of $\overline{P_D}$

Rayleigh

$\begin{array}{l}\exp \left(-\lambda /2{\sigma }^2\right){\left[1+\eta \right]}^{\left(N/2-1\right)}\left[\exp \left(-\lambda /2{\sigma }^2\left(1+{\eta }^2\right)\right)-{\displaystyle \sum _{k=0}^{N/2-2}\frac{1}{k!}{\left(\lambda /2{\sigma }^2\left(1+{\eta }^2\right)\right)}^k}\right]\\ +\exp \left(-\lambda /2{\sigma }^2\right){\displaystyle \sum _{k=0}^{N/2-2}\frac{1}{k!}{\left(\lambda /2{\sigma }^2\right)}^k}\end{array}$

Rician

$Q\left(\sqrt{2K\overline{\gamma }/K+1+\overline{\gamma }},\sqrt{\lambda \left(1+K\right)/K+1+\overline{\gamma }}\right)$

Nakagami-m

$1-\left(2m/2m+\overline{\gamma }\right)\left\{\overline{\gamma }\left(\lambda /2{\sigma }^2,N/2\right)/\Gamma \left(N/2\right)\right\}$