Table 3 Coefficients of the PDF, the MGF, the BEP, and the P _out for AF sharing scheme

A^(AF)

$\sum _{k=3}^N{c}_k{\lambda }_{\text{eq}}\frac{1}{k-2}$

a^(AF)

$\frac{1}{{\lambda }_{\text{eq}}}\left(\frac{A^{\text{(AF)}}{\lambda }_{\text{SD}}}{-{\lambda }_{\text{eq}}+{\lambda }_{\text{SD}}}-\frac{B^{\text{(AF)}}{\lambda }_{\text{SD}}}{{(-{\lambda }_{\text{eq}}+{\lambda }_{\text{SD}})}^2}\right)$

B^(AF)

$\frac{c_2{\lambda }_{\text{eq}}^2}{2}$

b^(AF)

$\frac{1}{{\lambda }_{\text{eq}}^2}\left(\frac{B^{\text{(AF)}}{\lambda }_{\text{SD}}}{-{\lambda }_{\text{eq}}+{\lambda }_{\text{SD}}}\right)$

$E_k^{\text{(AF)}}$

$-\frac{c_k{\lambda }_{\text{eq}}}{k-2}$

$E_k^{\text{(AF)}}$

$\frac{2}{{\lambda }_{\text{eq}}k}\left(\frac{E_k^{\text{(AF)}}{\lambda }_{\text{SD}}}{-\frac{{\lambda }_{\text{eq}}k}{2}+{\lambda }_{\text{SD}}}\right)$

f^(AF)

$\frac{A^{\text{(AF)}}}{{\lambda }_{\text{eq}}-{\lambda }_{\text{SD}}}+\frac{B^{\text{(AF)}}}{{({\lambda }_{\text{eq}}-{\lambda }_{\text{SD}})}^2}+\sum _{k=3}^N\frac{E_k^{\text{(AF)}}}{\left(\frac{{\lambda }_{\text{eq}}k}{2}-{\lambda }_{\text{SD}}\right)}$