## Appendix B  
Using the following representation for the \(Q\)-function [45]  
\[Q(x)=0.5\mathrm{erfc}(x\,/\,\sqrt{2}\,) \tag{11}\]  
and taking into consideration (50), and (51), (54) can be written in the following form:  
\[\left\{\begin{array}{c}\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \[\left\{\begin{array}{ll}\frac{1}{\partial(THR_{GD})}\partial[P_{ \sigma}^{GD}(THR_{GD})]\\ \\ =\frac{1}{2\rho^{-1}\sigma_{w}^{2}\sqrt{\pi NM\left(SNR^{2}+4\right)}}\exp\!\left[ -\frac{\left[THR_{GD}-NM\left(2\mu-1\right)E_{s}\sigma_{h}^{2}\right]^{2}}{ \rho^{-2}NM\sigma_{w}^{4}(SNR^{2}+4)}\right]\\ \\ -\frac{1}{4\rho\sigma_{w}^{2}\sqrt{\pi NM}}\exp\!\left[-\frac{THR_{GD}^{2}}{4 \rho^{2}NM\sigma_{w}^{4}}\right]\ =0\ \ ;\  
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