## 6 Experimental Results and Discussion
### Complexity and Comparative Discussion
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**RN Protocols** & **Products** & **Summations** & **Flops** \\ \hline A\&F & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{R}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}\)T & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{R}}\mathrm{T}(\mathrm{N}_{\mathrm{R}}^{\mathrm{R }}-1)\) & \(2\mathrm{N}_{\mathrm{T}}^{\mathrm{R}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}- \mathrm{N}_{\mathrm{T}}^{\mathrm{R}}\mathrm{T}\) \\  & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \lambda\alpha(\pm 1)}{2}+20\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\lambda-1)(\pm 1)}{2}+74\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\pm 1)}{2}(2\lambda-1)\) \\ A\&F-ZF & \(+\frac{7\mathrm{T}^{3}+37^{2}-41}{6}]+\mathrm{N}_{\mathrm{T}}^{\mathrm{R}} \mathrm{N}_{\mathrm{R}}^{\mathrm{R}}\mathrm{T}\) & \(+\frac{7\mathrm{T}^{3}+9\mathrm{T}^{2}+27}{6}]+\mathrm{N}_{\mathrm{T}}^{\mathrm{ R}}(\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}-1)\) & \(+94\mu+\frac{7\mathrm{T}^{3}+67^{2}-1}{3}\) \\  & \(+2\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[ \frac{\alpha(\pm 1)}{2}+20\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\lambda-1)(\pm 1)}{2}+74\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\pm 1)}{2}(2\lambda-1)\) \\ A\&F-MMSE & \(+\frac{7\mathrm{T}^{3}+9\mathrm{T}^{2}-41}{6}]+\mathrm{N}_{\mathrm{T}}^{\mathrm{ R}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}\mathrm{T}\) & \(+\frac{7\mathrm{T}^{3}+15\mathrm{T}^{2}+27}{6}]+\mathrm{N}_{\mathrm{T}}^{\mathrm{ R}}(\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}-1)\) & \(+94\mu+\frac{7\mathrm{T}^{3}+127^{2}-1}{3}\) \\  & \(+2\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[ \frac{\alpha(\pm 1)}{2}+20\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\pm 1)(\pm 1)}{2}+74\mu\) & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}[\frac{ \alpha(\pm 1)}{2}(2\lambda-1)\) \\  & \(+\frac{7\mathrm{T}^{3}+9\mathrm{T}^{2}-41}{6}]\) & \(+\frac{7\mathrm{T}^{3}+15\mathrm{T}^{2}+27}{6}]\) & \(+94\mu+\frac{7\mathrm{T}^{3}+127^{2}-1}{3}\) \\ D\&F & \(+T[\mathrm{N}_{\mathrm{S}}\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}+\mathrm{N}_{ \mathrm{T}}^{\mathrm{R}}(\mathrm{N}_{\mathrm{S}}+\mathrm{N}_{\mathrm{R}}^{ \mathrm{R}})]\) & \(+T[\mathrm{N}_{\mathrm{S}}(\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}-1)+\mathrm{T}[ \mathrm{N}_{\mathrm{S}}(2\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}+2\mathrm{N}_{ \mathrm{T}}^{\mathrm{R}}-1)\) \\  & \(\mathrm{N}_{\mathrm{T}}^{\mathrm{R}}(\mathrm{N}_{\mathrm{S}}+\mathrm{N}_{ \mathrm{R}}^{\mathrm{R}}-2)]\) & \(+\mathrm{N}_{\mathrm{R}}^{\mathrm{R}}(\mathrm{N}_{\mathrm{R}}^{\mathrm{T}}+1)-2 \mathrm{N}_{\mathrm{T}}^{\mathrm{R}}\mathrm{]}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Arithmetic operations required by Relay Node Protocols. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Parameters** & **[**11**]** & **[**16**]** & **[**38**]** & **Proposed** \\ \hline Signal Model & Conventional & Conventional & Conventional & LTE \\ A\&F RN & Yes & Yes & No & Yes \\ A\&F-ZF RN & No & No & No & Yes \\ A&F-MMSE RN & No & No & No & Yes \\ D\&F RN & No & Yes & Yes & Yes \\ Flexibility & Yes & Yes & Yes & Yes \\ Hardware & USRP & FPGA & USRP & USRP \\ Software & Labview & - & GNU & Matlab \\ Modulation Scheme & 8-PSK & Q-PSK & G-MSK & 64-QAM \\ Protocol Comparison & No & Yes & No & Yes \\ \hline \hline \end{tabular}
\end{table} 
Table 3: A comparison survey with previous works. several hardware implementation of the relaying protocols, which in the literature, a deep comparative study has not been taken into account.