## 4 Results and Discussion
The results of the last scenario are presented in Table 5.  
As a conclusion, Table 6 collectively lists the obtained results of the four-scenarios. It views the PAPR and CM reduction for each mapping order of 4-QAM, 16-QAM, 64-QAM, and 256-QAM. It can be observed that the PAPR decreased as the PRV number increased. On the other hand, the CM has the same attitude of the PAPR, but only the 64-QAM mapping does not change. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**4-Phase Rotation Vectors**} & \multicolumn{2}{c}{**6-Phase Rotation Vectors**} & \multicolumn{2}{c}{**8-Phase Rotation Vectors**} \\ \cline{2-7}
**Mapping** & \multicolumn{1}{c}{**PAPR**} & \multicolumn{1}{c}{**CM**} & \multicolumn{1}{c}{**PAPR**} & \multicolumn{1}{c}{**CM**} & \multicolumn{1}{c}{**PAPR**} & \multicolumn{1}{c}{**CM**} \\
**Order** & \multicolumn{1}{c}{**Reduction**} & \multicolumn{1}{c}{**Reduction**} & \multicolumn{1}{c}{**Reduction**} & \multicolumn{1}{c}{**Reduction**} & \multicolumn{1}{c}{**Reduction**} & \multicolumn{1}{c}{**Reduction**} \\  & **in dB** & \multicolumn{1}{c}{**in dB**} & \multicolumn{1}{c}{**in dB**} & \multicolumn{1}{c}{**in dB**} & \multicolumn{1}{c}{**in dB**} & \multicolumn{1}{c}{**in dB**} \\ \hline
4-QAM & 1 & 0.5 & 1 & 0.75 & 1.25 & 0.75 \\
16-QAM & 1.25 & 0.5 & 1.25 & 0.75 & 1.47 & 0.8 \\
64-QAM & 1.25 & 1.2 & 1.3 & 1.2 & 1.5 & 1.2 \\
256-QAM & 1.2 & 0.5 & 1.75 & 0.6 & 1.9 & 0.8 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: PAPR and CM reduction comparisons of the UFMC and SLM-UFMC for 4, 6, and 8-phase rotation. Figure 16: The 256-QAM and 8-PRV results of scenario 4. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & \begin{tabular}{c} **PAPR Before** \\ **Reduction in** \\ **dB** \\ \end{tabular} & \begin{tabular}{c} **CM Before** \\ **Reduction** \\ **in dB** \\ \end{tabular} & \begin{tabular}{c} **PAPR After** \\ **Reduction** \\ **in dB** \\ \end{tabular} & \begin{tabular}{c} **CM After** \\ **Reduction** \\ **in dB** \\ \end{tabular} & \
\begin{tabular}{c} **PAPR** \\ **Reduction** \\ **in dB** \\ \end{tabular} &
\begin{tabular}{c} **CM** \\ **Reduction** \\ **in dB** \\ \end{tabular} \\ \hline
4 & 12.4 & 4 & 11.2 & 3.5 & 1.2 & 0.5 \\
6 & 12.5 & 4 & 10.75 & 3.4 & 1.75 & 0.6 \\
8 & 12.3 & 4.2 & 10.4 & 3.4 & 1.9 & 0.8 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Simulation Results for the fourth scenario (256-QAM), SLM-UFMC, and conventional UFMC. Figure 15: The 256-QAM and 6-PRV results of scenario 4. On the other hand, the number of multiplications and the number of additions depend on the size of the IFFT and the number of candidates utilized to reduce the PAPR/CM values. However, there is a trade-off between the two parameters. In the aforementioned scenarios, the numbers of multiplications operations are 9216, 13824, and 18432, for the CP-OFDM or conventional UFMC, 4-candidates SLM-UFMC, 6-candidates SLM-UFMC, and 8-candidates SLM-UFMC, respectively, as depicted in Table 7. The number of additions is simply divided into the above numbers by factor 2, as stated in Equations (22) and (23). Furthermore, the side information overhead increases with the increase in the number of candidates. According to Equation (24), the bits of side information are two, and three for the 4-candidates and 6-candidates or 8-candidates, respectively. Some applications in the 5G systems cannot be more complex than its standard form, while others may not care about the increased complexity, while the side information may be embedded in the transmitted data or send side information with faded subcarriers, which is out of the scope of this work. The results of Section 4 shows that as the number of PRV increases, the computational complexity increases. Accordingly, in Table 7, it can be observed that there is a trade-off between the computational complexity and the PAPR/CM, in which reducing the PAPR or CM increases the computational complexity. The related work focused on four parameters of 5G networks which are computational complexity, PAPR, BER and side information.