# Analytical Framework of CP-Free Multiuser OFDM System for Coordinated Multi-Point at mmWave
## 3 Simulation Results
In most parts of the studied area, the estimated average ergodic achievable rate is 3.2652 bps/Hz. Figure 5:0 CCDFs of PAPR for the considered system with and without the utilization of IBO\(-\)aided PAPR scheme at BS 2. Figure 5:1 Estimated ergodic achievable rate under the studied area of 200 m \(\times\) 100 m serving two BSs of identical height at 100 m and transmission power of 5 kW represented by (**a**) a two\(-\)dimensional surface plot and (**b**) a three\(-\)dimensional contour plot. From Figure 16, it is observable that at a comparatively low base station antenna height, the estimated ergodic achievable rate values are increased in comparison with the scenario of base station antenna height. At the central location, 100 m away from the BS1, the estimated ergodic achievable rate with a transmission power of 500 W is found to have values of 0.6572 bps/Hz and 1.6679 bps/Hz in the cases of high and low base station antenna height. On the other hand, with a high transmission power of 5000 W, the estimated values of achievable ergodic are 2.7487 bps/Hz and 3.9008 bps/Hz for high and low base station antenna height. The results in Figure 17 clearly indicate that an acceptable OOB reduction is achieved under 16-QAM higher-order digital modulation, RA channel coding, and CHT schemes. The OOB power reduction of 311.99 dB, 312.40 dB, 312.67 dB, and 312.34 dB are achieved in the cases of user 1, user 2, user 3, and user 4, respectively. From Table 4, it is observable that a significant amount of PAPR reduction occurs with the application of IBO-based HPA. The estimated values of PAPR for different transmitting channels of serving BSs and IBO values under consideration of nonlinear HPA are shown in Figure 5:2 It is quite obvious from the figure that the PAPR performance of the system improves with low values of IBO. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{3}{*}{**Channel No.**} & \multicolumn{6}{c}{**PAPR (dB)**} \\ \cline{2-10}  & \multicolumn{2}{c}{**Without IBO-Based**} & \multicolumn{6}{c}{**With IBO-Based Nonlinear HPA**} \\ \cline{2-10}  & \multicolumn{2}{c}{**Nonlinear HPA**} & \multicolumn{2}{c}{**IBO = 0 dB**} & \multicolumn{2}{c}{**IBO = 4 dB**} & \multicolumn{2}{c}{**IBO = 8 dB**} & \multicolumn{2}{c}{**IBO = 12 dB**} \\ \cline{2-10}  & **BS1** & **BS2** & **BS1** & **BS2** & **BS1** & **BS2** & **BS1** & **BS2** & **BS1** & **BS2** \\ \hline
1 & 14.9615 & 15.4475 & 2.4146 & 2.7576 & 3.3688 & 3.7555 & 5.0963 & 5.4970 & 7.5987 & 7.9265 \\
2 & 15.4939 & 14.9281 & 2.6878 & 2.4148 & 3.7917 & 3.3354 & 5.5533 & 5.0576 & 7.9619 & 7.5681 \\
3 & 16.9305 & 13.8758 & 2.4284 & 2.3654 & 3.3277 & 3.2426 & 5.0412 & 4.9504 & 7.5541 & 7.4802 \\
4 & 16.4629 & 16.6069 & 2.4965 & 2.5274 & 3.4726 & 3.4958 & 5.1989 & 5.2156 & 7.6718 & 7.6822 \\
5 & 14.6254 & 14.7540 & 2.3928 & 2.4854 & 3.2602 & 3.3989 & 4.9559 & 5.0995 & 7.4780 & 7.5866 \\
6 & 14.1714 & 15.5199 & 2.3482 & 2.7256 & 3.2043 & 3.7922 & 4.9051 & 5.5186 & 7.4430 & 7.9174 \\
7 & 13.7479 & 15.3138 & 2.4556 & 2.5457 & 3.3843 & 3.4805 & 5.0993 & 5.1867 & 7.5944 & 7.6599 \\
8 & 14.4934 & 17.4770 & 2.4365 & 2.6761 & 3.3654 & 3.7410 & 5.0850 & 5.4829 & 7.5851 & 7.9025 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Estimated PAPR at different channels of BS. Figure 16: Estimated ergodic achievable rate along a profile of length 200 m connecting the two transmitting BSs of varying antenna height and transmission power. By observing the nature of BER curves shown in Figures 19-22, it can be clearly understood that the implementation of comparatively higher IBO produces an improvement of BER performance.