# Analytical Framework of CP-Free Multiuser OFDM System for Coordinated Multi-Point at mmWave
## 3 Simulation Results
In Figure 10, estimated ergodic achievable rate values are presented in the absence of CoMP-JT-based mmWave signal transmission and show that the estimated average received minimum and maximum ergodic achievable rate values for user 1 through user 4 are 2.7407 bps/Hz and 5.854 bps/Hz, 2.9917 bps/Hz and 6.1404 bps/Hz, 0.7791 bps/Hz and 3.0287 bps/Hz, and 0.5315 bps/Hz and 2.4474 bps/Hz, respectively. Figure 8: BER performance of the considered system with utilization of various channel coding, higher\(-\)order digital modulation, and ZF signal detection techniques for user 4. Figure 9: Estimated average received SINR versus transmitted power in absence of CoMP\(-\)JT\(-\)based mmWave signal transmission. It is noticeable from Figure 11 that under a scenario of identical transmitted power from both BSs, the estimated average received minimum and maximum SINR values for user 1 through user 4 are 8.8834 dB and 18.8834 dB, 8.3532 dB and 18.3532 dB, 7.5883 dB and 17.5883 dB, and \(-\)0.2019 dB and 9.7981 dB, respectively. In Figure 12, estimated ergodic achievable rate values are presented under a scenario of identical transmitted power from both BSs and it shows that the estimated average received minimum and maximum ergodic achievable rate values for user 1 through user 4 are 3.126 bps/Hz and 6.2915 bps/Hz, 2.9716 bps/Hz and 6.1177 bps/Hz, 2.7525 bps/Hz and 5.8676 bps/Hz, and 0.9669 bps/Hz and 3.3986 bps/Hz, respectively. By analyzing estimated values in Figures 9-12, it is quite obvious that the implementation of CoMP-JT-based mmWave signal transmission improves both SINR and ergodic achievable rate. Figure 11: Estimated average received SINR versus transmitted power in presence of CoMP\(-\)JT\(-\)based mmWave signal transmission. Figure 10: Estimated ergodic achievable rate versus transmitted power in absence of CoMP\(-\)JT\(-\)based mmWave signal transmission. Complementary cumulative distribution functions (CCDFs) of PAPR for our proposed system with utilization of higher-order 16-QAM digital modulation are presented in Figures 13 and 14. There is a clear illustration estimating that values of PAPR relative to their respective threshold values are greater in the case of the system without a PAPR reduction scheme using IBO-aided HPA. The probability of the output signals in different channels of BS 1 is \(10^{-4}\) with PAPR greater than the threshold ranges from 12.5 dB to 15 dB. In such a case for \(10^{-1}\) CCDF of PAPR, the output signals of all the channels are found to have almost identical 4 dB PAPR values. It is obvious from Figure 13 that in the case of \(10^{-1}\) CCDF of PAPR with the application of IBO-based HPA, the output signal of the typically assumed first channel has PAPR (greater than the threshold) values of 3.0 dB, 2.2 dB, 1.5 dB, and 0 dB in the cases of 0 dB, 4 dB, 8 dB, and 12 dB IBO values. The probability of the output signals at different channels of BS 2 is \(10^{-4}\) with PAPR greater than the threshold ranges from 12.2 dB to 15.9 dB. In such a case, for \(10^{-1}\) CCDF of PAPR, the output signals of all the channels are found to have almost identical 4 dB PAPR values. It is quite obvious from Figure 14 that in case of \(10^{-1}\) CCDF of PAPR with the application of IBO-based HPA, the output signal of the typically assumed first channel has PAPR (greater than the threshold) values of 2.9 dB, 2.0 dB, 1.5 dB, and 0 dB in the cases of 0 dB, 4 dB, 8 dB, and 12 dB IBO values. Figure 12: Estimated ergodic achievable rate versus transmitted power in presence of CoMP\(-\)JT\(-\)based mmWave signal transmission. Figure 13: CCDFs of PAPR for the considered system with and without the utilization of an IBO\(-\)aided PAPR scheme at BS 1. In Figure 15, the estimated ergodic achievable rate for randomly distributed users over the study area of 2000 m\({}^{2}\) is presented both in a two-dimensional surface and three-dimensional contour plots (Figure 15a,b). The maximum and minimum values of the ergodic achievable rate are found to have values of 5.9635 bps/Hz and 0.1893 bps/Hz, respectively.