## 5 Performance Evaluation and Comparison
### Performance Evaluation
\begin{table}
\begin{tabular}{c c} \hline \hline
**Parameters and Assumptions** & **Value** \\ \hline E-UTRA simulation case1 & 3 GPP case 3 \\ \hline Cellular layout 2 and Inter-site distance (ISD) 1,2,5 & Hexagonal grid, dense urban, 3 sectors per macrocell site and 1732 m \\ \hline Carrier frequency 2,3 and transmit direction & 2 GHz (microwave), 60 GHz (millimeter wave line-of-sight), and downlink \\ \hline System bandwidth & 10 MHz downlink (for both 2 GHz and 60 GHz) \\ \hline Number of cells & 1 macrocell, 2 picocolls, 8 SBSs per building for MNO 1 \\ \hline Total BS transmit power 1 (dBm) & 46 for microcell 1,4, 37 for picocell1,20 (for 2 GHz) and 17.3 (for 60 GHz) for 13.4 \\ \hline Co-channel fading model 1 & Frequency selective Rayleigh for the macrocell and picocells, and Rician for SBSs (for 2 GHz) \\ \hline \multirow{4}{*}{Path loss} & External wall penetration loss 1 (\(L_{\text{low}}\)) & 20 dB \\ \cline{2-3}  & & Indoor macro UE & \(PL(\text{dB})=15.3+37.6\text{log}_{10}R\), \(R\) is in m \\ \cline{2-3}  & & Outdoor macro UE & \(PL(\text{dB})=15.3+37.6\text{log}_{10}R+L_{\text{low}}\). \(R\) is in m \\ \cline{2-3}  & & PBS and a UE 1 & \(PL(\text{dB})=140.7+36.7\text{log}_{10}R\), \(R\) is in km \\ \cline{2-3}  & SBS and a UE 12,3,6 & \(PL(\text{dB})=127+30\text{log}_{10}(R/1000)\), \(R\) in m (for 2 GHz), \\ \cline{2-3}  & UE 12,3,6 & \(PL(\text{dB})=68+21.7\text{log}_{10}(R)\), \(R\) in m (for 60 GHz) \\ \hline \multicolumn{3}{c}{Lognormal shadowing standard deviation (dB)} & 8 for MBS 2, 10 for PBS 1, and 10 (for 2 GHz) \\ \hline Antenna configuration & Single-input single-output for all terrestrial mobile BSs and UEs \\ \hline Antenna pattern (horizontal) & Directional (120\({}^{9}\)) for microcell 1, omnidirectional for picocell 1 and SBS 1 \\ \hline Antenna gain plus connector loss (dB) & 14 for MCBS 2, 5 for PCS 1, 5 (for 2 GHz) and 5 (for 60 GHz, Biconical horn) for FCBS 13,6 \\ \hline UE antenna gain 2,3 & 0 dB (for 2 GHz), 5 dB (for 60 GHz, Biconical horn) \\ \hline UE noise figure 2 and UE speed 1 & 9 dB, 3 km/hr \\ \hline Total number of macro UEs for MNO 1 and Indoor macro UEs 1 & 30 and 35\% \\ \hline Picocell coverage and macro UEs offloaded to all picocolls 1 & 40 m (radius), 2/15 \\ \hline \multirow{4}{*}{3D multi-storage building, and SBS models (regular square-grid)} & Number of floors per building & 2 \\ \cline{2-3}  & Number of apartments per floor & 4 \\ \cline{2-3}  & Number of SBSs per apartment & 1 \\ \cline{2-3}  & SBS activation ratio & 100\% \\ \cline{2-3}  & SBS deployment ratio & 1 \\ \cline{2-3}  & Total number of SBSs per building & 8 \\ \cline{2-3}  & Area of an apartment & \(10\times 10\) m\({}^{2}\) \\ \cline{2-3}  & Location of an SBS in an apartment & center \\ \hline Scheduler and traffic model 2,5 & Proportional Fair (PP) and full buffer \\ \hline Type of SBSs 5 & Closed Subscriber Group femtocell BSs \\ \hline \(\lambda_{\text{MNO,1,SU},\cdot}\lambda_{\text{MNO,1,SU},\cdot}\lambda_{\text{MNO,2,SU},\cdot}\lambda_{\text{SPS}}\) & 8/8, 2/8, 4/8, 2/8 \\ \hline \(T_{\text{APF,DA,AA}},T_{\text{APF,DSP},\text{and}}T_{\text{APF,ISA}}\) & 8 ms, 8 ms, and 8 ms \\ \hline Channel State Information (CSI) & Ideal \\ \hline TTI\({}^{\text{t}}\) and scheduler time constant (\(t_{\text{c}}\)) & 1 ms and 100 ms \\ \hline Total simulation run time & 8 ms \\ \hline Taken 1 from [27], 2 from [28], 3 from [29], 4 from [30], 5 from [26], 6 from [31]. \\ \hline \end{tabular}
\end{table} 
Table 3: Default parameters and assumptions. capacity can be achieved when all TTIs are assigned to small cells. However, since we consider arbitrary rates of UEs for the shared systems into a building, using the condition for optimality of the number of non-ABSs derived in (57)-(59), the optimal number of ABSs is non-zero such that a number of TTIs over an APP are not assigned to small cells. Hence, the performances shown in Figures 9 and 10 are not the best ones.