## 2 System Model and Design Objective
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Name** & **Description** & **Default value** \\ \hline \(\eta_{Total/CPICH}\) & Total transmit power to CPICH power ratio. & 10 dB \\ \(F_{load}\) & Average load of the MNBs surrounding the HNB. & - \\ \(F_{Margin}\) & Fading margin. & - \\ \(I_{HNB}\) & Interference measured at the HNB. & - \\ \(I_{HNB,estimated}\) & Estimated interference measured at the HNB. & - \\ iF & Other macrocell to own macrocell interference ratio. & - \\ \(L_{p}\) & External wall penetration loss. & 20 dB \\ \(NR_{HUE}\) & Allowed noise rise contribution from HUEs. & - \\ \(NR_{macro}\) & Noise rise at the MNB. & - \\ \(NR_{MNB-HUE}\) & Noise rise at the MNB caused by HUEs in HNB under test. & - \\ \(P_{common-CH}\) & Transmit power of the common channel. & - \\ \(P^{opt}_{CPICH}\) & HNB optimal P-CPICH transmit power. & - \\ \(P_{CPICH,macro}\) & Common pilot channel transmit power of the MNBs. & 33 dBm \\ \(P^{RX}_{HNB-tother}\) & Total received power at HNB from MUEs in the non-overlapping macrocells. & - \\ \(P_{HNB-MATX}\) & Maximum HNB transmission power. & - \\ \(P^{RX}_{HNB-MUE}\) & Received power at HNB from virtual MUE in the overlapping macrocell. & - \\ \(P^{RX}_{HNB-Total}\) & Total received power at HNB. & - \\ \(P^{opt}_{HSDSCH}\) & HNB optimal HS-DSCH transmit power. & - \\ \(P^{TX}_{HUE}\) & Transmission power of the HUEs. & - \\ \(P_{HUE\max}\) & Maximum available HUE transmission power. & 23 dBm \\ \(P^{RX}_{HNB-HUE}\) & Received power at MNB from HUE. & - \\ \(P^{RX}_{HNB-MUE}\) & Received power at MNB from MUE. & - \\ \(P^{TX}_{HUE}\) & Transmission power of the MUEs. & - \\ \(P_{Noise}\) & Thermal noise power measured at the MNBs & \(-\)102.7 dBm \\ \(PL_{femto}\) & Desired femtocell coverage range. Design parameter. & 56 dB or 62 dB \\ \(PL_{HUE-MNB}\) & Path loss between MUE and MNB. & - \\ \(\mathrm{ReqThp}_{DL}\) & Required HUE downlink throughput. Design parameter. & 256 kbps or 1 Mbps \\ \(\mathrm{ReqThp}_{UL}\) & Required HUE uplink throughput. Design parameter. & 256 kbps \\ \(RSCP^{macro}_{CPICH}\) & Strongest co-channel macro RSCP measured at the HNB. & - \\ \(SF\) & HS-DSCH spreading factor. & 16 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: List of used notation in the derivation of the proposed algorithm. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Deployment goal** & **Access** & \(PL_{femto}\) & \(\mathrm{ReqThp}_{DL}\) & \(\mathrm{ReqThp}_{UL}\) \\ \hline Rural voice service (safety) & OSG & Infinite & Mainly voice, e.g., 256 kbps & Mainly voice, e.g., 256 kbps \\ \hline \multirow{2}{*}{Rural voice service (safety)} & \multirow{2}{*}{CSG} & According to SLA, building/area & \multirow{2}{*}{Mainly voice, e.g., 256 kbps} & Mainly voice, e.g., 256 kbps \\  & & know-how & & \\ \hline Urban voice service & CSG & According to SLA, building know-how & Mainly voice, e.g., 256 kbps & Mainly voice, e.g., 256 kbps \\ \hline \multirow{2}{*}{Data service} & \multirow{2}{*}{CSG} & \multirow{2}{*}{According to SLA, building know-how} & \multirow{2}{*}{According to SLA,} & According to SLA, \\  & & & e.g., 1 Mbps & e.g., 512 kbps \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Hypothetical deployment scenarios and how they are controlled by algorithm parameters.