## 5 Our Proposed Novel Resource Allocation Scheme
### Proposed Algorithm
The maximum cooperative point is 3, in this simulation, as is shown in Figure 4, base station 5,6,7 is a group and base stations 2 and 3, and base stations 1 and 4 are the other two groups. Within each group, base stations are connected using the capacity constrained backhaul link. Cooperative delay is set to a uniform distribution of _U_(5,15). Other parameters are listed in the following table. Figure 3: Comparison of different methods. The red curve is our proposed optimal method, the green one is the method using equal backhaul resource allocation and the blue one is the performance of random resource allocation. \[s.t.\sum\limits_{j=1}^{N}\sum\limits_{k=1}^{K}x_{i,j,k}=1,\;\forall i \tag{31}\]0 SINR map without shadowing of our simulated area. No shadowing is considered in this figure, so the received SINR is only depending on the distance to the base station from the user. Sectors are quite clear with 120 degree sector angle. \begin{table}
\begin{tabular}{c c} \hline \hline
**Name** & **Parameter** \\ \hline Cell Layout & 7 Cell/21 Sector \\ Inter Cell Distance & 500 m \\ Transmission Bandwidth & 20 MHz \\ Antenna Configuration & \(2\times 2\) \\ BS TX Power & 6.3 Watt \\ Max Re-transmission time & 4 \\ Carrier Frequency & 2 GHz \\ HARQ Scheme & IR \\ Channel Model & SCME-Urban Micro \\ Pathloss & L = 128.1 + 37.6 \(\times\) log10 (R) \\ Shadowing Std & 4 dB \\ Noise Power & \(-\)107 dBm \\ Service Type & Full Buffer \\ Simulation TTIs & 2000 \\ User Number & 210 total, 30 per Cell \\ UE Speed & 1 m/s \\ CQI measurement & Ideal \\ Adaptive Modulation and & QPSK (R ={1/8, 1/7, 1/6, 1/5, 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, \\ Coding Scheme (AMC) & 3/4, 4/5)) 16 QAM (R = {1/2, 3/5, 2/3, 3/4, 4/5))} \\ Target BLER & 0.1 \\ Cooperative Delay & 5–15 ms \\ CoMP Mode & Joint Processing \\ Backhaul Bandwidth & 20 MHz \\ Max CoMP Point & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Parameters and Assumptions for the Simulation. In Figures 4 and 5 a SINR map of the simulated area is given. We simulate a 7-base stations scenario which is commonly used in LTE-related simulations. Figure 4 is the result of SINR map without shadow fading, the x-axis and the y-axis are the distance in meters, different colors indicate the strength of the received signal. Blue means the received SINR is low and red means the received SINR is high. It is obvious that when the position of a user is close to a base station, the condition of the received signal is perfect and it is suitable for cooperation. When users are located at the edge of the cell, it is difficult to receive satisfactory signals, so the cooperation is not valid at such a position. In Figure 5, shadow fading is considered in the same scenario. Different from the SINR map above, the shadowing map adds the influence of trees, buildings and other sources, which will be the reflectors to the channels. Such scattering will affect the transmission of wireless signals in a line of sight (LOS) scenario, that is why even when a user is close to the base station the performance is poor. In Figure 6, the statistical result of system average throughput for different base stations is given. The x-axis is the index of different base stations and y-axis is the average throughput in Mbps. Different colors indicate different methods. Red color represents the proposed method using our optimal backhaul resource allocation, green represents the method using equal backhaul resource allocation and blue represents the random allocation. It is obvious that for every base station, the proposed optimal backhaul resource allocation method could increase system capacity significantly compared with other two reference methods. The capacity constraint backhaul will limit the performance of joint processing, but a proper resource allocation scheme will make up the influence of limited backhaul, so from base station 1 to 7, our proposed method gain the maximum performance. The equal BH allocation scheme is the second best method, because the equal allocation is a fair method.