n the previous section. C 2009 by Taylor & Francis Group, LLC Long Term Evolution: 3GPP LTE Radio and Cellular Technology Figure 8.27 Best server and coverage in the Jersey scenario. 0 means that uncov- ered (SINR too low), 1 means that three-hop, 2 means that two-hop, and 3 means that single-hop transmission is better at the current position. In the end, we obtain a coverage map that shows the serving station with which a terminal is best associated (best server) for each point on the map. This can be the BS, if this is the rate-optimal association, but it can also be one of the relays in RN H1 or RN H2 The maximum achievable rate at a certain point is then deter- mined. From these matrix (two-dimensional) results, scalar performance measures are calculated to show that the overall coverage and capacity are increased com- pared to using only one BS. Therefore, we compare the scenarios with (1) one BS only, (2) the BS plus a ring of four RNs in RNHI, and (3) the BS plus a ring of four RNs in RNH plus a second ring of the nine RNs in RNH2. The performance results have been obtained over three different areas. First, the full area was used, including less densely populated parts ("square"). Second, a circular area with a radius of 800 m around the BS was defined, which gives a real- istic cell size ("circle"). Third, the area within a polygon (Figure 8.26) was studied, which is exactly the urban populated area. The analysis has been carried out to generate the two-dimensional data in Figure 8.28 that show the best server (BS = 3; RN H1 = 2; RNH2 = 1, NC = 0) and also indicate the coverage or area not covered (NC). Figure 8.27 shows the SINR of the best server and Figure 8.29 shows the resulting maximum data rate. The © 2009 by Taylor & Francis Group, LLC Multihop Extensions to Cellular Networks Figure 8.28 SINR distribution using all relays in the Jersey scenario. best server has been determined by this maximum data rate that accounted for the overhead on hops one and two. Scalar results were only counted in the po