System Level Modeling and Optimization of the LTE Downlink
System Level Modeling and Optimization of the LTE Downlink
System Level Modeling and Optimization of the LTE Downlink
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4. Extensions to <strong>the</strong> L2S ModelIn this case, <strong>and</strong> as opposed to <strong>the</strong> results in Figure 4.8, σ 2 e is is also influenced by<strong>the</strong> interfering cells, such that σe 2 = ce σn 2 + ∑ N inti=1 σ2 x i). Thus, more realisticallymodeling <strong>the</strong> distribution <strong>of</strong> σe 2 to that <strong>of</strong> a cellular network layout.σ 2 x 0(The results depicted on Figure 4.10 show <strong>the</strong> ecdf <strong>of</strong> <strong>the</strong> achievable rate empiricalover <strong>the</strong> cell area depicted in Figure 4.9. Results are shown for <strong>the</strong> 2×2 (left)<strong>and</strong> 4×4 (right) antenna configurations <strong>and</strong> for each case for all <strong>of</strong> <strong>the</strong> layer (RI)possibilities.Since <strong>the</strong> model is based on a Taylor approximation at E = 0, it is expected tobe less accurate <strong>the</strong> higher σe 2 is, as visible in Figure 4.10, where, specially for <strong>the</strong>four-layer 4×4 case, <strong>the</strong> model is pessimistic compared to <strong>the</strong> expected result dueto <strong>the</strong> application <strong>of</strong> <strong>the</strong> Taylor approximation, although still retaining a good level<strong>of</strong> accuracy.63