System Level Modeling and Optimization of the LTE Downlink

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A. SNR-independence of the CLSM Precoder Choicerank of four will not be employed in the low-SNR regime, while a rank of three willonly be employed in the SNR range where the deviation is already low. The sameapplies for the 4 × 2 case, thus confirming that a high-rank precoder choice on a lowSNR range, which suffers of model inaccuracy, is a negligible source of error..Hence the conclusion that the optimum precoder can be chosen independently ofthe SNR (i.e., precalculated offline) with no impact in the output of the L2S model.Accepting this negligible deviation in the L2S model allows for a drastic simplificationin runtime complexity, making it possible to substitute complex-valued matrixmultiplications and inverses with scalar products of precomputed fading parameters,as shown in Section 3.1.1.3.90
B. Correlation Matrices for Shadow Fading GenerationB. Correlation Matrices for ShadowFading GenerationThis appendix details the correlation matrix employed for the generation of theshadow fading traces, which is explained in Section 3.1.1.5. The LTE L2S modelpresented in Chapter 3 extends the model in [87] to twelve neighbors, employing thecorrelation matrix detailed below.The distance matrix (in pixels) between the current pixel, denoted as s n , and its 12neighbors s n−1 . . . s n−12 , is depicted in Figure 3.8:⎡ √ √ √ √ √ √ √ √ ⎤0 2 1 5 5 1 2 8 2 10 5 13 1√ √ √ √ √ √ 2 0 1 1 1 5 2 2 2 2 5 5 1√ √ √ √ √ √ 1 1 0 2 2 2 1 5 1 3 2 10 2√ √ √ √ √ √ √ 5 1 2 0 2 10 5 1 3 1 10 2 2√ √ √ √ √ √ 5 1 2 2 0 8 1 1 5 5 2 2 2√ √ √ √ √ √ √ √ 1 5 2 10 8 0 5 13 1 17 2 20 2√ √ √ √ √ √ X s =2 2 1 5 1 5 0 2 2 10 1 3 5√ √ √ √ √ √ √ .8 2 5 1 1 13 2 0 10 2 3 1 5√ √ √ √ √ √ 2 2 1 3 5 1 2 10 0 4 1 17 5√ √ √ √ √ √ √ 10 2 3 1 5 17 10 2 4 0 17 1 5√ √ √ √ √ √ 5 5 2 10 2 2 1 3 1 17 0 4 8⎢√ √ √ √ √ √ √ ⎥⎣ 13 5 10 2 2 20 3 1 17 1 4 0 8 ⎦√ √ √ √ √ √ √ √1 1 2 2 2 2 5 5 5 5 8 8 0(B.1)Assuming α = 1/20, as stated in Section 3.1.1.5, and a pixel resolution d of 5 m, the91
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DissertationSystem Level Modeling a
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I hereby certify that the work repo
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KurzfassungDie vorliegende Arbeit p
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ContentsContents1 Motivation and Sc
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Contentsix
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1. Motivation and Scope of Work1. M
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1. Motivation and Scope of Worklaye
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1. Motivation and Scope of Workperf
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BibliographyThe combined throughput
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2. 3GPP Long Term Evolution2. 3GPP
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2. 3GPP Long Term Evolutionup to 30
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2. 3GPP Long Term EvolutionNAS proc
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2. 3GPP Long Term Evolutionchannel
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2. 3GPP Long Term EvolutionSince th
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2. 3GPP Long Term EvolutionThe chan
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2. 3GPP Long Term EvolutionTable 2.
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3. Physical Layer Modeling and LTE
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System Level Modeling and Optimization of the LTE Downlink

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