System Level Modeling and Optimization of the LTE Downlink

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C. Taylor Expansion of the ZF MSEMSE can be expressed asMSE ZF = E{(˜s − s) (˜s − s) H}≈˜H−10 E {Ẽs0 s H 0++( ) HẼH} ˜H−1 0(−1 ˜H 0 E{ vvH} ˜H−1 0I∑i=0[˜H −10 E {˜Hi s i s H i{−1+ ˜H 0 E −1Ẽ ˜H 0˜H i s i s H i) {H+ ˜H−1 0 E Ẽ˜H H i˜H H i} ( ) H ˜H−1 0 +˜H−10vvH(˜H−1( ) } H ( ) ] H ˜H−1 0 ẼH ˜H−1 00) HẼH} ( ˜H−1 0) H(C.12)ApplyingE { EE H} = σ 2 e N tx I Nrx ,(C.13)and applying from [118]E { EAE H} = Tr (A) σ 2 e I Nrx ,(C.14)the MSE in Equation (C.11) can be expressed as(( (H0MSE ZF = σeσ 2 x 2 0+ σv 2 + σvσ 2 eTr 2 H H ) −1)) ( ) −10 ˜HH 0 ˜H0[ (I∑ σ+ ˜H −12xi0 H i H H i + σ2 (x iσ 2N txi NeTr H i H H (i H0 H H 0txii=1as shown in Section 4.2.)]) −1) ( ) H ˜H−1 0 ,(C.15)96
D. Evaluation of Multi-User GainD. Evaluation of Multi-User GainSection 3.2.1.1 states that the reduction in simulation run time due to the applicationof a L2S model enables the analysis of more complex MU scenarios. One suchscenario is the evaluation of the MU gain of different scheduling strategies to schedulethe UEs in a cell [144]. Without an in-depth analysis such as in Chapter 5, thisappendix presents such an example of MU performance evaluation.Beginning with the SISO case, as an upper performance limit, the best CQI scheduleris employed, which assigns each RB to the UE with the highest reported channelquality. As a lower performance threshold, the round robin scheduler is employed. Inround robin, each UE is assigned the same number of RBs, regardless of the reportedchannel conditions. Next to these, an implementation of proportional fair schedulingfor OFDM [134] is compared. Results over UEs/cell are shown in Figure D.1.Avg. cell throughput [Mbit/s]90807060504030200Throughput 1x15 10 15 20 25 30number of UEs/cellFairness of UE throughput10.90.80.70.60.50.40.30.20.100Fairness 1x15 10 15 20 25 30number of UEs/cellRound Robin Proportional fair Best CQI fitFigure D.1: 1×1 Single transmit antenna transmit mode multi-user gain. Left: throughputresults. Right: fairness results. Vertical lines mark the 95% confidence intervals.97
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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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