System Level Modeling and Optimization of the LTE Downlink

More documents

Recommendations

Info

B. Correlation Matrices for Shadow Fading Generationcorrelation matrix R s can be expressed element-wise as()[R s ] i,j= exp −α · [X s ] i,j · d , (B.2)resulting in a correlation matrix R s⎡⎤1 0.7 0.78 0.57 0.57 0.78 0.61 0.49 0.7 0.45 0.57 0.41 0.780.7 1 0.78 0.78 0.78 0.57 0.7 0.7 0.61 0.61 0.57 0.57 0.780.78 0.78 1 0.61 0.7 0.7 0.78 0.57 0.78 0.47 0.7 0.45 0.70.57 0.78 0.61 1 0.7 0.45 0.57 0.78 0.47 0.78 0.45 0.7 0.70.57 0.78 0.7 0.7 1 0.49 0.78 0.78 0.57 0.57 0.61 0.61 0.610.78 0.57 0.7 0.45 0.49 1 0.57 0.41 0.78 0.36 0.61 0.33 0.61R s =0.61 0.7 0.78 0.57 0.78 0.57 1 0.61 0.7 0.45 0.78 0.47 0.57,0.49 0.7 0.57 0.78 0.78 0.41 0.61 1 0.45 0.7 0.47 0.78 0.570.7 0.61 0.78 0.47 0.57 0.78 0.7 0.45 1 0.37 0.78 0.36 0.570.45 0.61 0.47 0.78 0.57 0.36 0.45 0.7 0.37 1 0.36 0.78 0.570.57 0.57 0.7 0.45 0.61 0.61 0.78 0.47 0.78 0.36 1 0.37 0.49⎢⎥⎣0.41 0.57 0.45 0.7 0.61 0.33 0.47 0.78 0.36 0.78 0.37 1 0.49⎦0.78 0.78 0.7 0.7 0.61 0.61 0.57 0.57 0.57 0.57 0.49 0.49 1(B.3)where L s L H s = R s , and ˜L s can be obtained by removing the last row and column ofL s .92
C. Taylor Expansion of the ZF MSEC. Taylor Expansion of the ZF MSE withImperfect Channel KnowledgeThis appendix details the derivation of the MSE expression in Equation (4.15), aswell as a more detailed view of the channel estimation model employed in Section 4.2.It refers to the work in [117] and extends the solutions found in [118, 119, 142, 143]for the case of additional interferers.The estimated channel matrix, denoted as Ĥ, is expressed as the sum of the channelmatrix H and an error matrix E:Ĥ = H + E,(C.1)where the error matrix E is composed of complex-gaussian elements e ij , i.e.,e ij ∼ CN ( 0, σ 2 e). (C.2)Taking into account the precoder matrix W, the effective channel matrix ˜H and theestimated effective channel matrix ˆ˜H are expressed asˆ˜H = HW,ˆ˜H = (H + E) W = HW } {{ } + EW }{{} . (C.3)˜H ẼAs the precoder does not change the overall transmit power when splitting it overthe ν layers,W H W = I νν .(C.4)93
Page 1:
DissertationSystem Level Modeling a
Page 5:
I hereby certify that the work repo
Page 9:
KurzfassungDie vorliegende Arbeit p
Page 13 and 14:
ContentsContents1 Motivation and Sc
Page 15 and 16:
Contentsix
Page 17 and 18:
1. Motivation and Scope of Work1. M
Page 19 and 20:
1. Motivation and Scope of Worklaye
Page 21 and 22:
1. Motivation and Scope of Workperf
Page 23 and 24:
BibliographyThe combined throughput
Page 25 and 26:
2. 3GPP Long Term Evolution2. 3GPP
Page 27 and 28:
2. 3GPP Long Term Evolutionup to 30
Page 29 and 30:
2. 3GPP Long Term EvolutionNAS proc
Page 31 and 32:
2. 3GPP Long Term Evolutionchannel
Page 33 and 34:
2. 3GPP Long Term EvolutionSince th
Page 35 and 36:
2. 3GPP Long Term EvolutionThe chan
Page 37 and 38:
2. 3GPP Long Term EvolutionTable 2.
Page 39 and 40:
3. Physical Layer Modeling and LTE
Page 41 and 42:
Page 43 and 44:
Page 45 and 46:
Page 47 and 48:
Page 49 and 50:
Page 51 and 52:
Page 53 and 54:
Page 55 and 56:
Page 57 and 58: 3. Physical Layer Modeling and LTE
Page 67 and 68: 4. Extensions to the L2S Model4. Ex
Page 69 and 70: 4. Extensions to the L2S Model4.1.2
Page 71 and 72: 4. Extensions to the L2S ModelTo ac
Page 73 and 74: 4. Extensions to the L2S ModelBLER1
Page 75 and 76: 4. Extensions to the L2S ModelThe M
Page 77 and 78: 4. Extensions to the L2S Modelthe a
Page 79 and 80: 4. Extensions to the L2S ModelIn th
Page 81 and 82: 5. Performance Evaluation of Fracti
Page 97 and 98: 6. Summary and Outlook6. Summary an
Page 99 and 100: 6. Summary and Outlook6.2. OutlookW
Page 101 and 102: A. SNR-independence of the CLSM Pre
Page 107: B. Correlation Matrices for Shadow
Page 111 and 112: C. Taylor Expansion of the ZF MSEAp
Page 113 and 114: D. Evaluation of Multi-User GainD.
Page 115 and 116: D. Evaluation of Multi-User GainAvg
Page 117 and 118: Abbreviations and AcronymsAbbreviat
Page 119 and 120: Abbreviations and AcronymsKPILLRL2S
Page 121 and 122: Abbreviations and AcronymsU-PlaneUT
Page 123 and 124: Abbreviations and AcronymsBibliogra
Page 125 and 126: Abbreviations and Acronymsdescripti
Page 127 and 128: Abbreviations and Acronyms[69] Tech
Page 129 and 130: Abbreviations and Acronymsfemto cel
Page 131: Abbreviations and Acronyms[134] Z.
show all

System Level Modeling and Optimization of the LTE Downlink

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?