MIMO Wireless Networks To my wife, family and friends Bruno Clerckx MIMO Wireless Networks Channels, Techniques and Standards for Multi-Antenna, Multi-User and Multi-Cell Systems Second edition Bruno Clerckx and Claude Oestges AMSTERDAM • BOSTON • HEIDELBERG • LONDON NEW YORK • OXFORD • PARIS • SAN DIEGO SAN FRANCISCO • SINGAPORE • SYDNEY • TOKYO Academic Press is an Imprint of Elsevier Academic Press is an imprint of Elsevier The Boulevard, Langford Lane, Kidlington, Oxford, OX5 1GB 225 Wyman Street, Waltham, MA 02451, USA Second edition 2013 Copyright © 2013 Elsevier Ltd. All Rights Reserved No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. 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British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library Library of Congress Number Cataloging-in-Publication Data A catalog record for this book is available from the Library of Congress ISBN: 978-0-12-385055-3 For information on all Academic Press publications visit our website at store.elsevier.com Printed and bound in the United Kingdom 13 14 15 16 10 9 8 7 6 5 4 3 2 1 List of Figures Figure 1.1 TypicalreceivedsignalstrengthinaRayleighfadingchannel. 5 Figure 1.2 DiversitygaininRayleighfadingchannels. 8 Figure 1.3 DiversityandarraygainsinRayleighfadingchannels. 9 Figure 1.4 PerformanceoftransmitMRCandAlamoutischemeswithtwotransmit antennasini.i.d.Rayleighfadingchannels(forBPSKmodulation). 19 Figure 1.5 PerformanceofdominanteigenmodeandAlamoutitransmissionsina 2×2i.i.d.Rayleighfadingchannel(withQPSKmodulation). 24 Figure 2.1 Atypicalmultipathscenario. 31 Figure 2.2 ExtensionofBello’sfunctionstothespatialandangulardomains. 34 Figure 2.3 TypicalDopplerspectraformobileandfixedscenarios. 39 Figure 2.4 Transmitcorrelationasafunctionofrelativeantennaspacingd /λand t azimuthspread(thelargerκ,thelowerthespread). 48 Figure 2.5 Mutual dipole impedance (real and imaginary parts) as a function of antennaspacingrelativetothewavelength. 52 Figure 2.6 Field-radiation pattern (in magnitude) of the right-hand side antenna forseveralinter-elementspacings. 53 Figure 2.7 Copolar (solid) and cross-polar (dahsed) field-radiation patterns (in magnitude)ofaplanemonopolarantennaat2.4GHz. 55 Figure 3.1 EffectivediversitymeasureinseveralRiceanMIMOchannels. 66 Figure 3.2 PathconfigurationforscenarioA. 67 Figure 3.3 PathconfigurationforscenarioB. 67 Figure 3.4 Correlationmatrixdistancefordifferentscenarios. 68 Figure 3.5 XPDmodeling:separationbetweenspaceandpolarization. 80 Figure 3.6 Effectivediversitymeasureina2×2Kronecker-structuredsystemas afunctionoftransmitandreceivecorrelations. 86 Figure 3.7 Virtualchannelrepresentationofa2×4channel. 87 Figure 3.8 ImagingofthescatteringenvironmentforscenarioAvia(cid:2)v,A(cid:2)(cid:2)v,A (indBscale). 95 Figure 3.9 ImagingofthescatteringenvironmentforscenarioBvia(cid:2)v,B(cid:2)(cid:2)v,B (indBscale). 95 xviii List of Figures Figure 3.10 Mutualinformationvs.SNRfordifferentmodelsintwo8×8scattering scenarios. 98 Figure 4.1 One-ringmodel. 104 Figure 4.2 Two-ringmodel(symmetric). 106 Figure 4.3 Combinedelliptical-ringmodelforthreeellipsesandalocalscatterer ring(thesizeofthediscandthecirclehavebeenincreasedforbetter legibility). 108 Figure 4.4 Channelcorrelations(includingtheKroneckerapproximationofs and 1 s asequaltort)vs.receiveantennaspacingd/λ. 112 2 Figure 4.5 Illustration of exponential decay of mean cluster amplitude and ray amplitudewithinclusters. 114 Figure 4.6 GeneralstructureofCOST273model,withlocal,single-bounceand twinclusters. 119 Figure 4.7 WINNERmodelphilosophy. 120 Figure 4.8 WINNERmodel:segmentsimulation. 121 Figure 4.9 Extendedclustermodelingthedensemultipaths. 122 Figure 4.10 ExampleofacommonclusterinascenariowithoneMTandtwoBSs + [PTH ss]. 123 Figure 4.11 WINNERIImulti-linkmodel. 123 Figure 5.1 Principleofwater-fillingalgorithm. 129 Figure 5.2 Capacityofvariousi.i.d.channelsat20dBSNR. 139 Figure 5.3 Ergodiccapacityofvariousn ×n i.i.d.Rayleighchannelswithfull r t (CSIT)andpartial(CDIT)channelknowledgeatthetransmitter. 141 Figure 5.4 Average mutual information of various correlated channels at 20 dB SNRasafunctionofone/bothcross-channelcorrelation(s). 147 Figure 5.5 Averagemutualinformationofdiagonalchannelsat15dBSNRasa functionofthenumberofantennasateachside. 148 Figure 5.6 Averagemutualinformationoftwofinitescattererchannelsat20dB SNRasafunctionofthenumberofantennasateachside. 150 Figure 5.7 Mutualinformationofvariousstrategiesat0dBSNRasafunctionof thetransmitcorrelation|t|. 152 Figure 5.8 Optimalfractionofpowertononbeamformingmodeasafunctionof |t|andρ forn =2. 153 r Figure 5.9 Mutual information of Ricean 2×2 channels for different K-factors (H˜ =Hw,so K =0correspondstoaRayleighi.i.d.channel). 155 Figure 5.10 MutualinformationofRicean2×2uni-anddual-polarizedchannels. 156 Figure 5.11 Asymptoticdiversity-multiplexingtrade-offg(cid:5)(g ,∞)ini.i.d.Rayleigh d s fadingchannels. 161 List of Figures xix Figure 5.12 OutageprobabilityP (R)asafunctionofthetransmissionrateRfor out bothfixedandvariableratescalingas R =g log (ρ)in2×2MIMO s 2 i.i.d.Rayleighfadingchannels(courtesyofH.Yao[YW03]). 162 Figure 5.13 Diversity-multiplexing trade-off g(cid:5)(g ,ρ) at realistic SNR (5 and 10 d s dB) of a 2×2 MIMO i.i.d. Rayleigh fading channel (courtesy of R. Narasimhan[Nar05]). 167 Figure 5.14 Normalizedmaximumdiversitygaingˆ(cid:5)(0,ρ)/(n n )asafunctionof d t r SNRini.i.d.Rayleighfadingchannels. 168 Figure 5.15 Diversity-multiplexing trade-off g(cid:5)(g ,ρ) at realistic SNR (5 and 10 d s dB)in2×2MIMOtransmitcorrelatedRayleighfadingchannels(cour- tesyofR.Narasimhan[Nar06a]). 169 Figure 5.16 Diversity-multiplexingtrade-offg(cid:5)(g ,ρ)atrealisticSNR(10dB)in d s 2×2MIMOtransmitcorrelatedRayleighandRicean(K =5and10 dB)fadingchannels(courtesyofR.Narasimhan[Nar06a]). 170 Figure 6.1 Generaloverviewofaspace-timeencoderofaMIMOsystem. 174 Figure 6.2 Bit error rate (BER) of Spatial Multiplexing with various receivers (ML, (ordered) ZF SIC, ZF) in i.i.d. slow Rayleigh fading channels withn =2andn =2for4bits/s/Hz. 205 t r Figure 6.3 Block error rate of the Alamouti code in i.i.d. slow Rayleigh fading channelswithn =2inR =2log (M)=4,8,12,16bits/s/Hztrans- r 2 missions using M2-QAM constellations of sizes M = 4,16,64,256 (courtesyofH.Yao[YW03]). 213 Figure 6.4 Bit error rate (BER) of several LDC in i.i.d. slow Rayleigh fading channelswithn =2andn =2for4bits/s/Hz. 217 t r Figure 6.5 Block error rate of the tilted-QAM code in i.i.d. slow Rayleigh fad- ing channels with n = 2 in a R = 2n log (M) = 4,8,...,32- r t 2 bit/s/Hz transmissions using M2-QAM constellations of sizes M = 2,4,8,...,256(courtesyofH.Yao[YW03]). 220 Figure 6.6 Biterrorrate(BER)ofDayalandAlamouticodesini.i.d.slowRayleigh fadingchannelswithn =1andn =2ina4-bit/s/Hztransmission. 221 r r Figure 6.7 Asymptotic diversity-multiplexing trade-off g (g ,∞) achieved by d s severalspace-timecodesina2×2i.i.d.RayleighfadingMIMOchannel. 223 Figure 6.8 Biterrorrate(BER)ofseveralalgebraicspace-timeblockcodesini.i.d. slowRayleighfadingchannelswithn =2andn =2ina4-bit/s/Hz t r transmission. 224 Figure 6.9 Bit error rate (BER) of SM, Dayal and Alamouti codes in i.i.d. slow Rayleighfadingchannelswithn =2,3,4ina4-bit/s/Hztransmission. 225 r Figure 6.10 LabelingoftheQPSKconstellation. 226 Figure 6.11 STTCencoderfortwotransmitantennas. 227 xx List of Figures Figure 6.12 Trellis representation of QPSK 4-state 2 bits/s/Hz space-time trellis codesfortwotransmitantennas:(a)“TSC”code(delay-diversitycode) [Wit93,SW94,TSC98]; (b) “BBH” code [BBH00]; (c) “CYV” code [CYV01];(d)“FVY”code[FVY01]. 228 Figure 6.13 TrellisrepresentationofaQPSK8-state2-transmitantennaspace-time trelliscodewhosegeneratormatrixisgivenby(6.201). 229 Figure 6.14 Frameerrorrateofseveral4-stateSTTCini.i.d.slowRayleighfading channelswithn =2andn =2,4. 233 t r Figure 6.15 Frameerrorrateof4-stateand8-state“CYV”and“TSC”codesini.i.d. slowRayleighfadingchannelswithn =2andn =4. 234 t r Figure 6.16 Frameerrorrateofseveral4-stateSTTCini.i.d.fastfadingchannels withn =2andn =1. 235 t r Figure 7.1 Biterrorrate(BER)ofSpatialMultiplexingwiththreereceiversini.i.d. Rayleighslowfadingchannelswithn =n =4andQPSK. 242 t r Figure 7.2 (a)Thesphereiscenteredatthereceivedvectorandcontainsthelattice pointstobeenumerated.(b)Thesphereistransformedintoanellipsoid intheT coordinatesystem. 245 Figure 7.3 Illustrationofspheredecodingtree. 247 Figure 7.4 Illustrationofbreadth-firstsearchtreefor K =1. 251 Figure 7.5 Principleofslowestdescentdetection:theellipsoidsrepresenttheequi- probable regions of logp(y|s), and e is chosen as the direction of SD slowestdecent. 254 Figure 7.6 BERperformanceofslowestdescentdetectionini.i.d.Rayleighslow fadingchannelswithn =n =4andQPSK. 256 t r Figure 7.7 BICMiterativereceiver. 258 Figure 7.8 Kalmanfilter-basedestimationcombinedwithMMSE-DFEreceiver. 261 Figure 8.1 Visualizationoftheimpactofthescatteringrichnessandinter-element spacingonMIMOsystemperformance. 266 Figure 8.2 G (θ |c ) (θ varying over 360◦) for the four possible phase shifts t t k t betweentwotransmittedQPSKsymbolsandMTinterelementspacing d /λ=0.1. 268 t Figure 8.3 G (θ |c ) (θ varying over 360◦) for the four possible phase shifts t t k t betweentwotransmittedQPSKsymbolsandMTinterelementspacing d /λ=0.5. 269 t Figure 8.4 Symbolerrorrateasafunctionofthephaseshift(inradians)between thetransmittedQPSKsymbols. 270 Figure 8.5 Performance of full rank LDCs in i.i.d. and correlated channels with n =2andn =2. 280 t r Figure 8.6 Performance of rank-deficient LDCs in i.i.d. and spatially correlated channelswithn =2andn =2. 288 t r List of Figures xxi Figure 8.7 PerformanceofSTTCsini.i.d.andspatiallycorrelatedchannelswith n =2andn =4. 290 t r Figure 8.8 Performance ofSTTCsini.i.d.andspatiallycorrelatedfastRayleigh fadingchannelswithn =2andn =1. 291 t r Figure 8.9 Performanceofrank-deficientSpatialMultiplexingschemeson2×2 Riceanfadingchannelswith K =4and K =10. 292 Figure 8.10 Performanceofapproximatelyuniversalcodeson2×2Riceanfading channelswith K =4and K =10. 293 Figure 9.1 Repetitioncodingfor L =2withrate R =4bits/s/Hz. 302 Figure 9.2 Permutationcodingfor L =2withrate R =4bits/s/Hz. 302 Figure 9.3 MutualcouplingeffectsontheG (θ |C,a (θ ))ofaSMschemewith sum t t t QPSK. 312 Figure 9.4 MutualcouplingeffectsontheSERofaSMschemewithQPSK. 313 Figure 9.5 G (θ |C,a (θ ))ofseveralSMschemesasafunctionoftheangleof sum t t t departureθ [rad]. 321 t Figure 9.6 SERasafunctionofthephaseoft for|t| = 0.95(up)andSERasa functionof|t|withthephaseoftequalto0(down). 322 Figure 9.7 Biterrorrateofseveral2×2SMschemesini.i.d.andspatiallycorre- latedRayleighfadingchannels(withtwoantennaorientationsθ = 0 t andθ =0.63). 323 t Figure 9.8 G (θ |C,a (θ ))ofseveralLDCasafunctionoftheangleofdepar- sum t t t tureθ [rad]. 324 t Figure 9.9 G (θ |C,a (θ ))ofseveralLDCsasafunctionoftheangleofdepar- sum t t t tureθ [rad]. 325 t Figure 9.10 G (θ |C,a (θ ))ofseveralfull-ratealgebraiccodesasafunctionof sum t t t theangleofdepartureθ [rad]. 326 t Figure 9.11 G (θ |C,a (θ ))ofseveral4-and8-stateSTTCsasafunctionofthe sum t t t angleofdepartureθ . 327 t Figure 9.12 Frameerrorrateofseveral4-stateSTTCsini.i.d.andspatiallycorre- latedRayleighfadingchannelswithn =2andn =4. 328 t r Figure 9.13 Frameerrorrateofseveral8-stateSTTCsini.i.d.andspatiallycorre- latedRayleighfadingchannelswithn =2andn =4. 329 t r Figure 9.14 G (θ |C,a (θ ))ofseveral4-stateSTTCsasafunctionoftheangle sum t t t ofdepartureθ . 331 t Figure 9.15 G (θ |C,a (θ )) of several 4-states STTCs as a function of the product t t t angleofdepartureθ . 332 t Figure 9.16 Frameerrorrateofseveral4-statesSTTCsini.i.d.andspatiallycorre- latedRayleighfastfadingchannelswithn =2andn =1. 333 t r xxii List of Figures (cid:5)(cid:5) Figure 10.1 OverviewofprecoderP:Wactsasamulti-modebeamformer,C is thecodewordbeingshapedbyS1/2. 337 Figure 10.2 PerformanceofatransmitcorrelationbasedprecodedAlamoutischeme in2×2transmitcorrelated(t =0.7)Rayleighchannels. 343 Figure 10.3 PerformanceofatransmitcorrelationbasedprecodedAlamoutischeme in2×2transmitcorrelated(t =0.95)Rayleighchannels. 344 Figure 10.4 Performanceofa4-stateSTTC“CYV”inacorrelatedRayleighfading channel (n = n = 2, n = 4), with a high transmit correlation e t r usingtwoprecodingschemes:UE˜· =Int andE˜· =argminE˜(cid:6)=0det(E˜) (proposedin[SP02]). 350 Figure 10.5 Bit error rate of Spatial Multiplexing as a function of the transmit correlationcoefficientt in2×2correlatedMIMOchannelswithand withoutprecoding(SNR=15dB). 356 Figure 10.6 BiterrorrateofSpatialMultiplexingincorrelatedchannelswithand without precoding: precoders I, II and III exploit the knowledge of t, while the robust precoder has been designed following the G sum criterioninChapter9. 357 Figure 10.7 IllustrationofGrassmannian,adaptiveanddifferentialcodebooks. 362 Figure 10.8 Symbolerrorrate(SER)ofa3×3MIMOsystemusing2-bitand6-bit quantized BPSK-based dominant eigenmode transmissions (courtesy ofD.Love[LHS03]). 365 Figure 10.9 Symbol error rate (SER) of a 8×1 MISO system using 6-bit quan- tizedi.i.d.androtateddominanteigenmodetransmissionsinspatially correlatedRayleighchannels(courtesyofD.Love[LH06]). 368 Figure 10.10 Normalized average distortion (SNR loss) df,n as a function of the codebooksizen =2B andthetransmitcorrelationcoefficientt with p n =4. 370 t Figure 10.11 Symbolerrorrate(SER)of3-bitand6-bitprecodedAlamoutischemes in2×4i.i.d.Rayleighfadingchannels(courtesyofD.Love[LH05a]). 378 Figure 10.12 Symbolvectorerrorrate(SVER)ofa6-bitprecodedBPSK-basedSM scheme in i.i.d. Rayleigh fading channels with n = 4 and n = 2 t r (courtesyofD.Love[LH05b]). 381 Figure 11.1 OFDMmodulatoranddemodulator. 386 Figure 11.2 BlockdiagramofaMIMO-OFDMsystem. 389 Figure 11.3 FER of the 16-state “FVY” code for L = 2, 3 and 4 in uniformly distributedi.i.d.Rayleighchannelswithandwithoutinterleaver. 406 Figure 11.4 CyclicdelaydiversityinMIMO-OFDM. 409 Figure 12.1 MIMOBroadcastChannel(BC)andMultipleAccessChannel(MAC). 420