DISSERTATION Space-Time Block Coding for Multiple Antenna Systems ausgefu¨hrt zum Zwecke der Erlangung des akademischen Grades eines Doktors der technischen Wissenschaften eingereicht an der Technischen Universita¨t Wien Fakulta¨t fu¨r Elektrotechnik und Informationstechnik von Dipl.-Ing. Biljana Badic Wien, November 2005 unterderLeitungvon Univ. Prof. Dr. Johann Weinrichter Institutfu¨rNachrichten- undHochfrequenztechnik TechnischenUniversita¨tWien Fakulta¨tfu¨rElektrotechnik undInformationstechnik Univ. Prof. Dr. Markus Rupp Institutfu¨rNachrichten- undHochfrequenztechnik TechnischenUniversita¨tWien Fakulta¨tfu¨rElektrotechnik undInformationstechnik ”Anyonewhostopslearning isold,whetherattwentyoreighty. Anyonewhokeepslearningstaysyoung. Thegreatestthinginlifeistokeepyourmindyoung.” HenryFord Acknowledgement Itismypleasure tothank the people withwhom Ienjoyed discussing problems and sharing ideas. Iam especiallythankfultoProf. Dr. Weinrichter,forhisvaluablereadingofthethesis,forhavingdiscussions togetherlinebyline,andgivingmeinestimable feedback. I also wish to thank Prof. Dr. Rupp for his encouragement, for reading the thesis and for providing me continuously support formyPhDwork. Iamdeeplythankfultoallmycolleagues whocontributed todifferentsubjects ofthisthesis. And,myfinalthankisformyfamily,theirloveandsupportthrough mywork. i Abstract Thedemandformobilecommunicationsystemswithhighdatarateshasdramaticallyincreasedinrecent years. Newmethods are necessary inorder to satisfy this huge communications demand, exploiting the limitedresourcessuchasbandwidthandpowerasefficientaspossible. MIMOsystemswithmultiplean- tennaelements atbothlinkends areanefficient solution forfuturewireless communications systems as theyprovide highdataratesbyexploiting thespatial domainunder theconstraints oflimited bandwidth and transmit power. Space-Time Block Coding (STBC) is a MIMO transmit strategy which exploits transmitdiversityandhighreliability. STBCscanbedividedintotwomainclasses, namely,Orthogonal Space-Time Block Codes (OSTBCs) and Non-Orthogonal Space-Time Block Codes (NOSTBCs). The Quasi-Orthogonal Space-Time Block Codes (QSTBCs)belong to class of NOSTBCsand have been an intensive area of research. The OSTBCs achieve full diversity with low decoding complexity, but at the price of some loss in data rate. Full data rate is achievable in connection with full diversity only in the case of two transmit antennas in case of complex-valued symbol transmission. For more than two transmit antennas full data rate can be achieved with QSTBCs with a small loss of the diversity gain. However, ithasbeen shown that QSTBCsperform even better than OSTBCsintheSNRrange ofprac- ticalinterest(upto20dB)thatmakesthisclassofSTBCsanattractiveareaofresearch. The main goal of this work is to provide a unified theory of QSTBCs for four transmit antennas and one (or more) receive antennas. The thesis consists of two main parts: In the first part we analyze the QSTBCstransmission without any channel knowledge at the transmitter and in the second part we an- alyze transmission with QSTBCs assuming partial channel state (CSI) information at the transmitter. For both cases, the QSTBCsare studied on spatially correlated and uncorrelated frequency flat MIMO channels applying a Maximum Likelihood receivers as well as a low complexity linear Zero-Forcing receivers. Thespatialcorrelationismodelledbytheso-calledKroneckerModel. Measuredindoorchan- nelsarealsousedinoursimulationstoshowtheperformanceoftheQSTBCsinreal-worldenvironment. In the first part of this thesis we give a consistent definition of QSTBCs for four transmit antennas. We show that different QSTBCs are obtained by linear transformations and that already known codes can be transformed into each other. We show that the (4 1) MIMO channel in the case of applying × quasi-orthogonal codes can be transformed into an equivalent highly structured virtual (4 4) MIMO × channelmatrix. Thestructureoftheequivalentchannelisofvitalimportance fortheperformanceofthe QSTBCs. Weshowthattheoff-diagonal elementsofthevirtualchannelmatrixareresponsible forsome signalself-interference atthereceiver. Theclosertheseoff-diagonal elementsofthevirtualchannelma- trixaretozero, thecloseristhecodetoanorthogonal code. Basedonthisself-interference parameter it canbeshownthatonly12QSTBCtypeswithdifferentperformance exist. In the second part of the thesis we provide two simple methods to improve the QSTBC transmis- sion when partial CSI is available at the transmitter. We propose two novel closed-loop transmission schemes, namely channel adaptive code selection (CACS)and channel adaptive transmit antenna selec- tion(CAAS).ByproperlyutilizationofpartialCSIatthetransmitter,weshowthatQSTBCscanachieve full diversity and nearly strict orthogonality with a small amount of feedback bits returned from the re- ceiver back to the transmitter. CACS is very simple and requires only a small amount of the feedback bits. WithCAASfulldiversityoffourandasmallimprovementoftheoutage capacity canbeachieved. The CAAS increases the channel capacity substantially, but the required number of the feedback bits increases exponentially withthenumberofavailable transmitantennas. iii
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