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On the relation of OSTBC and code rate one QSTBC: Average rate, BER, and coding gain
Information Systems Laboratory, Stanford University, USA.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
Fraunhofer-Institute for Telecommunications, 10587 Berlin, Germany .
Information Systems Laboratory, Stanford University, CA 94305 USA.
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2008 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 56, no 10, 4879-4891 p.Article in journal (Refereed) Published
Abstract [en]

Recently, the statistical properties of the equivalent channel representation of a multiple-input-multiple output (MIMO) system employing code rate one quasi-orthogonal space-time block codes (QSTBC), which are constructed by using orthogonal space-time block codes (OSTBC) as building elements, was characterized. Based on these characterizations we analyze the average rate (or mean mutual information), the bit-error-rate performance, and the coding gain achieved with QSTBC for any number of receive and n(T) = 2(n), n >= 2 transmit antennas. First, we study constellation rotation using a systematic approach in order to maximize the coding gain and to achieve full diversity QSTBC. Moreover, we present an upper bound on the coding gain. We derive a lower and upper bound on the BER-performance for QSTBC. Furthermore, we analyze the average rate achievable with QSTBC in case of an uninformed transmitter and also the case, in which the transmitter knows the mean channel matrix whereas the receiver has perfect CSI. Along with the analysis, we compare all the results of these performance measures with the results achieved with OSTBC, revealing important connections between OSTBC and QSTBC. For example, the coding gain of a QSTBC is upper bounded by the coding gain of the underlying OSTBC. Also, the BER of a QSTBC for n(T),T transmit and n(R) receive antennas is tightly lower bounded by the BER of a full-diversity providing intersymbol-interference free system. In addition to that, we show that gains in terms of average rate by using a QSTBC (and, thus, with higher n(T)) instead of the underlying OSTBC are only attainable, if the available channel state information at the transmitter (CSIT) is utilized. Finally, we illustrate our theoretical results using numerical simulations.

Place, publisher, year, edition, pages
2008. Vol. 56, no 10, 4879-4891 p.
Keyword [en]
framework, multiple-input multiple-output (MIMO), orthogonal, quasi-orthogonal, space-time codes
National Category
Telecommunications Signal Processing
URN: urn:nbn:se:kth:diva-38066DOI: 10.1109/TSP.2008.923202ISI: 000259407300028ScopusID: 2-s2.0-53149110467OAI: diva2:436280
7th IEEE Workshop on Signal Processing Advances in Wireless Communications Location: Cannes, FRANCE Date: JUL 02-05, 2006Available from: 2011-08-23 Created: 2011-08-22 Last updated: 2012-05-24Bibliographically approved

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Jorswieck, Eduard A.
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