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Schur-convexity of the Symbol Error Rate in Correlated MIMO Systems with Precoding and Space-time Coding
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
IEE S.A., Zone Industrielle, 2b, Route de Tr`eves L-2632 Findel, Luxembourg.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Signal Processing. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2008 (English)In: Proceedings of the twentieth Nordic Conference on Radio Science and Communications, 2008Conference paper, Published paper (Other academic)
Abstract [en]

This paper analyzes the symbol error rate (SER) of spatially correlated multiple-input multiple-output (MIMO) systems with linear precoding, space-time block codes, and long-term statistical channel state information at the transmitter. Majorization theory and the notion of Schur-convexity is used to show how the SER depends on the signal-to-noise ratio (SNR), on the transmit and receive correlation, and on the choice of precoder. Depending on these conditions, the Chernoff bound on the SER is shown to be Schur- convex (i.e., increasing with the amount of correlation) with respect to the receive correlation, while it is Schur-convex at high SNR and Schur-concave (i.e., decreasing with increasing amount of correlation) at low SNR with respect to the transmit correlation. These properties are inherited by the exact SER, as shown analytically and illustrated numerically.

Place, publisher, year, edition, pages
2008.
Keyword [en]
symbol error rate (SER), (MIMO) systems, SNR, correlation
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-45081OAI: oai:DiVA.org:kth-45081DiVA: diva2:451750
Conference
RadioVetenskap och Kommunikation (RVK)
Note
QC 20111102Available from: 2011-11-02 Created: 2011-10-26 Last updated: 2012-05-24Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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