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Diversity Order of Spatial Multiplexing with Transmit Antenna Correlation Based Precoding

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Computer Aided Systems Theory - EUROCAST 2009 (EUROCAST 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5717))

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Abstract

Spatial Multiplexing (SM) is an effective means for enhancing the transmission data rate in Multiple-Input Multiple-Output (MIMO) systems, particularly when used in combination with precoding techniques. However, it is not always obvious to connect the performance of such a system to its number of data streams and antennas. In this paper, the diversity order of a SM MIMO system using a Minimum Mean Square Error (MMSE) receiver is analytically calculated when a precoder based on transmit antenna correlation is included at the transmitter. It is shown that it is given by d = N r  − N s  + 1 where N r is the number of receive antennas and N s is the number of data streams. This result is confirmed by simulations. Although enabling a Signal-to-Noise Ratio (SNR) gain, such a precoder is thus not able to improve the diversity order with respect to a non-precoded SM MIMO system.

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References

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Author information

Authors and Affiliations

  1. Embedded Systems and Signal Processing, Klagenfurt University, 9020, Klagenfurt, Austria

    Christian Hofbauer & Mario Huemer

  2. IMEC, Wireless Group, 3001, Leuven, Belgium

    Yann Lebrun, Valéry Ramon & André Bourdoux

  3. ULB, Université Libre de Bruxelles, 1050, Brussels, Belgium

    François Horlin

Authors
  1. Christian Hofbauer
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  2. Yann Lebrun
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  3. Valéry Ramon
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  4. André Bourdoux
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  5. François Horlin
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  6. Mario Huemer
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Editor information

Editors and Affiliations

  1. Instituto Universitario de Ciencias y Tecnologías Cibernéticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas de Gran Canaria, Las Palmas, Spain

    Roberto Moreno-Díaz  & Alexis Quesada-Arencibia  & 

  2. Institute of Systems Science, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040, Linz, Austria

    Franz Pichler

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© 2009 Springer-Verlag Berlin Heidelberg

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Hofbauer, C., Lebrun, Y., Ramon, V., Bourdoux, A., Horlin, F., Huemer, M. (2009). Diversity Order of Spatial Multiplexing with Transmit Antenna Correlation Based Precoding. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_62

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  • DOI: https://doi.org/10.1007/978-3-642-04772-5_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04771-8

  • Online ISBN: 978-3-642-04772-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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