Skip to main content

The Optimal Joint Power Allocation Scheme and Antennas Design in AF MIMO Relay Networks

  • Conference paper
Soft Computing in Information Communication Technology

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 158))

  • 1688 Accesses

Abstract

In this paper, a closed expression of the optimal joint PA is obtained by applying a zero-forcing (ZF) receiver at the destination node to recover the original signal. But the MSE performance of the system would have a great deterioration when applying a ZF receiver at the destination node. The smallest singular value distribution in the theory of matrix analysis is used to explain this MSE deterioration. On this basis, this paper proposes an antennas design at the relay node to eliminate this MSE deterioration. And numerical results show that by applying a ZF receiver at the destination node and the proposed antennas design at the relay node, we not only obtain a closed expression of the optimal joint PA, but also make the MSE performance of the system almost as best as it can be.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Teltar, I.E.: Capacity of multi-antenna Gaussian channels. European Trans. Tel. 10, 585–595 (1999)

    Article  Google Scholar 

  2. Foschini, G.J., Gans, M.J.: On limits of Wireless Communications in a Fading Environment when Using Multiple Antennas. Wireless Personal Communications, 311–335 (1998)

    Google Scholar 

  3. Cover, T.M., Gamal, A.A.E.: Capacity theorems for the relay channel. IEEE Trans. Inf. Theory 25(5), 572–584 (1979)

    Article  MATH  Google Scholar 

  4. Host-Madsen, A., Zhang, J.: Capacity bounds and power allocation for wireless relay channel. IEEE Trans. Inf. Theory 51(6), 2020–2040 (2005)

    Article  MathSciNet  Google Scholar 

  5. Tang, X., Hua, Y.: Optimal design of non-regenerative MIMO wireless relays. IEEE Trans. Wireless Commun. 6(4), 1398–1407 (2007)

    Article  Google Scholar 

  6. Hammerstrom, I., Wittneben, A.: Power allocation for amplify-and-forward MIMO-OFDM relay links. IEEE Trans. Wireless Commun. 6(8), 2798–2802 (2007)

    Article  Google Scholar 

  7. Li, C., et al.: A joint source and relay power allocation scheme for a class of MIMO relay systems. IEEE Trans. on Signal Processing 57(12), 4852–4860 (2009)

    Article  Google Scholar 

  8. Palomar, D.P., Cioffi, J.M., Lagunas, M.A.: Joint Tx-Rx Beamforming Design for Multicarrier MIMO Channels: A Unified Framework for Convex Optimization. IEEE Trans. on Signal Processing 51(9) (2003)

    Google Scholar 

  9. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press (2004)

    Google Scholar 

  10. Alan, E.: Eigenvalues and condition numbers of random matrices. SIAM J. Matrix Anal. Appl. 9(4), 543–560 (1988)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuanfeng Peng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this paper

Cite this paper

Peng, Y., Wang, Y. (2012). The Optimal Joint Power Allocation Scheme and Antennas Design in AF MIMO Relay Networks. In: Luo, J. (eds) Soft Computing in Information Communication Technology. Advances in Intelligent and Soft Computing, vol 158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29148-7_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-29148-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29147-0

  • Online ISBN: 978-3-642-29148-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics