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Spatial precoder design for space–time coded MIMO systems: based on fixed parameters of MIMO channels

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Abstract

In realistic channel environments the performance of space–time coded multiple-input multiple output (MIMO) systems is significantly reduced due to non-ideal antenna placement and non-isotropic scattering. In this paper, by exploiting the spatial dimension of a MIMO channel we introduce the novel idea of linear spatial precoding (or power-loading) based on fixed and known parameters of MIMO channels to ameliorate the effects of non-ideal antenna placement on the performance of coherent (channel is known at the receiver) and non-coherent (channel is un-known at the receiver) space–time codes. Antenna spacing and antenna placement (geometry) are considered as fixed parameters of MIMO channels, which are readily known at the transmitter. With this design, the precoder is fixed for fixed antenna placement and the transmitter does not require any feedback of channel state information (partial or full) from the receiver. We also derive precoding schemes to exploit non-isotropic scattering distribution parameters of the scattering channel to improve the performance of space–time codes applied on MIMO systems. However, these schemes require the receiver to estimate the non-isotropic parameters and feed them back to the transmitter. Closed form solutions for precoding schemes are presented for systems with up to three receive antennas. A generalized method is proposed for more than three receive antennas.

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References

  1. Telatar, I. E. (1995). Capacity of multi-antenna gaussian channels. Tech. Repo., AT & T Bell Labs

  2. Foschini G.J., Gans M.J. (1998) On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications 6: 311–335

    Article  Google Scholar 

  3. Tarokh V., Seshadri N., Calderbank A.R. (1998) Space-time codes for high data rate wireless communication: performance criterion and code construction. IEEE Transaction Information Theory 44(1): 744–765

    Article  MATH  MathSciNet  Google Scholar 

  4. Alamouti S. (1998) A simple transmit diversity technique for wireless communications. IEEE Transaction, Communication 16(8): 1451–1458

    Google Scholar 

  5. Tarokh V., Jafarkhani H., Calderbank A.R. (1999) Space-time codes from orthogonal designs. IEEE Transaction Information Theory 45(5): 1456–1467

    Article  MATH  MathSciNet  Google Scholar 

  6. Sampath, H., & Paulraj, A. (2001). Linear precoding for space–time coded systems with known fading correlations. In Proceeding of the asilomar conference signals, systems and computers, Pacific Grove, CA, USA, Vol. 1, pp. 246–251.

  7. Giannakis, G. B., & Zhou S. (2000). Optimal transmit-diversity precoders for random fading channels. In Proceedings of GLOBECOM, San Francisco, CA, Vol. 3, pp. 1839–1843.

  8. Zhou, S., & Giannakis, G. B. (2003). Optimal transmitter eigen-beamforming and space–time block coding based on channel correlations. IEEE Transactions Information Theory, 49, (7), 1673–1690. 2003.

    Google Scholar 

  9. Zhao, Y., Adve, R., & Lim, T. J. (2004). Precoding of orthogonal STBC with channel covariance feedback for minimum error probability. In Proceedings of the 15th IEEE International symposium on personal, indoor and mobile radio communications PIMRC’2004, Barcelona, Spain.

  10. Hjørungnes, A., Akhtae, J., & Gesbert, D. (2004). Precoding for space–time block codes in (non-)kronecker correlated MIMO channels. In Proceedings of the 12th European signal processing conference, EUSIPCO’2004, Vienna, Austria, pp. 6–10.

  11. Cai, X., & Giannakis, G. B. (2003). Differential space–time modulation with transmit-beamforming for correlated MIMO fading channels. In Proceedings of the IEEE International Conference on acoustics, speech, and signal processing, 2003 (ICASSP ’03), Hong Kong Vol. 4, pp. IV–25–28.

  12. Nguyen, V. K. (2005). Differential encoding technique for multi-antenna systems with correlated rayleigh fading channels. in Proceedings of the IEEE International conf. on industrial tech., Hong Kong, pp. 1141–1146.

  13. Abhayapala, T. D., Pollock, T. S., & Kennedy, R. A. (2003). Spatial decomposition of MIMO wireless channels. In Proceedings of the 7th international symposium on signal processing and its applications, Paris, France, Vol. 1, pp. 309–312.

  14. Jones, H. M., Kennedy, R. A., & Abhayapala, T. D. (2002). On dimensionality of multipath fields: Spatial extent and richness. In Proceedings of the IEEE Int. conf. acoust., speech, signal processing, ICASSP’2002, Orlando, FL, USA Vol. 3, pp. 2837–2840.

  15. Lamahewa T.A., Simon M.K., Kennedy R.A., Abhayapala T.D. (2005) Performance analysis of space–time codes in realistic propagation environments: A moment generating function-based approach. Journal Of Communication and Networks 7(4): 450–461

    Google Scholar 

  16. Hughes B.L. (2000) Differential space–time modulation. IEEE Transaction Information Theory 46: 2567–2578

    Article  MATH  Google Scholar 

  17. Golub, G. H., & Van Loan, C. F. (1996). Matrix computations, (3rd ed.). The Johns Hopkins Baltimore and London: University Press.

  18. Boyd S., Vandenberghe L. (2004) Convex optimization. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  19. Hochwald B.M., Sweldens W. (2000) Differential unitary space–time modulation. IEEE Transactions on Communication 48(12): 2041–2052

    Article  Google Scholar 

  20. PollockT.S., Abhayapala T.D., Kennedy R.A. (2003) Introducing space into MIMO capacity calculations Journal on Telecommunications Systems (Kluwer Academic Publishers) 24(2): 415–436

    Google Scholar 

  21. Salz J., Winters J.H. (1994) Effect of fading correlation on adaptive arrays in digital mobile radio. IEEE Transactions on Vehicular Technology 42(4): 1049–1057

    Article  Google Scholar 

  22. Lamahewa, T. A., Abhayapala, T. D., & Kennedy, R. A. (2004). Fading resistance of orthogonal space–time block codes under spatial correlation. In Proceedings of the IEEE Workshop on signal processing advances in wireless communications, SPAWC, Lisbon, Portugal, pp. 278–282.

  23. Chen T.A., Fitz M.P., Kuo W.Y., Zoltowski M.D., Grimm J.H. (2000) A spacetime model for frequency nonselective rayleigh fading channels with applications to space–time modems. IEEE Journal on Selected Areas in Communications 18: 1175–1190

    Article  Google Scholar 

  24. Abdi A., Kaveh M. (2002) A space–time correlation model for multielement antenna systems in mobile fading channels. IEEE Journal on Selected Areas in Communications 20: 550–560

    Article  Google Scholar 

  25. Goodman N.R. (1963) Statistical analysis based on a certain multivariate complex gaussian distribution (an introduction). Annals of Mathematical Statistics 34: 152–177

    MathSciNet  Google Scholar 

  26. Korn G.A., Korn T.M. (1968) Mathematical handbook for scientists and engineers. Dover, New York, NY

    Google Scholar 

  27. Anderson B D.O., Moore J.B. (2005) Optimal filtering. Dover Publications, New York

    Google Scholar 

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Authors and Affiliations

  1. Department of Information Engineering, Research School of Information Sciences and Engineering, The Australian National University, Canberra, ACT, 0200, Australia

    Tharaka A. Lamahewa, Rodney A. Kennedy & Thushara D. Abhayapala

  2. School of Engineering and Technology, Deakin University, Geelong, VIC, 3217, Australia

    Van K. Nguyen

Authors
  1. Tharaka A. Lamahewa
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  2. Rodney A. Kennedy
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  3. Thushara D. Abhayapala
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  4. Van K. Nguyen
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Correspondence to Tharaka A. Lamahewa.

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Lamahewa, T.A., Kennedy, R.A., Abhayapala, T.D. et al. Spatial precoder design for space–time coded MIMO systems: based on fixed parameters of MIMO channels. Wireless Pers Commun 43, 777–799 (2007). https://doi.org/10.1007/s11277-007-9281-4

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  • DOI: https://doi.org/10.1007/s11277-007-9281-4

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