Wireless Personal Communications

, Volume 65, Issue 4, pp 833–841 | Cite as

Statistical Simulation Modeling of 3-D HAP-MIMO Channels

  • Emmanouel T. MichailidisEmail author
  • Athanasios G. Kanatas


High altitude platforms (HAPs) have been designated as an alternative wireless infrastructure for facilitating next generation high-speed mobile communications services. This paper deals with the design and performance evaluation of a three-dimensional (3-D) sum-of-sinusoids statistical simulation model for HAP multiple-input–multiple-output Ricean fading channels. The performance of the simulation model is investigated with respect to the temporal and spatial correlation functions. The results indicate that the simulation model accurately and efficiently approximates the statistical properties of a recently proposed non-realizable reference model.


High altitude platforms (HAPs) Multiple-input–multiple-output (MIMO) channels Ricean fading Simulation Sum-of-sinusoids 3-D scattering 


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  1. 1.
    Aragón-Zavala A., Cuevas-Ruíz J. L., Delgado-Penín J. A. (2008) High-altitude platforms for wireless communications (1st ed.). Wiley, New YorkCrossRefGoogle Scholar
  2. 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(3): 311–335CrossRefGoogle Scholar
  3. 3.
    Zajic A. G., Stuber G. (2008) Three-dimensional modeling, simulation, and capacity analysis of space–time correlated mobile-to-mobile channels. IEEE Transactions on Vehicular Technology 57(4): 2042–2054CrossRefGoogle Scholar
  4. 4.
    Leong, S.-Y., Zheng, Y. R., & Xiao, C. (2004). Space–time fading correlation functions of a 3-D MIMO channel model. In Proceedings IEEE wireless communications networking conference (WCNC) 2004 (Vol. 2, pp. 1127–1132), Atlanta.Google Scholar
  5. 5.
    Zajic A. G., Stuber G. (2009) Three-dimensional modeling and simulation of wideband MIMO mobile-to-mobile channels. IEEE Transaction on Wireless Communications 8: 1260–1275CrossRefGoogle Scholar
  6. 6.
    Zajic A. G., Stuber G., Pratt T. G., Nguyen S. (2009) Wideband MIMO mobile-to-mobile channels: Geometry-based statistical modeling with experimental verification. IEEE Transactions on Vehicular Techonology 58: 517–534CrossRefGoogle Scholar
  7. 7.
    Yamada Y., Ebine Y., Nakajima N. (1987) Base station/vehicular antenna design techniques employed in high capacity land mobile communications system. Review of the Electrical Communication Laboratories 35(2): 115–121Google Scholar
  8. 8.
    Kuchar A., Rossi J. P., Bonek E. (2000) Directional macro-cell channel characterization from urban measurements. IEEE Transactions on Antennas and Propagation 48(2): 137–146CrossRefGoogle Scholar
  9. 9.
    Michailidis E. T., Kanatas A. G. (2010) Three-dimensional HAP-MIMO channels: Modeling and analysis of space–time correlation. IEEE Transactions on Vehicular Technology 59(5): 2232–2242CrossRefGoogle Scholar
  10. 10.
    Rice S. O. (1944) Mathematical analysis of random noise. Bell System Technical Journal 23: 282–332MathSciNetzbMATHGoogle Scholar
  11. 11.
    Pätzold M., Killat U., Laue F., Li Y. (1998) On the properties of deterministic simulation models for mobile fading channels. IEEE Transactions on Vehicular Technology 47(1): 254–269CrossRefGoogle Scholar
  12. 12.
    Zheng Y. R., Xiao C. (2003) Simulation models with correct statistical properties for Rayleigh fading channels. IEEE Transactions on Communications 51(6): 920–928CrossRefGoogle Scholar
  13. 13.
    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: 550–560CrossRefGoogle Scholar
  14. 14.
    Mahmoud S. S., Hussain Z. M., O’Shea P. (2002) Space–time model for mobile radio channel with hyperbolically distributed scatterers. IEEE Antennas and Wireless Propagation Letters 1: 211–214CrossRefGoogle Scholar
  15. 15.
    Tzaras C., Evans B. G., Saunders S. R. (1988) Physical-statistical analysis of land mobile-satellite channel. Electronics Letters 34(13): 1355–1357CrossRefGoogle Scholar
  16. 16.
    Mardia K. V., Jupp P. E. (1999) Directional statistics. Wiley, New YorkCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC. 2011

Authors and Affiliations

  • Emmanouel T. Michailidis
    • 1
    Email author
  • Athanasios G. Kanatas
    • 1
  1. 1.Department of Digital SystemsUniversity of PiraeusPiraeusGreece

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