Skip to main content
SpringerLink
Log in

Angle and Time of Arrival Statistics for a 3-D Pie-Cellular-Cut Scattering Channel Model

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, investigated a 3-D pie-cellular-cut (PCC) scattering channel model for microcell environments, that idealizes the mobile station (MS) located inside of a 3-D scattering semispheroid and base station (BS) employing a directional antenna at the center of the semispheroid. The joint probability density functions (PDFs) and marginal PDFs of Angle of arrival (AOA) and Time of Arrival (TOA) seen at the BS and the MS in correspondence with azimuth and elevation angles are derived. The results show that the proposed 3D scattering channel model performs better compared with previously proposed 2D models for outdoor and indoor environments, which promotes the research of the statistical channel models.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. Ertel, R. B., & Reed, J. H. (1999). Angle and time of arrival statistics for circular and elliptical scattering model[J]. Selected Areas in Communications, IEEE Journal, 17(11), 1829–1840.

    Article  Google Scholar 

  2. Petrus, P., & Reed, J. H. (2002). Geometrical-based statistical macrocell channel model for mobile environment[J]. Communications, IEEE Transactions, 50(3), 495–502.

    Article  Google Scholar 

  3. Jaafar, I., Boujemaa, H. Angle and time of arrival statistics for hollow-disc and elliptical scattering models[C], Proceedings of International Conference on Signals, Circuits and Systems, 2008:1–4.

  4. Zhou, J., & Qiu, L. (2012). Analyses and comparisons of geometrical-based channel model arisen from scatterers on a hollow-disc for outdoor and indoor wireless environments. IET Communications, 6(17), 2775–2786.

  5. Olenko, A. Y., & Wong, K. T. (2005). Analytically derived TOA-DOA distributions of uplink/downlink wireless cellular multipaths arisen from scatteress with an Inverted-Parabolic spatial distribution around the mobile. IEEE Signal Proceedings Letter, 12(7), 516–519.

  6. Janaswamy, R. (2002). Angle and time of arrival statistics for the Gaussian scatter density model. IEEE Transactions on Wireless Communications, 1(3), 488–497.

    Article  Google Scholar 

  7. Khan, N.M., Simsim, M.T.(2006) Modeling spatial aspects of mobile channel for macrocells using Gaussian scattering distribution[C], IEEE Transaction on Wireless Communications :616–620.

  8. Kong, S. H. (2009). TOA and AOD statistics for down link Gaussian scatterer distribution model[J]. IEEE Transactions on Wireless Communication, 8(5), 2609–2617.

    Article  Google Scholar 

  9. Jiang, L., & Tan, S. Y. (2007). Geometrically based statistical channel models for outdoor and indoor propagation environments[J]. Vehicular Technology, IEEE Transactions, 56(6), 3587–3593.

    Article  Google Scholar 

  10. Utschick, G. C. (2013). Large system analysis of sum capacity in the Gaussian MIMO broadcast channel[J]. IEEE Journal on Selected Areas in Communications, 31(2), 149–159.

    Article  Google Scholar 

  11. Xin, Gui, Guixia, Kang, & Ping, Zhang. (2012). Low complexity remote radio unit selection and adaptive bit partition algorithm in cooperative distributed MIMO systems. China Communications, 9(11), 1–8.

    Google Scholar 

  12. Wang, J. L., Pérez-Neira A. I., & Gao, M. G. (2013). A concise joint transmit/receive antenna selection algorithm. China Communications, 10(3), 91–99.

  13. Ze-Song, B. I., Chen, Luo, Cheng-Wen, Geng, et al. (2013). Joint linear processing design for distributed two-way amplify-and-forward MIMO relaying networks. China Communications, 10(7), 126–133.

    Article  Google Scholar 

  14. Zhebin, Zhang, Jian, Zhang, Xuexi, Zhang, et al. (2013). A distributed 2D-to-3D video conversion system. China, Communications, 10(5), 30–38.

    Article  Google Scholar 

  15. Baltzis, K. B., & Sahalos, J. N. (2009). A simple 3-D geometric channel model for macrocell mobile communication. Wireless Personal Communications, 51, 329–347.

    Article  Google Scholar 

  16. Mammasis, K., Stewart, R. W., & Thompson, J. S. (2009). Spatial fading correlation model using mixtures of Von Mises Fisher distributions. IEEE Transactions, Wireless Communications, 8(4), 2046–2055.

    Article  Google Scholar 

  17. Olenko, A. Y., Wong, K. T., & Qasmi, S. (2006). Analytically derived uplink/downlink TOA and 2-D-DOA distributions with scatterers in a 3-D hemispheroid surrounding the mobile. IEEE Transactions, Antennas and Propagation, 54(9), 2446–2454.

    Article  Google Scholar 

  18. Janaswamy, R. (2002). Angle of arrival statistics for a 3-D spheroid model. Vehicular Technology, IEEE Transactions, 51(5), 1242–1247.

    Article  Google Scholar 

  19. Nawaz, S. J., Khan, N. M., Patwary, M. N., et al. (2011). Effect of directional antenna on the Doppler spectrum in 3-D mobile radio propagation environment. Vehicular Technology, IEEE Transactions, 60(7), 2895–2903.

    Article  Google Scholar 

  20. Nawaz, S. J. (2010). A generalized 3-D scattering model for a macrocell environment with a directional antenna at the BS. Vehicular Technology, IEEE Transactions, 59(7), 395–400.

    Google Scholar 

  21. Qu, S. X., & Yeap, T. (1999). A three-dimensional scattering model for fading channels in land mobile environment. IEEE Transactions on Vehicular Technology, 48(3), 765–781.

  22. Qu, S., & Yeap, T. (2009). An analysis of probability distribution of Doppler shift in three-dimensional mobile radio environments. IEEE Transactions, Vehicular Technology, 58(4), 1634–1639.

    Article  Google Scholar 

  23. Alsehaili, M., Noghanian, S., Buchanan D. A & Sebak, A. R. (2010). Angle-of-Arrival statistics of a three dimensional geometrical scattering channel model for indoor and outdoor propagation environments. Antennas and Wireless Propagation Letters, IEEE, 9, 946–949.

Download references

Acknowledgments

The authors would like to thank Professor Fumiyuki Adachi with Department of Electrical and Electronic Engineering, Tohoku University, Japan, for his invaluable help to finish this paper. This work was partially supported by the National Nature Science Foundation of China (No. 61372128); Non-profit Industry Fund by Ministry of Science and Technology of P.R.C (NO. GYHY200906053); Scientific and Technological Support Project (Industry) of Jiangsu Province (No. BE2011195); Project Sponsored by Jiangsu Provincial Research Scheme of Natural Science for Higher Education Institute (No. 08KJB510009); The National overseas study support Foundation Item (No. 20071108); The Six Kinds of Top Talent of Jiangsu Province (No. 2008-118); Jiangsu Postdoctoral Foundation Fund (No. 2011-11-010986678).

Author information

Authors and Affiliations

  1. Department of Electronic and Electrical engineering, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Jiang Hao & Zhou Jie

  2. Department of Electrical and Electronic Engineering, Niigata University, Niigata-city, 950-2181, Japan

    Hisakazu Kikuchi

Authors
  1. Jiang Hao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhou Jie
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hisakazu Kikuchi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhou Jie.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hao, J., Jie, Z. & Kikuchi, H. Angle and Time of Arrival Statistics for a 3-D Pie-Cellular-Cut Scattering Channel Model. Wireless Pers Commun 78, 851–865 (2014). https://doi.org/10.1007/s11277-014-1787-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-014-1787-y

Keywords

Search

Navigation