Skip to main content
SpringerLink
Log in

Secured Performance Analysis of Double Scattering MIMO Network

  • Published:
International Journal of Wireless Information Networks Aims and scope Submit manuscript

Abstract

In this paper, a practical scenario of multicasting through heterogeneous cellular network has been considered. The macro base station of macro cell transmits confidential information to its intended multicast macro users and multiple eavesdroppers try to decode this information and pico base station of pico cell transmits confidential information to its intended multicast pico users. Authors are interested to develop a mathematical model consists of the closed-form analytical expression for the secrecy multicast capacity (SMC) to protect that confidential information from eavesdropping. The results show that the simultaneous effects of double scatterer and correlation significantly reduce the security in multicasting but these reduction in the security can be compensated by antenna diversity at the multicast users. The results also show the effect of double scatterer on different correlation scenario (Constant Correlation and Jakes Correlation) in terms of the correlation figures of transmit, receive and scatterer correlation matrices.

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
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. D.-S. Shiu, G. J. Foschini, M. J. Gans, and J. M. Kahn, Fading correlation and its effect on the capacity of multi-element antenna systems, IEEE Transaction on Communication, Vol. 88, pp. 502–512, 2000.

    Article  Google Scholar 

  2. H. Q. Ngo, and E. G. Larsson, No downlink pilots are needed in TDD Massive MIMO, IEEE Transactions on Wireless Communications, Vol. 16, No. 5, pp. 2921–2935, 2017.

    Article  Google Scholar 

  3. J. Hoydis, R. Couillet, and M. Debbah (2011). Asymptotic analysis of double-scattering channels. in Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR) 06-09 November 2011.

  4. S. Yang, and J.-C. Belfiore, Diversity-Multiplexing Tradeoff of Double Scattering MIMO Channels, IEEE Transactions on Information Theory, Vol. 57, No. 4, pp. 2027–2034, 2011.

    Article  MathSciNet  Google Scholar 

  5. T. Van Chien, E. Björnson, and E. G. Larsson, Multi-Cell Massive MIMO Performance with Double Scattering Channels. in the proceeding of IEEE 21st International Workshop on Computer Aided Modelling and Design of Communication Links and Networks (CAMAD), 23-25 October 2016, 2027–2034, (2016).

  6. J. Ye, Q.-U.-A. Nadeem, A. Kammoun, and M.-S. Alouini, Asymptotic Analysis of MRT Over Double Scattering Channels With MMSE Estimation, IEEE Transactions on Wireless Communications, Vol. 19, No. 12, pp. 7851–7863, 2020.

    Article  Google Scholar 

  7. T. Van Chien, H. Q. Ngo, S. Chatzinotas, B. Ottersten, and M. Debbah, Massive MIMO under Double Scattering Channels: Power Minimization and Congestion Controls. in the proceeding of IEEE International Conference on Communications (ICC), 14-23 June 2021, (2021).

  8. D. Gesbert, H. Bölcskei, D. A. Gore, and A. J. Paulraj, Outdoor MIMO wireless channels: Models and performance prediction, IEEE Transaction on Communication, Vol. 50, No. 12, pp. 1926–1934, 2002.

    Article  Google Scholar 

  9. T. Van Chien, and H. Q. Ngo, Symeon Chatzinotas, Bjorn Ottersten and Merouane Debbah, Uplink Power Control in Massive MIMO with Double Scattering Channels, IEEE Transactions on Wireless Communications, Vol. 21, No. 3, pp. 1989–2005, 2022.

    Article  Google Scholar 

  10. H. Shin, and J. H. Lee, Capacity of Multiple-Antenna Fading Channels: Spatial Fading Correlation, Double Scattering, and Keyhole, IEEE Transactions on Information Theory, Vol. 49, No. 10, pp. 2636–2647, 2003.

    Article  MathSciNet  Google Scholar 

  11. Q.-U.-A. Nadeem, A. Kammoun, M. Debbah, and M.-S. Alouini, A generalized spatial correlation model for 3D MIMO channels based on the Fourier coefficients of power spectrums, IEEE Transaction on Signal Processing, Vol. 63, No. 14, pp. 3671–3686, 2015.

    Article  MathSciNet  Google Scholar 

  12. H. Shin, and M. Z. Win, MIMO Diversity in the Presence of Double Scattering, IEEE Transactions on Information Theory, Vol. 54, No. 7, pp. 2976–2996, 2008.

    Article  MathSciNet  Google Scholar 

  13. Q.-U.-A. Nadeem, A. Kammoun, M. Debbah, and M.-S. Alouini, Asymptotic Analysis of RZF over Double Scattering Channels with MMSE Estimation, IEEE Transactions on Wireless Communications, Vol. 18, No. 5, pp. 2509–2526, 2019.

  14. L. Yang, Outage Performance of OSTBC in Double Scattering MIMO Channels. Wireless Presonal Communication, pp. 225–230, 2007.

  15. H. Zhang, S. Jin, M. R. McKay, X. Zhang, and D. Yang, High-SNR Performance of MIMO Multi-Channel Beamforming in Double-Scattering Channels, IEEE Transactions on Wireless Communications, Vol. 59, No. 6, pp. 1621–1631, 2011.

  16. X. Zhang, X. Yu, S.H. Song, and K. B. Letaief, IRS-aided MIMO Systems over Double-scattering Channels: Impact of Channel Rank Deficiency. in Conference Record of the 2022 IEEE Wireless Communications and Networking Conference (WCNC) 10-13 April 2022, 2022.

  17. X. Zhang, and S. Song, Asymptotic Mutual Information Analysis for Double-scattering MIMO Channels: A New Approach by Gaussian Tools. IEEE Transactions on Information Theory (Early Access). 2023.

  18. H. Shin, Capacity and error exponents for multiple-input multiple output wireless channels Ph.D. thesis, Seoul National University, Seoul, Korea, 2004.

  19. E. T. Browne, Introduction to the Theory of Determinants and Matrices, The University of North Carolina Press, Chapel Hill, 1958.

    Google Scholar 

  20. R. G. Gallager, nformation Theory and Reliable Communication, Wiley, New York, 1968.

Download references

Author information

Authors and Affiliations

  1. Department of Electrical & Electronic Engineering, Rajshahi University of Engineering & Technology, Rajshahi, 6204, Bangladesh

    R. Sultana, M. Z. I. Sarkar & M. S. Hossain

Authors
  1. R. Sultana
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Z. I. Sarkar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. S. Hossain
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. Sultana.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sultana, R., Sarkar, M.Z.I. & Hossain, M.S. Secured Performance Analysis of Double Scattering MIMO Network. Int J Wireless Inf Networks 31, 73–83 (2024). https://doi.org/10.1007/s10776-024-00617-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10776-024-00617-1

Keywords

Search

Navigation