Skip to main content
SpringerLink
Log in

On the Asymptotic BER of MMSE Detector in Massive MIMO Systems

  • Conference paper
  • First Online:
Applied Technologies (ICAT 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1195))

Included in the following conference series:

Abstract

The minimum-mean-square-error (MMSE) detector is widely used in multiple-input multiple-output (MIMO) systems, since it is considered as the best linear detector. However, obtaining a tight bit error rate (BER) expression is not a straightforward task. In massive MIMO (M-MIMO) systems, due to the asymptotically orthogonal channel matrix property, the BER evaluation is less complex by using the random matrix theory. In this article, two closed-form BER expressions are derived for the MMSE detector in M-MIMO systems. The first one is an asymptotic result by using the Marchenko-Pastur distribution, and the second one is an accurate result by using an approximation of the ZF detector performance.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

References

  1. Al-Falahy, N., Alani, O.Y.: Technologies for 5G networks: challenges and opportunities. IT Prof. 19(1), 12–20 (2017). https://doi.org/10.1109/MITP.2017.9

    Article  Google Scholar 

  2. Beiranvand, J., Meghdadi, H.: Analytical performance evaluation of MRC receivers in massive MIMO systems. IEEE Access 6, 53226–53234 (2018). https://doi.org/10.1109/access.2018.2866795

    Article  Google Scholar 

  3. Björnson, E., Larsson, E.G., Marzetta, T.L.: Massive MIMO: ten myths and one critical question. IEEE Commun. Mag. 54(2), 114–123 (2016). https://doi.org/10.1109/mcom.2016.7402270

    Article  Google Scholar 

  4. Cho, K., Yoon, D.: On the general BER expression of one- and two-dimensional amplitude modulations. IEEE Trans. Commun. 50(7), 1074–1080 (2002). https://doi.org/10.1109/TCOMM.2002.800818

    Article  Google Scholar 

  5. Jiang, Y., Varanasi, M.K., Li, J.: Performance analysis of ZF and MMSE equalizers for MIMO systems: an in-depth study of the high SNR regime. IEEE Trans. Inf. Theory 57(4), 2008–2026 (2011). https://doi.org/10.1109/tit.2011.2112070

    Article  MathSciNet  MATH  Google Scholar 

  6. Marzetta, T.L., Larsson, E.G., Yang, H., Ngo, H.Q.: Fundamentals of Massive MIMO. Cambridge University Press, Cambridge (2016). https://doi.org/10.1017/CBO9781316799895

    Book  Google Scholar 

  7. Minango, J., de Almeida, C., Altamirano, C.D.: Low-complexity MMSE detector for massive MIMO systems based on damped Jacobi method. In: 2017 IEEE 28th Annual International Symposium on Personal, Indoor, and Mobile Radio Communications (PIMRC). IEEE, October 2017. https://doi.org/10.1109/pimrc.2017.8292627

  8. Mora, H.C., Garzón, N.O., de Almeida, C.: Performance analysis of MC-CDMA cellular systems employing MMSE multiuser detector in presence of own-cell and co-cell interference. AEU - Int. J. Electron. Commun. 80, 19–28 (2017). https://doi.org/10.1016/j.aeue.2017.06.020

    Article  Google Scholar 

  9. Ngo, H.Q., Larsson, E.G., Marzetta, T.L.: Energy and spectral efficiency of very large multiuser MIMO systems. IEEE Trans. Commun. 61(4), 1436–1449 (2013). https://doi.org/10.1109/TCOMM.2013.020413.110848

    Article  Google Scholar 

  10. Ngo, H.Q., Matthaiou, M., Duong, T.Q., Larsson, E.G.: Uplink performance analysis of multicell MU-SIMO systems with ZF receivers. IEEE Trans. Veh. Technol. 62(9), 4471–4483 (2013). https://doi.org/10.1109/tvt.2013.2265720

    Article  Google Scholar 

  11. Simon, M.K., Alouini, M.S.: Digital Communication over Fading Channels, 2nd edn. Wiley, Newark (2005)

    Google Scholar 

  12. Tulino, A.M., Verdú, S.: Random matrix theory and wireless communications. Commun. Inf. Theory 1(1), 1–182 (2004). https://doi.org/10.1516/0100000001

    Article  MATH  Google Scholar 

  13. Zhai, K., Ma, Z., Lei, X.: Closed-formed distribution for the SINR of MMSE-detected MIMO systems and performance analysis. AEU - Int. J. Electron. Commun. 97, 16–24 (2018). https://doi.org/10.1016/j.aeue.2018.09.038

    Article  Google Scholar 

  14. Zheng, K., Zhao, L., Mei, J., Shao, B., Xiang, W., Hanzo, L.: Survey of large-scale MIMO systems. Commun. Surv. Tutor. 17(3), 1738–1760 (2015). https://doi.org/10.1109/COMST.2015.2425294

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Eléctrica, Electrónica y Telecomunicaciones, Universidad de las Fuerzas Armadas - ESPE, Sangolquí, Ecuador

    Carlos Daniel Altamirano

  2. Instituto de Fomento de Talento Humano (IFTH), Secretaria Nacional de Educación Superior, Ciencia, Tecnología e Innovación (SENESCYT), Quito, Ecuador

    Juan Minango

  3. Faculdade de Engenharía Eléctrica e Computação, Universidade Estadual de Campinas, Campinas, Brazil

    Carlos Daniel Altamirano & Celso de Almeida

  4. Facultad de Ingeniería y Ciencias Aplicadas, Universidad de Las Américas, Quito, Ecuador

    Nathaly Orozco

Authors
  1. Carlos Daniel Altamirano
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Juan Minango
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Celso de Almeida
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nathaly Orozco
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Carlos Daniel Altamirano .

Editor information

Editors and Affiliations

  1. Eindhoven University of Technology, Eindhoven, The Netherlands

    Miguel Botto-Tobar

  2. Universidad Técnica del Norte, Ibarra, Ecuador

    Marcelo Zambrano Vizuete

  3. Universidad Técnica Particular de Loja, Loja, Ecuador

    Pablo Torres-Carrión

  4. Universidad de las Fuerzas Armadas (ESPE), Quito, Ecuador

    Sergio Montes León

  5. Universidad Politécnica Salesiana, Guayaquil, Ecuador

    Guillermo Pizarro Vásquez

  6. International University of Sarajevo, Sarajevo, Bosnia and Herzegovina

    Benjamin Durakovic

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Altamirano, C.D., Minango, J., de Almeida, C., Orozco, N. (2020). On the Asymptotic BER of MMSE Detector in Massive MIMO Systems. In: Botto-Tobar, M., Zambrano Vizuete, M., Torres-Carrión, P., Montes León, S., Pizarro Vásquez, G., Durakovic, B. (eds) Applied Technologies. ICAT 2019. Communications in Computer and Information Science, vol 1195. Springer, Cham. https://doi.org/10.1007/978-3-030-42531-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-42531-9_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-42530-2

  • Online ISBN: 978-3-030-42531-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation