Skip to main content
Log in

Joint Uplink/Downlink Coverage and Spectral Efficiency in Heterogeneous Cellular Network

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, the joint uplink and downlink signal to interference plus noise ratio distribution have been analyzed in a two-tier heterogeneous cellular network. We assume that macro and pico base stations and user equipments are uniformly distributed in the network. User could be paired to its nearest base station or to the BS from which the average received power in the downlink is maximum. Uplink in both cases is coupled to downlink. For symmetric services both up and down links should be able to carry the information flow. Correlation between uplink and downlink coverage could be guessed even under independent Rayleigh fading. The symmetric spectral efficiency gathers both uplink and downlink capacities while forcing them to happen simultaneously. We used realistic spectral efficiencies as signaled by channel quality indicators in LTE. Fractional power control has also been included in the analysis. The results of coverage and spectral efficiency for marginal uplink, marginal downlink, and joint uplink/downlink has been obtained. The assumption of independence between both links is analyzed for the complex trade off of the parameters for network design to obtain the best symmetric efficiency.

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

Access this article

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

Instant access to the full article PDF.

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

Similar content being viewed by others

References

  1. Yang, K., Wang, P., Hong, X., Zhang, X. (2015). Joint downlink and uplink network performance analysis with CRE in heterogeneous wireless network. In IEEE 26th annual international symposium on personal, indoor and mobile radio communications (PIMRC), Hong Kong, pp 1659–1663.

  2. Singh, S., Zhang, X., & Andrews, J. G. (2015). Joint rate and SINR coverage analysis for decoupled uplink–downlink biased cell associations in HetNets. IEEE Transactions on Wireless Communications, 14(10), 5360–5373.

    Article  Google Scholar 

  3. Mukherjee, S. (2014). Analytical modeling of heterogeneous cellular networks: Geometry, coverage and capacity. Cambridge: Cambridge University Press.

    MATH  Google Scholar 

  4. Stoyan, D., Kendall, W. S., Mecke, J., & Chiu, S. N. (2013). Stochastic geometry and its applications. Chichester: Wiley.

    MATH  Google Scholar 

  5. ETSI 3GPP, TR 36.931 Technical report. (2011). LTE; Evolved Universal Terrestrial radio access (E-UTRA); Radio frequency (RF) requirements for LTE Pico Node B. http://www.3gpp.org/dynareport/36931.htm.

  6. Novlan, T. D., Dhillon, H. S., & Andrews, J. G. (2013). Analytical modeling of uplink cellular networks. IEEE Transactions on Wireless Communications, 12(6), 2669–2679.

    Article  Google Scholar 

  7. Dhillon, H. S., Novlan, T. D., & Andrews, J. G. (2012). Coverage probability of uplink cellular networks. In Proceedings of the IEEE global communications conference (GLOBECOM), Anaheim, CA, pp. 2179–2184.

  8. Acharya, J., Gao, L., & Gaur, S. (2014). Heterogeneous networks in LTE-advanced. Chichester: Wiley.

    Book  Google Scholar 

  9. Aguayo-Torres, M. C., Blanquez-Casado, F., Delgado-Luque, I. M., Entrambasaguas, J. T., Gomez, G., Martin-Vega, F. J., Morales-Jimenez, D., Sanchez-Sanchez, J. J. (2014). WM-SIM LTE link simulator. http://riuma.uma.es/xmlui/handle/10630/7438.

Download references

Acknowledgements

This work has been partially supported by the Spanish Government under the Project TEC2013-44442-P.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Mujtaba Shaikh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shaikh, M.M., Aguayo-Torres, M.C. Joint Uplink/Downlink Coverage and Spectral Efficiency in Heterogeneous Cellular Network. Wireless Pers Commun 95, 233–244 (2017). https://doi.org/10.1007/s11277-016-3889-1

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-016-3889-1

Keywords

Navigation