Skip to main content
Log in

Performance evaluation of machine learning methods for path loss prediction in rural environment at 3.7 GHz

  • Original Paper
  • Published:
Wireless Networks Aims and scope Submit manuscript

Abstract

This paper presents and assesses various machine learning methods that aim at predicting path loss in rural environment. For this purpose, models such as artificial neural network (ANN), support vector regression (SVR), random forest (RF), and bagging with k-nearest neighbor (B-kNN) learners, are exploited and evaluated. They are trained and tested with path loss data collected from an extensive measurement campaign that have been carried out in diverse rural areas in Greece. The results demonstrate that all the proposed machine learning models outperform the empirical ones, exhibiting, in any case, root-mean-square-error (RMSE) values between 4.0 and 6.5 dB. The poorest prediction of the measured data is encountered for SVR with Polynomial kernel. Furthermore, B-kNN and RF algorithms preserve comparable path loss approximations with remarkably low RMSE on the order of 4.2–4.3 dB. The error metrics also reveal that increasing the number of hidden layers in ANNs, their performance is gradually enhanced. However, deeper layouts with more than three hidden layers do not markedly improve any further the prediction accuracy. Finally, the best prediction is achieved when employing a three-hidden layered ANN with 51 neurons evenly distributed among the layers. The specific layout exhibits the lowest RMSE value (4.0 dB), thus being highly recommended for accurate path loss predictions in rural locations.

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

Similar content being viewed by others

References

  1. Zappone, A., Di Renzo, M., Debbah, M., Lam, T. T., & Qian, X. (2019). Model-aided wireless artificial intelligence: Embedding expert knowledge in deep neural networks for wireless system optimization. IEEE Vehicular Technology Magazine, 14(3), 60–69.

    Article  Google Scholar 

  2. El Khaled, Z., Ajib, W., & Mcheik, H. (2020). An accurate empirical path loss model for heterogeneous fixed wireless networks below 5.8 GHz frequencies. IEEE Access, 8, 182755–182775.

    Article  Google Scholar 

  3. Thrane, J., Zibar, D., & Christiansen, H. L. (2020). Model-aided deep learning method for path loss prediction in mobile communication systems at 2.6 GHz. IEEE Access, 8, 7925–7936.

    Article  Google Scholar 

  4. Popoola, S. I., Misra, S., & Atayero, A. A. (2018). Outdoor path loss predictions based on extreme learning machine. Wireless Personal Communications, 99(1), 441–460.

    Article  Google Scholar 

  5. Moraitis, N., Vouyioukas, D., Gkioni, A., & Louvros, S. (2020). Measurements and path loss models for a TD-LTE network at 3.7 GHz in rural areas. Wireless Networks, 26(4), 2891–2904.

    Article  Google Scholar 

  6. Wu, L., et al. (2020). Artificial neural network based path loss prediction for wireless communication network. IEEE Access, 8, 199523–199538.

    Article  Google Scholar 

  7. Timoteo, R. D. A., Cunha, D., & Cavalcanti, G. D. C. (2014). A proposal for path loss prediction in urban environments using support vector regression. In Proceedings the tenth advanced international conference on telecommunications (pp. 119–124).

  8. Zhang, Y., Wen, J., Yang, G., He, Z., & Wang, J. (2019). Path loss prediction based on machine learning: Principle, method, and data expansion. Applied Sciences, 9(9), 1–18.

    Google Scholar 

  9. Caprile, B., Merler, S., Furlanello, C., & Jurman, G. (2004). Exact bagging with k-nearest neighbour classifiers. In Proceedings 5th international workshop of multiple classifier systems (pp. 72–81).

  10. Östlin, E., Zepernick, H. J., & Suzuki, H. (2010). Macrocell path-loss prediction using artificial neural networks. IEEE Transactions on Vehicular Technology, 59(6), 2735–2747.

    Article  Google Scholar 

  11. Ayadi, M., Ben Zineb, A., & Tabbane, S. (2017). A UHF path loss model using learning machine for heterogeneous networks. IEEE Transactions on Antennas and Propagation, 65(7), 3675–3683.

    Article  MathSciNet  Google Scholar 

  12. Moreta, C. E. G., Acosta, M. R. C., & Koo, I. (2019). Prediction of digital terrestrial television coverage using machine learning regression. IEEE Transactions on Broadcasting, 65(4), 702–712.

    Article  Google Scholar 

  13. Popescu, I., Nafornita, I., Constantinou, P., Kanatas, A., & Moraitis, N. (2001). Neural networks applications for the prediction of propagation path loss in urban environments. In Proceedings IEEE 53rd vehicular technology conference (pp. 387–391).

  14. Popescu, I., Nikitopoulos, D., Constantinou, P., & Nafornita, I. (2006). ANN prediction models for outdoor environment. In Proceedings 17th IEEE international symposium on personal, indoor and mobile radio communications (pp. 1–5).

  15. Popescu, I., Kanatas, A., Angelou, E., Nafornita, L., & Constantinou, P. (2002). Applications of generalized RBF-NN for path loss prediction. In Proceedings 13th IEEE international symposium on personal, indoor and mobile radio communications (pp. 484–488).

  16. Benmus, T. A., Abboud, R., & Shater, M. Kh. (2015). Neural network approach to model the propagation path loss for great Tripoli area at 900, 1800, and 2100 MHz bands. In Proceedings 16th international conference on sciences and techniques of automatic control and computer engineering (pp. 793–798).

  17. Popoola, S. I., et al. (2019). Determination of neural network parameters for path loss prediction in very high frequency wireless channel. IEEE Access, 7, 150462–150483.

    Article  Google Scholar 

  18. Wen, J., Zhang, Y., Yang, G., He, Z., & Zhang, W. (2019). Path loss prediction based on machine learning methods for aircraft cabin environments. IEEE Access, 7, 159251–159261.

    Article  Google Scholar 

  19. Zhao, X., Hou, C., & Wang, Q. (2013). A new SVM-based modeling method of cabin path loss prediction. International Journal of Antennas and Propagation, 2013, Article ID 279070.

  20. Delos Angeles, J. C., & Dadios, E. P. (2015). Neural network-based path loss prediction for digital TV macrocells. In Proceedings international conference on humanoid, nanotechnology, information technology, communication and control, environment and management (pp. 1–9).

  21. Fernandes, D. F. S., et al. (2020). Comparison of artificial intelligence and semi-empirical methodologies for estimation of coverage in mobile networks. IEEE Access, 8, 139803–139812.

    Article  Google Scholar 

  22. Zhang, Y., Wen, J., Yang, G., He, Z., & Luo, X. (2018). Air-to-air path loss prediction based on machine learning methods in urban environments. Wireless Communications and Mobile Computing, 2018, Article ID 8489326.

  23. Moraitis, N., Tsipi, L., & Vouyioukas, D. (2020). Machine learning-based methods for path loss prediction in urban environment for LTE networks. In Proceedings 16th international conference on wireless and mobile computing, networking and communications (pp. 1–6).

  24. GPP, TS 36.211. (2018). Evolved Universal Terrestrial Radio Access (E-UTRA); Physical channels and modulation (Release 14), V14.2.0.

  25. Rappaport, T. S. (2002). Wireless communications: Principles and practice (2nd ed.). Prentice Hall.

    MATH  Google Scholar 

  26. International Telecommunications Union. (2017). Monte Carlo simulation methodology for the use in sharing and compatibility studies between different radio services or systems. Rec. ITU-R SM.2028-2.

  27. Mohammadjafari, S., Roginsky, S., Kavurmacioglu, E., Cevik, M., Ethier, J., & Basar, A. (2020). Machine learning-based radio coverage prediction in urban environments. IEEE Transactions on Network and Service Management, 17(4), 2117–2130.

    Article  Google Scholar 

  28. Bishop, C. M. (2006). Pattern recognition and machine learning. New York: Springer.

    MATH  Google Scholar 

  29. Hagan, M. T., & Menhaj, M. B. (1994). Training feedforward networks with the Marquardt algorithm. IEEE Transactions on Neural Networks, 5(6), 989–993.

    Article  Google Scholar 

  30. Awad, M., & Khanna, R. (2015). Support vector regression. In Efficient Learning Machines. Apress, Berkeley, CA. https://doi.org/10.1007/978-1-4302-5990-9_4.

  31. Han-Shin, J., Park, C., Lee, E., Choi, H. K., & Park, J. (2020). Path loss prediction based on machine learning techniques: Principal component analysis, artificial neural network, and gaussian process. Sensors, 20(7), 1–23.

    Article  Google Scholar 

  32. Oroza, C. A., Zhang, Z., Watteyne, T., & Glaser, S. D. (2017). A machine learning-based connectivity model for complex terrain large-scale low-power wireless deployments. IEEE Transactions on Cognitive Communications and Networking, 3(4), 576–584.

    Article  Google Scholar 

  33. Kecman, V. (2005). Support vector machines: An introduction. Spinger.

    Google Scholar 

  34. Lee, W. C. Y. (1993). Mobile communications design fundamentals. Wiley series in telecommunications and signal processing. Wiley.

    Google Scholar 

  35. Parsons, J. D. (2000). The mobile radio propagation channel (2nd ed.). Wiley.

    Google Scholar 

  36. Zhou, X., et al. (2015). Experimental characterization and correlation analysis of indoor channels at 15 GHz. International Journal of Antennas and Propagation., 2015, Article ID 601835.

  37. Campbell, M. J., & Swinscow, T. D. V. (2011). Statistics at Square One (11th ed.). Wiley.

    Google Scholar 

  38. Zheng, X., et al. (2021). Full parameter time complexity (FPTC): A method to evaluate the running time of machine learning classifiers for land use/land cover classification. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 14, 2222–2235.

    Article  Google Scholar 

  39. Asghar, M. Z., Abbas, M., Zeeshan, K., Kotilainen, P., & Hämäläinen, T. (2019). Assessment of deep learning methodology for self-organizing 5G networks. Applied Sciences, 9(15), 1–22.

    Article  Google Scholar 

  40. Breiman, L. (2001). Random forests. Machine Learning, 45, 5–32.

    Article  Google Scholar 

  41. Acessed on January 2, 2020. [Online]. Available: https://rapidminer.com.

  42. Dasarathy, B. V. (1991). Nearest neighbor (NN) norms: NN pattern classification techniques. IEEE Computer Society Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nektarios Moraitis.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moraitis, N., Tsipi, L., Vouyioukas, D. et al. Performance evaluation of machine learning methods for path loss prediction in rural environment at 3.7 GHz. Wireless Netw 27, 4169–4188 (2021). https://doi.org/10.1007/s11276-021-02682-3

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11276-021-02682-3

Keywords

Navigation