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On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration

Received: 15 July 2021    Accepted: 2 August 2021    Published: 7 August 2021
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Abstract

Certain properties of the recently introduced Quasi-Moment-Method (QMM) for the calibration of basic radiowave propagation pathloss models are systematically examined in this paper. Using measurement data concerning three different routes located in a smart campus environment and made available in the open literature, the paper, in particular, investigates the effects of size of pathloss measurement data on the outcomes of the QMM calibration of nine basic pathloss models: namely, COST 231-urban and sub-urban cities models, ECC33-large and medium sized cities models, and the Egli, Ericsson, Hata, Lee, and SUI-‘Terrain A’ models. Computational results reveal that for the data sizes considered, and in the cases of the basic COST 231 and Hata models, which share identical correction factors for receiver antenna height, the ‘model calibration matrix’ becomes ill-conditioned for one choice of basis functions. The corresponding calibrated models, however, still predict pathloss with accuracy typical of the QMM. For example, Root Mean Square Error (RMSE) outcomes of predictions due to the calibration of these models, emerged as approximately the same for these three models; with values of 6.03 dB (Route A), 7.96 dB (Route B), and 6.19 dB (Route C). The results also show that when model calibration utilizes measurement data for distances further away from the transmitters (by ignoring measurement data for radial distances less than 100m away from the transmitters) significant improvements in RMSE metrics were recorded. The paper, in terms of the eigenvalues of the model calibration matrices, further examined the responses of these models to calibration with large-sized measurement data, to find that the model calibration matrices remained characterized, in each case, by a distinctly dominant eigenvalue. An important conclusion arising from the results of the investigations is that whereas the QMM model calibration process may lead, in some cases, and when large-sized measurement data is involved, to ‘badly-scaled’ model calibration matrices, the calibrated models still record very good assessment metrics. Computational results also reveal that with large-sized data sets, QMM models yield pathloss predictions with excellent (close to 0 dB) mean prediction errors.

Published in Journal of Electrical and Electronic Engineering (Volume 9, Issue 4)
DOI 10.11648/j.jeee.20210904.15
Page(s) 129-146
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quasi-Moment-Method, Model Calibration Matrix, Eigenvalues, Smart Campus

References
[1] Durgin, G.,. Rappaport, T. S., &. Xu, H, (1998). 5.85-GHz radio path loss and penetration loss measurements in and around homes and trees," in IEEE Communications Letters, vol. 2, no. 3, pp. 70-72, doi: http://10.1109/4234.662630.
[2] Cheng, W., Liu, T., Hsu, M,. Tsai, Z., and. Sheen, W., (2015). 15 GHz propagation channel measurement at a university campus for the 5G spectrum, 2015 Asia-Pacific Microwave Conference (APMC), 1-3. DOI: http://10.1109/APMC.2015.7413114.
[3] Aborahama, M., Zakaria, A., Ismail, M. H., El-Bardicy, M., El- Tarhuni, M. & Hatahet, Y (2020) Large-scale channel characterization at 28 GHz on a university campus in the United Arab Emirates, Telecommunication Systems 74: 185–199 DOI: https://doi.org/10.1007/s11235-019-00649-6.
[4] Nwawelu, U. N., Nzeako, A. N., &Ahaneku, M. A.(2012). The Limitations of Campus Wireless Networks: A Case Study of University of Nigeria, Nsukka [Lionet] International Journal of Networks and Communications 2012, 2 (5): Pp. 112-122 DOI: http://10.5923/j.ijnc.20120205.04.
[5] Fraga-Lamas, P., Celaya-Echarri, M., Lopez-Iturri, P., Castedo, L., Azpilicueta, L. Aguirre, E. Suárez-Albela, M., Falcone, F.& Fernández-Caramés, T. M. (2019) Design and Experimental Validation of a LoRaWAN Fog Computing Based Architecture for IoT Enabled Smart Campus Applications Sensors 2019, 19, 3287; DOI:: http://10.3390/s19153287.
[6] Han, S. Y., Abu-Ghazaleh, N. B., &. Lee, D. (2016) Efficient and Consistent Path Loss Model for Mobile Network Simulation," in IEEE/ACM Transactions on Networking, vol. 24, no. 3, 1774-1786, doi: http://10.1109/TNET.2015.2431852 96.
[7] Ogunjide, S. B., Ohize, H. O. Usman, A. U., Abiodun, E., Adrgboye, M. A.,& Salami, H. T.(2020). Suitable Propagation Models for 2.4 GHz Wireless Networks: Case Study of Gidan Kwano Campus, FUT MINNA, ABUAD Journal of Engineering Research and Development (AJERD), Vol. 3 (1). 156-165.
[8] Ramos G, Vargas C, Mello L, Pereira P, Vieira R, Gonçalves & S, Rego, C. (2020): Measurement and Prediction of Short-Range Path Loss between 27 and 40 GHz in University Campus Scenarios. Research Square 1-14 DOI: 10.21203/rs.3.rs-70739/v1.
[9] Olajide, O. Y. and Samson, Y. M. (2020). Channel Path-Loss Measurement and Modeling in Wireless Data Network (IEEE 802.11n) Using Artificial Neural Network EJECE, European Journal of Electrical and Computer Engineering Vol. 4, No. 1. 1-7 DOI: http://dx.doi.org/10.24018/ejece.2020.4.1.157.
[10] Femi-Jemilohun, O. J. & Walker S. D, (2014). Path loss prediction models for Corridor propagation at 24GHz Transactions on Networks and Communications Vol 2 (4). 84-94. DOI: 10.14738/tnc.24.361 http://dx.doi.org/10.14738/tnc.24.361.
[11] Ogbeide, K. O.,& Aikhoje, P. T (2017). Investigation of GSM signal propagation and models verification in the University of Benin, Ugbowo Campus Journal of Nigerian Association of Mathematical Physics, Vol v0, 2017. Pp. 437-332.
[12] Oyetunji, S. A. (2013), Determination of Propagation Path Loss and Contour Map for FUTA FM Radio Federal University of Technology, Akure IOSR Journal of Electronics and Communication Engineering (IOSR-JECE) Volume 6, Issue 3 (May. - Jun. 2013), 4-9.
[13] De Luca, D., Fiano, F., Mazzenga, F., Monti, C., Ridolfi, S. &. Vallone, F. (2007). Outdoor Path Loss Models for IEEE 802.16 in Suburban and Campus-Like Environments, 2007 IEEE International Conference on Communications, 2007, pp. 4902-4906, DOI: http://10.1109/ICC.2007.809.
[14] Popoola, S. I, Atayero, A. A.,& Popoola, O. A (2018). Comparative assessment of data obtained using empirical models for path loss predictions in a university campus environment Data in BriefVolume 18, June 2018,. 380-393 https://doi.org/10.1016/j.dib.2018.03.040.
[15] Popoola, S. I, Atayero, A. A, Arausi, O. D., & Matthews, V. O. (2018). Path loss dataset for modeling radio wave propagation in smart campus environment; Data in Brief Volume 17, April 2018, Pp. 1062-1073 https://doi.org/10.1016/j.dib.2018.02.026.
[16] Adekola, S. A., Ayorinde, A. A., Okewole, F. O. & Ike Mowete (2021) A Quasi-Moment-Method empirical modelling for pathloss prediction, International Journal of Electronics Letters, DOI: 10.1080/21681724.2021.1908607.
[17] Ayorinde, A. A, Muhammed, H. A., &Mowete, Ike. (2021). On the Response of Basic Walfisch-Ikegami and Walfisch-Bertoni Models to QMM Calibration. International Journal of Computer Applications. 174. Pp. 53-64. http://10.5120/ijca2021921100.
[18] Mowete, Ike, Adelabu, M. A., Ayorinde, A. A., Muhammed, H. A., & Okewole, F. O (2020) A Quasi-Moment-Method-Based Calibration of Basic Pathloss Models ELEKTRIKA, Journal of Electrical Engineering, VOL. 19, NO. 3, 2020, 35-48 http://10.11113/ELEKTRIKA.V19N3.232.
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  • APA Style

    Ayorinde Ayotunde, Adelabu Michael, Muhammed Hisham, Okewole Francis, Mowete Ike. (2021). On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration. Journal of Electrical and Electronic Engineering, 9(4), 129-146. https://doi.org/10.11648/j.jeee.20210904.15

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    ACS Style

    Ayorinde Ayotunde; Adelabu Michael; Muhammed Hisham; Okewole Francis; Mowete Ike. On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration. J. Electr. Electron. Eng. 2021, 9(4), 129-146. doi: 10.11648/j.jeee.20210904.15

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    AMA Style

    Ayorinde Ayotunde, Adelabu Michael, Muhammed Hisham, Okewole Francis, Mowete Ike. On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration. J Electr Electron Eng. 2021;9(4):129-146. doi: 10.11648/j.jeee.20210904.15

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  • @article{10.11648/j.jeee.20210904.15,
      author = {Ayorinde Ayotunde and Adelabu Michael and Muhammed Hisham and Okewole Francis and Mowete Ike},
      title = {On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration},
      journal = {Journal of Electrical and Electronic Engineering},
      volume = {9},
      number = {4},
      pages = {129-146},
      doi = {10.11648/j.jeee.20210904.15},
      url = {https://doi.org/10.11648/j.jeee.20210904.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20210904.15},
      abstract = {Certain properties of the recently introduced Quasi-Moment-Method (QMM) for the calibration of basic radiowave propagation pathloss models are systematically examined in this paper. Using measurement data concerning three different routes located in a smart campus environment and made available in the open literature, the paper, in particular, investigates the effects of size of pathloss measurement data on the outcomes of the QMM calibration of nine basic pathloss models: namely, COST 231-urban and sub-urban cities models, ECC33-large and medium sized cities models, and the Egli, Ericsson, Hata, Lee, and SUI-‘Terrain A’ models. Computational results reveal that for the data sizes considered, and in the cases of the basic COST 231 and Hata models, which share identical correction factors for receiver antenna height, the ‘model calibration matrix’ becomes ill-conditioned for one choice of basis functions. The corresponding calibrated models, however, still predict pathloss with accuracy typical of the QMM. For example, Root Mean Square Error (RMSE) outcomes of predictions due to the calibration of these models, emerged as approximately the same for these three models; with values of 6.03 dB (Route A), 7.96 dB (Route B), and 6.19 dB (Route C). The results also show that when model calibration utilizes measurement data for distances further away from the transmitters (by ignoring measurement data for radial distances less than 100m away from the transmitters) significant improvements in RMSE metrics were recorded. The paper, in terms of the eigenvalues of the model calibration matrices, further examined the responses of these models to calibration with large-sized measurement data, to find that the model calibration matrices remained characterized, in each case, by a distinctly dominant eigenvalue. An important conclusion arising from the results of the investigations is that whereas the QMM model calibration process may lead, in some cases, and when large-sized measurement data is involved, to ‘badly-scaled’ model calibration matrices, the calibrated models still record very good assessment metrics. Computational results also reveal that with large-sized data sets, QMM models yield pathloss predictions with excellent (close to 0 dB) mean prediction errors.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - On Some Properties of the Quasi-Moment-Method Pathloss Model Calibration
    AU  - Ayorinde Ayotunde
    AU  - Adelabu Michael
    AU  - Muhammed Hisham
    AU  - Okewole Francis
    AU  - Mowete Ike
    Y1  - 2021/08/07
    PY  - 2021
    N1  - https://doi.org/10.11648/j.jeee.20210904.15
    DO  - 10.11648/j.jeee.20210904.15
    T2  - Journal of Electrical and Electronic Engineering
    JF  - Journal of Electrical and Electronic Engineering
    JO  - Journal of Electrical and Electronic Engineering
    SP  - 129
    EP  - 146
    PB  - Science Publishing Group
    SN  - 2329-1605
    UR  - https://doi.org/10.11648/j.jeee.20210904.15
    AB  - Certain properties of the recently introduced Quasi-Moment-Method (QMM) for the calibration of basic radiowave propagation pathloss models are systematically examined in this paper. Using measurement data concerning three different routes located in a smart campus environment and made available in the open literature, the paper, in particular, investigates the effects of size of pathloss measurement data on the outcomes of the QMM calibration of nine basic pathloss models: namely, COST 231-urban and sub-urban cities models, ECC33-large and medium sized cities models, and the Egli, Ericsson, Hata, Lee, and SUI-‘Terrain A’ models. Computational results reveal that for the data sizes considered, and in the cases of the basic COST 231 and Hata models, which share identical correction factors for receiver antenna height, the ‘model calibration matrix’ becomes ill-conditioned for one choice of basis functions. The corresponding calibrated models, however, still predict pathloss with accuracy typical of the QMM. For example, Root Mean Square Error (RMSE) outcomes of predictions due to the calibration of these models, emerged as approximately the same for these three models; with values of 6.03 dB (Route A), 7.96 dB (Route B), and 6.19 dB (Route C). The results also show that when model calibration utilizes measurement data for distances further away from the transmitters (by ignoring measurement data for radial distances less than 100m away from the transmitters) significant improvements in RMSE metrics were recorded. The paper, in terms of the eigenvalues of the model calibration matrices, further examined the responses of these models to calibration with large-sized measurement data, to find that the model calibration matrices remained characterized, in each case, by a distinctly dominant eigenvalue. An important conclusion arising from the results of the investigations is that whereas the QMM model calibration process may lead, in some cases, and when large-sized measurement data is involved, to ‘badly-scaled’ model calibration matrices, the calibrated models still record very good assessment metrics. Computational results also reveal that with large-sized data sets, QMM models yield pathloss predictions with excellent (close to 0 dB) mean prediction errors.
    VL  - 9
    IS  - 4
    ER  - 

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Author Information
  • Department of Electrical & Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

  • Department of Electrical & Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

  • Department of Electrical & Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

  • Department of Electrical & Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

  • Department of Electrical & Electronics Engineering, Faculty of Engineering, University of Lagos, Akoka, Lagos, Nigeria

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