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Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance

Received: 31 October 2016    Accepted: 6 January 2017    Published: 10 October 2017
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Abstract

In this paper, remodeling of Lee’s piecewise knife diffraction loss model is presented. The original Lee’s piecewise knife diffraction loss model is expressed as a function of Fresnel-Kirchoff diffraction parameter. The computation of the Fresnel-Kirchoff diffraction parameter requires detailed terrain and link parameters. However, for quick link planning the Fresnel-Kirchoff diffraction parameter can be computed from the knowledge of the line of site percentage clearance alone. Moreover, in line of site link design, the required or acceptable obstruction clearance is specified in terms of line of site percentage clearance. Consequently, in this paper, the Lee’s model is remodeled into new piecewise functions that are entirely functions of line of site percentage clearance. The new version of Lee’s model is validated with the results of knife edge diffraction loss obtained from the original Lee’s piecewise knife diffraction loss model. With the new model it is easier to determine the diffraction loss that will be caused by any obstruction at a given line of site percentage clearance.

Published in International Journal of Theoretical and Applied Mathematics (Volume 3, Issue 4)
DOI 10.11648/j.ijtam.20170304.12
Page(s) 138-142
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

Diffraction Parameter, Diffraction Loss, Lee’s Diffraction Loss Model, Line of Site Communication, Percentage Clearance

References
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Cite This Article
  • APA Style

    Swinton C. Nwokonko, Vital K. Onwuzuruike, Chibuzo Promise Nkwocha. (2017). Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance. International Journal of Theoretical and Applied Mathematics, 3(4), 138-142. https://doi.org/10.11648/j.ijtam.20170304.12

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    ACS Style

    Swinton C. Nwokonko; Vital K. Onwuzuruike; Chibuzo Promise Nkwocha. Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance. Int. J. Theor. Appl. Math. 2017, 3(4), 138-142. doi: 10.11648/j.ijtam.20170304.12

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    AMA Style

    Swinton C. Nwokonko, Vital K. Onwuzuruike, Chibuzo Promise Nkwocha. Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance. Int J Theor Appl Math. 2017;3(4):138-142. doi: 10.11648/j.ijtam.20170304.12

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  • @article{10.11648/j.ijtam.20170304.12,
      author = {Swinton C. Nwokonko and Vital K. Onwuzuruike and Chibuzo Promise Nkwocha},
      title = {Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {3},
      number = {4},
      pages = {138-142},
      doi = {10.11648/j.ijtam.20170304.12},
      url = {https://doi.org/10.11648/j.ijtam.20170304.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20170304.12},
      abstract = {In this paper, remodeling of Lee’s piecewise knife diffraction loss model is presented. The original Lee’s piecewise knife diffraction loss model is expressed as a function of Fresnel-Kirchoff diffraction parameter. The computation of the Fresnel-Kirchoff diffraction parameter requires detailed terrain and link parameters. However, for quick link planning the Fresnel-Kirchoff diffraction parameter can be computed from the knowledge of the line of site percentage clearance alone. Moreover, in line of site link design, the required or acceptable obstruction clearance is specified in terms of line of site percentage clearance. Consequently, in this paper, the Lee’s model is remodeled into new piecewise functions that are entirely functions of line of site percentage clearance. The new version of Lee’s model is validated with the results of knife edge diffraction loss obtained from the original Lee’s piecewise knife diffraction loss model. With the new model it is easier to determine the diffraction loss that will be caused by any obstruction at a given line of site percentage clearance.},
     year = {2017}
    }
    

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  • TY  - JOUR
    T1  - Remodelling of Lee’s Knife Diffraction Loss Model as a Function of Line of Site Percentage Clearance
    AU  - Swinton C. Nwokonko
    AU  - Vital K. Onwuzuruike
    AU  - Chibuzo Promise Nkwocha
    Y1  - 2017/10/10
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    N1  - https://doi.org/10.11648/j.ijtam.20170304.12
    DO  - 10.11648/j.ijtam.20170304.12
    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
    SP  - 138
    EP  - 142
    PB  - Science Publishing Group
    SN  - 2575-5080
    UR  - https://doi.org/10.11648/j.ijtam.20170304.12
    AB  - In this paper, remodeling of Lee’s piecewise knife diffraction loss model is presented. The original Lee’s piecewise knife diffraction loss model is expressed as a function of Fresnel-Kirchoff diffraction parameter. The computation of the Fresnel-Kirchoff diffraction parameter requires detailed terrain and link parameters. However, for quick link planning the Fresnel-Kirchoff diffraction parameter can be computed from the knowledge of the line of site percentage clearance alone. Moreover, in line of site link design, the required or acceptable obstruction clearance is specified in terms of line of site percentage clearance. Consequently, in this paper, the Lee’s model is remodeled into new piecewise functions that are entirely functions of line of site percentage clearance. The new version of Lee’s model is validated with the results of knife edge diffraction loss obtained from the original Lee’s piecewise knife diffraction loss model. With the new model it is easier to determine the diffraction loss that will be caused by any obstruction at a given line of site percentage clearance.
    VL  - 3
    IS  - 4
    ER  - 

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Author Information
  • Department of Electrical/Engineering, Imo State University, Owerri, Nigeria

  • Department of Electrical/Engineering, Imo State University, Owerri, Nigeria

  • Department of Chemical Engineering, Federal University of Technology, Owerri, Nigeria

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