Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation

Eduediuyai Dan; Constance Kalu; Ogungbemi Emmanuel Oluropo

doi:doi:10.11648/j.ijssam.20170202.11

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Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation

Eduediuyai Dan, Constance Kalu, Ogungbemi Emmanuel Oluropo

Published in International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 2)

Received: 9 January 2017 Accepted: 25 January 2017 Published: 25 March 2017

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Abstract

In this paper, the effect of effective earth radius adjustment factors (k-adjustment factors) on various parameters associated with single knife edge diffraction loss is studied. The parameters considered are, the earth bulge, Fresnel-Kirchoff diffraction parameter and the number of Fresnel zones that are partially or fully blocked by obstruction in the signal path. The k-adjustment factors analytical expressions are derived and then validated using empirical elevation profile data for line-of-sight (LOS) communication link between Eket and Akwa Ibom state University. Also, k-factors considered in this paper are k1 = 0.5, k2 = 0.9 and k3= 1.333. In all, the results show that when the value of any of the three parameters is known at a given k-factor, k1, then the value of that parameter can be determined at any other k-factor, k2 by adding the k1-to-tk2 adjustment factor of that parameter to the value of the parameter at k1. The result is essential is evaluating the influence of variations in effective earth radius factor on the parameters associated with single knife edge diffraction loss.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 2, Issue 2)
DOI	10.11648/j.ijssam.20170202.11
Page(s)	51-56
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

K-Factor, Diffraction Parameter, Diffraction Loss, Effective Earth Radius, K-Adjustment Factors

References

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APA Style

Eduediuyai Dan, Constance Kalu, Ogungbemi Emmanuel Oluropo. (2017). Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. International Journal of Systems Science and Applied Mathematics, 2(2), 51-56. https://doi.org/10.11648/j.ijssam.20170202.11

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ACS Style

Eduediuyai Dan; Constance Kalu; Ogungbemi Emmanuel Oluropo. Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. Int. J. Syst. Sci. Appl. Math. 2017, 2(2), 51-56. doi: 10.11648/j.ijssam.20170202.11

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AMA Style

Eduediuyai Dan, Constance Kalu, Ogungbemi Emmanuel Oluropo. Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. Int J Syst Sci Appl Math. 2017;2(2):51-56. doi: 10.11648/j.ijssam.20170202.11

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@article{10.11648/j.ijssam.20170202.11,
  author = {Eduediuyai Dan and Constance Kalu and Ogungbemi Emmanuel Oluropo},
  title = {Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {51-56},
  doi = {10.11648/j.ijssam.20170202.11},
  url = {https://doi.org/10.11648/j.ijssam.20170202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170202.11},
  abstract = {In this paper, the effect of effective earth radius adjustment factors (k-adjustment factors) on various parameters associated with single knife edge diffraction loss is studied. The parameters considered are, the earth bulge, Fresnel-Kirchoff diffraction parameter and the number of Fresnel zones that are partially or fully blocked by obstruction in the signal path. The k-adjustment factors analytical expressions are derived and then validated using empirical elevation profile data for line-of-sight (LOS) communication link between Eket and Akwa Ibom state University. Also, k-factors considered in this paper are k1 = 0.5, k2 = 0.9 and k3= 1.333. In all, the results show that when the value of any of the three parameters is known at a given k-factor, k1, then the value of that parameter can be determined at any other k-factor, k2 by adding the k1-to-tk2 adjustment factor of that parameter to the value of the parameter at k1. The result is essential is evaluating the influence of variations in effective earth radius factor on the parameters associated with single knife edge diffraction loss.},
 year = {2017}
}

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TY  - JOUR
T1  - Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation
AU  - Eduediuyai Dan
AU  - Constance Kalu
AU  - Ogungbemi Emmanuel Oluropo
Y1  - 2017/03/25
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170202.11
DO  - 10.11648/j.ijssam.20170202.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 51
EP  - 56
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170202.11
AB  - In this paper, the effect of effective earth radius adjustment factors (k-adjustment factors) on various parameters associated with single knife edge diffraction loss is studied. The parameters considered are, the earth bulge, Fresnel-Kirchoff diffraction parameter and the number of Fresnel zones that are partially or fully blocked by obstruction in the signal path. The k-adjustment factors analytical expressions are derived and then validated using empirical elevation profile data for line-of-sight (LOS) communication link between Eket and Akwa Ibom state University. Also, k-factors considered in this paper are k1 = 0.5, k2 = 0.9 and k3= 1.333. In all, the results show that when the value of any of the three parameters is known at a given k-factor, k1, then the value of that parameter can be determined at any other k-factor, k2 by adding the k1-to-tk2 adjustment factor of that parameter to the value of the parameter at k1. The result is essential is evaluating the influence of variations in effective earth radius factor on the parameters associated with single knife edge diffraction loss.
VL  - 2
IS  - 2
ER  -

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Author Information

Eduediuyai Dan

Department of Electrical/Electronic and Computer Engineering, University of Uyo, Uyo, Nigeria
Constance Kalu

Department of Electrical/Electronic and Computer Engineering, University of Uyo, Uyo, Nigeria
Ogungbemi Emmanuel Oluropo

Department of Electrical/Electronic and Computer Engineering, University of Uyo, Uyo, Nigeria

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Plain Text BibTeX RIS

APA Style

Eduediuyai Dan, Constance Kalu, Ogungbemi Emmanuel Oluropo. (2017). Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. International Journal of Systems Science and Applied Mathematics, 2(2), 51-56. https://doi.org/10.11648/j.ijssam.20170202.11

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ACS Style

Eduediuyai Dan; Constance Kalu; Ogungbemi Emmanuel Oluropo. Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. Int. J. Syst. Sci. Appl. Math. 2017, 2(2), 51-56. doi: 10.11648/j.ijssam.20170202.11

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AMA Style

Eduediuyai Dan, Constance Kalu, Ogungbemi Emmanuel Oluropo. Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation. Int J Syst Sci Appl Math. 2017;2(2):51-56. doi: 10.11648/j.ijssam.20170202.11

Copy | Download

@article{10.11648/j.ijssam.20170202.11,
  author = {Eduediuyai Dan and Constance Kalu and Ogungbemi Emmanuel Oluropo},
  title = {Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {2},
  number = {2},
  pages = {51-56},
  doi = {10.11648/j.ijssam.20170202.11},
  url = {https://doi.org/10.11648/j.ijssam.20170202.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20170202.11},
  abstract = {In this paper, the effect of effective earth radius adjustment factors (k-adjustment factors) on various parameters associated with single knife edge diffraction loss is studied. The parameters considered are, the earth bulge, Fresnel-Kirchoff diffraction parameter and the number of Fresnel zones that are partially or fully blocked by obstruction in the signal path. The k-adjustment factors analytical expressions are derived and then validated using empirical elevation profile data for line-of-sight (LOS) communication link between Eket and Akwa Ibom state University. Also, k-factors considered in this paper are k1 = 0.5, k2 = 0.9 and k3= 1.333. In all, the results show that when the value of any of the three parameters is known at a given k-factor, k1, then the value of that parameter can be determined at any other k-factor, k2 by adding the k1-to-tk2 adjustment factor of that parameter to the value of the parameter at k1. The result is essential is evaluating the influence of variations in effective earth radius factor on the parameters associated with single knife edge diffraction loss.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Empirical Validation Of Effective Earth Radius Adjustment Factors For Earth Bulge and Diffraction Loss Parameters Computation
AU  - Eduediuyai Dan
AU  - Constance Kalu
AU  - Ogungbemi Emmanuel Oluropo
Y1  - 2017/03/25
PY  - 2017
N1  - https://doi.org/10.11648/j.ijssam.20170202.11
DO  - 10.11648/j.ijssam.20170202.11
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 51
EP  - 56
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20170202.11
AB  - In this paper, the effect of effective earth radius adjustment factors (k-adjustment factors) on various parameters associated with single knife edge diffraction loss is studied. The parameters considered are, the earth bulge, Fresnel-Kirchoff diffraction parameter and the number of Fresnel zones that are partially or fully blocked by obstruction in the signal path. The k-adjustment factors analytical expressions are derived and then validated using empirical elevation profile data for line-of-sight (LOS) communication link between Eket and Akwa Ibom state University. Also, k-factors considered in this paper are k1 = 0.5, k2 = 0.9 and k3= 1.333. In all, the results show that when the value of any of the three parameters is known at a given k-factor, k1, then the value of that parameter can be determined at any other k-factor, k2 by adding the k1-to-tk2 adjustment factor of that parameter to the value of the parameter at k1. The result is essential is evaluating the influence of variations in effective earth radius factor on the parameters associated with single knife edge diffraction loss.
VL  - 2
IS  - 2
ER  -

Copy | Download