Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link

Ikechukwu H. Ezeh; Nwiido Friday; Amlabu Runcie

doi:doi:10.11648/j.wjap.20170201.14

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Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link

Ikechukwu H. Ezeh, Nwiido Friday, Amlabu Runcie

Published in World Journal of Applied Physics (Volume 2, Issue 1)

Received: 31 October 2016 Accepted: 12 January 2017 Published: 5 April 2017

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Abstract

In this paper mathematical model for equivalent Fresnel zone line of sight percentage clearance for terrestrial point-to-point line-of-sight communication link is presented. Sample 3 GHz microwave link with 38887.6 m path length is used to demonstrate the application of the model. In the sample link, five Fresnel zones are considered, namely zone 1, 2 4, 8, and 16. The results show that at middle of the link, the corresponding radius of each of the five Fresnel zones are r1 = 31.18 m, r2=44.1m, r4=62.36m, r8=88.19 m, r16 =124.72 m. When the LOS percentage clearance specified with respect to Fresnel zone 1 is-100% the corresponding LOS percentage clearance with respect to the other Fresnel zones are as follows: Fresnel zone 2 is -70.71%, Fresnel zone 4 is -50%, Fresnel zone 8 is -35.36% and Fresnel zone 16 is -25%. The results confirm that the equivalent line of sight percentage clearance is given as Pc(x, n2) = where n1 and n2 are two different Fresnel zones and ) are the line of sight percentage clearance at Fresnel zone n1 and n2 respectively.

Published in	World Journal of Applied Physics (Volume 2, Issue 1)
DOI	10.11648/j.wjap.20170201.14
Page(s)	27-31
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), 2017. Published by Science Publishing Group

Keywords

Line-of-Sight Communication, Fresnel Zone, Microwave Link, Percentage Clearance, Point-to-Point Link

References

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APA Style

Ikechukwu H. Ezeh, Nwiido Friday, Amlabu Runcie. (2017). Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World Journal of Applied Physics, 2(1), 27-31. https://doi.org/10.11648/j.wjap.20170201.14

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ACS Style

Ikechukwu H. Ezeh; Nwiido Friday; Amlabu Runcie. Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World J. Appl. Phys. 2017, 2(1), 27-31. doi: 10.11648/j.wjap.20170201.14

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AMA Style

Ikechukwu H. Ezeh, Nwiido Friday, Amlabu Runcie. Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World J Appl Phys. 2017;2(1):27-31. doi: 10.11648/j.wjap.20170201.14

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@article{10.11648/j.wjap.20170201.14,
  author = {Ikechukwu H. Ezeh and Nwiido Friday and Amlabu Runcie},
  title = {Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {1},
  pages = {27-31},
  doi = {10.11648/j.wjap.20170201.14},
  url = {https://doi.org/10.11648/j.wjap.20170201.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170201.14},
  abstract = {In this paper mathematical model for equivalent Fresnel zone line of sight percentage clearance for terrestrial point-to-point line-of-sight communication link is presented. Sample 3 GHz microwave link with 38887.6 m path length is used to demonstrate the application of the model. In the sample link, five Fresnel zones are considered, namely zone 1, 2 4, 8, and 16. The results show that at middle of the link, the corresponding radius of each of the five Fresnel zones are r1 = 31.18 m, r2=44.1m, r4=62.36m, r8=88.19 m, r16 =124.72 m. When the LOS percentage clearance specified with respect to Fresnel zone 1 is-100% the corresponding LOS percentage clearance with respect to the other Fresnel zones are as follows: Fresnel zone 2 is -70.71%, Fresnel zone 4 is -50%, Fresnel zone 8 is -35.36% and Fresnel zone 16 is -25%. The results confirm that the equivalent line of sight percentage clearance is given as Pc(x, n2) =  where n1 and n2 are two different Fresnel zones and ) are the line of sight percentage clearance at Fresnel zone n1 and n2 respectively.},
 year = {2017}
}

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TY  - JOUR
T1  - Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link
AU  - Ikechukwu H. Ezeh
AU  - Nwiido Friday
AU  - Amlabu Runcie
Y1  - 2017/04/05
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170201.14
DO  - 10.11648/j.wjap.20170201.14
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 27
EP  - 31
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170201.14
AB  - In this paper mathematical model for equivalent Fresnel zone line of sight percentage clearance for terrestrial point-to-point line-of-sight communication link is presented. Sample 3 GHz microwave link with 38887.6 m path length is used to demonstrate the application of the model. In the sample link, five Fresnel zones are considered, namely zone 1, 2 4, 8, and 16. The results show that at middle of the link, the corresponding radius of each of the five Fresnel zones are r1 = 31.18 m, r2=44.1m, r4=62.36m, r8=88.19 m, r16 =124.72 m. When the LOS percentage clearance specified with respect to Fresnel zone 1 is-100% the corresponding LOS percentage clearance with respect to the other Fresnel zones are as follows: Fresnel zone 2 is -70.71%, Fresnel zone 4 is -50%, Fresnel zone 8 is -35.36% and Fresnel zone 16 is -25%. The results confirm that the equivalent line of sight percentage clearance is given as Pc(x, n2) =  where n1 and n2 are two different Fresnel zones and ) are the line of sight percentage clearance at Fresnel zone n1 and n2 respectively.
VL  - 2
IS  - 1
ER  -

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Author Information

Ikechukwu H. Ezeh

Department of Electrical Engineering, Imo State University (IMSU), Owerri, Nigeria
Nwiido Friday

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

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

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Plain Text BibTeX RIS

APA Style

Ikechukwu H. Ezeh, Nwiido Friday, Amlabu Runcie. (2017). Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World Journal of Applied Physics, 2(1), 27-31. https://doi.org/10.11648/j.wjap.20170201.14

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ACS Style

Ikechukwu H. Ezeh; Nwiido Friday; Amlabu Runcie. Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World J. Appl. Phys. 2017, 2(1), 27-31. doi: 10.11648/j.wjap.20170201.14

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AMA Style

Ikechukwu H. Ezeh, Nwiido Friday, Amlabu Runcie. Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link. World J Appl Phys. 2017;2(1):27-31. doi: 10.11648/j.wjap.20170201.14

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@article{10.11648/j.wjap.20170201.14,
  author = {Ikechukwu H. Ezeh and Nwiido Friday and Amlabu Runcie},
  title = {Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link},
  journal = {World Journal of Applied Physics},
  volume = {2},
  number = {1},
  pages = {27-31},
  doi = {10.11648/j.wjap.20170201.14},
  url = {https://doi.org/10.11648/j.wjap.20170201.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20170201.14},
  abstract = {In this paper mathematical model for equivalent Fresnel zone line of sight percentage clearance for terrestrial point-to-point line-of-sight communication link is presented. Sample 3 GHz microwave link with 38887.6 m path length is used to demonstrate the application of the model. In the sample link, five Fresnel zones are considered, namely zone 1, 2 4, 8, and 16. The results show that at middle of the link, the corresponding radius of each of the five Fresnel zones are r1 = 31.18 m, r2=44.1m, r4=62.36m, r8=88.19 m, r16 =124.72 m. When the LOS percentage clearance specified with respect to Fresnel zone 1 is-100% the corresponding LOS percentage clearance with respect to the other Fresnel zones are as follows: Fresnel zone 2 is -70.71%, Fresnel zone 4 is -50%, Fresnel zone 8 is -35.36% and Fresnel zone 16 is -25%. The results confirm that the equivalent line of sight percentage clearance is given as Pc(x, n2) =  where n1 and n2 are two different Fresnel zones and ) are the line of sight percentage clearance at Fresnel zone n1 and n2 respectively.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Mathematical Model for Equivalent Fresnel Zone Line of Sight Percentage Clearance for Terrestrial Point-to-Point Line-of-Sight Communication Link
AU  - Ikechukwu H. Ezeh
AU  - Nwiido Friday
AU  - Amlabu Runcie
Y1  - 2017/04/05
PY  - 2017
N1  - https://doi.org/10.11648/j.wjap.20170201.14
DO  - 10.11648/j.wjap.20170201.14
T2  - World Journal of Applied Physics
JF  - World Journal of Applied Physics
JO  - World Journal of Applied Physics
SP  - 27
EP  - 31
PB  - Science Publishing Group
SN  - 2637-6008
UR  - https://doi.org/10.11648/j.wjap.20170201.14
AB  - In this paper mathematical model for equivalent Fresnel zone line of sight percentage clearance for terrestrial point-to-point line-of-sight communication link is presented. Sample 3 GHz microwave link with 38887.6 m path length is used to demonstrate the application of the model. In the sample link, five Fresnel zones are considered, namely zone 1, 2 4, 8, and 16. The results show that at middle of the link, the corresponding radius of each of the five Fresnel zones are r1 = 31.18 m, r2=44.1m, r4=62.36m, r8=88.19 m, r16 =124.72 m. When the LOS percentage clearance specified with respect to Fresnel zone 1 is-100% the corresponding LOS percentage clearance with respect to the other Fresnel zones are as follows: Fresnel zone 2 is -70.71%, Fresnel zone 4 is -50%, Fresnel zone 8 is -35.36% and Fresnel zone 16 is -25%. The results confirm that the equivalent line of sight percentage clearance is given as Pc(x, n2) =  where n1 and n2 are two different Fresnel zones and ) are the line of sight percentage clearance at Fresnel zone n1 and n2 respectively.
VL  - 2
IS  - 1
ER  -

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