Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm

Mfon Emenyi; Kufre Udofia M.; Obinwa Christian Amaefule

doi:doi:10.11648/j.se.20170503.11

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Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm

Mfon Emenyi, Kufre Udofia M., Obinwa Christian Amaefule

Published in Software Engineering (Volume 5, Issue 3)

Received: 3 January 2017 Accepted: 18 January 2017 Published: 27 June 2017

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Abstract

This paper presents an efficient algorithm for determination of optimal path length of terrestrial line of sight microwave communication link. The algorithm computes and adjusts the path length based on the difference between the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link. The algorithm uses Newton-Raphson iteration method to adjust the path length until it arrives at the optimal path length at which the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link at the given set of link parameters. A numerical example is performed for a Ku-band microwave link at 12 GHz. The results show that after 4 cycle the algorithm converged when the path length dropped from its initial value of 19.9903km to the optimal value of 5.89Km. In addition, for free space, the initial value of 140.40dB drops to a value of 129.43dB at the optimal point and maximum fade depth dropped from initial value of 104.04dB to optimal value of 30.65dB.

Published in	Software Engineering (Volume 5, Issue 3)
DOI	10.11648/j.se.20170503.11
Page(s)	44-50
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

Newton–Raphson, Optimal Path Length, Microwave Link, Fade Margin, Fade Depth, Rain Fading, Multipath Fading

References

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APA Style

Mfon Emenyi, Kufre Udofia M., Obinwa Christian Amaefule. (2017). Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Software Engineering, 5(3), 44-50. https://doi.org/10.11648/j.se.20170503.11

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ACS Style

Mfon Emenyi; Kufre Udofia M.; Obinwa Christian Amaefule. Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Softw. Eng. 2017, 5(3), 44-50. doi: 10.11648/j.se.20170503.11

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AMA Style

Mfon Emenyi, Kufre Udofia M., Obinwa Christian Amaefule. Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Softw Eng. 2017;5(3):44-50. doi: 10.11648/j.se.20170503.11

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@article{10.11648/j.se.20170503.11,
  author = {Mfon Emenyi and Kufre Udofia M. and Obinwa Christian Amaefule},
  title = {Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm},
  journal = {Software Engineering},
  volume = {5},
  number = {3},
  pages = {44-50},
  doi = {10.11648/j.se.20170503.11},
  url = {https://doi.org/10.11648/j.se.20170503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20170503.11},
  abstract = {This paper presents an efficient algorithm for determination of optimal path length of terrestrial line of sight microwave communication link. The algorithm computes and adjusts the path length based on the difference between the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link. The algorithm uses Newton-Raphson iteration method to adjust the path length until it arrives at the optimal path length at which the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link at the given set of link parameters. A numerical example is performed for a Ku-band microwave link at 12 GHz. The results show that after 4 cycle the algorithm converged when the path length dropped from its initial value of 19.9903km to the optimal value of 5.89Km. In addition, for free space, the initial value of 140.40dB drops to a value of 129.43dB at the optimal point and maximum fade depth dropped from initial value of 104.04dB to optimal value of 30.65dB.},
 year = {2017}
}

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TY  - JOUR
T1  - Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm
AU  - Mfon Emenyi
AU  - Kufre Udofia M.
AU  - Obinwa Christian Amaefule
Y1  - 2017/06/27
PY  - 2017
N1  - https://doi.org/10.11648/j.se.20170503.11
DO  - 10.11648/j.se.20170503.11
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 44
EP  - 50
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20170503.11
AB  - This paper presents an efficient algorithm for determination of optimal path length of terrestrial line of sight microwave communication link. The algorithm computes and adjusts the path length based on the difference between the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link. The algorithm uses Newton-Raphson iteration method to adjust the path length until it arrives at the optimal path length at which the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link at the given set of link parameters. A numerical example is performed for a Ku-band microwave link at 12 GHz. The results show that after 4 cycle the algorithm converged when the path length dropped from its initial value of 19.9903km to the optimal value of 5.89Km. In addition, for free space, the initial value of 140.40dB drops to a value of 129.43dB at the optimal point and maximum fade depth dropped from initial value of 104.04dB to optimal value of 30.65dB.
VL  - 5
IS  - 3
ER  -

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Author Information

Mfon Emenyi

Department of Electrical/Electronic Engineering, Akwa Ibom State University, Mkpat Enin, Nigeria
Kufre Udofia M.

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

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

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Plain Text BibTeX RIS

APA Style

Mfon Emenyi, Kufre Udofia M., Obinwa Christian Amaefule. (2017). Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Software Engineering, 5(3), 44-50. https://doi.org/10.11648/j.se.20170503.11

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ACS Style

Mfon Emenyi; Kufre Udofia M.; Obinwa Christian Amaefule. Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Softw. Eng. 2017, 5(3), 44-50. doi: 10.11648/j.se.20170503.11

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AMA Style

Mfon Emenyi, Kufre Udofia M., Obinwa Christian Amaefule. Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm. Softw Eng. 2017;5(3):44-50. doi: 10.11648/j.se.20170503.11

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@article{10.11648/j.se.20170503.11,
  author = {Mfon Emenyi and Kufre Udofia M. and Obinwa Christian Amaefule},
  title = {Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm},
  journal = {Software Engineering},
  volume = {5},
  number = {3},
  pages = {44-50},
  doi = {10.11648/j.se.20170503.11},
  url = {https://doi.org/10.11648/j.se.20170503.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.se.20170503.11},
  abstract = {This paper presents an efficient algorithm for determination of optimal path length of terrestrial line of sight microwave communication link. The algorithm computes and adjusts the path length based on the difference between the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link. The algorithm uses Newton-Raphson iteration method to adjust the path length until it arrives at the optimal path length at which the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link at the given set of link parameters. A numerical example is performed for a Ku-band microwave link at 12 GHz. The results show that after 4 cycle the algorithm converged when the path length dropped from its initial value of 19.9903km to the optimal value of 5.89Km. In addition, for free space, the initial value of 140.40dB drops to a value of 129.43dB at the optimal point and maximum fade depth dropped from initial value of 104.04dB to optimal value of 30.65dB.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Computation of Optimal Path Length for Terrestrial Line of Sight Microwave Link Using Newton–Raphson Algorithm
AU  - Mfon Emenyi
AU  - Kufre Udofia M.
AU  - Obinwa Christian Amaefule
Y1  - 2017/06/27
PY  - 2017
N1  - https://doi.org/10.11648/j.se.20170503.11
DO  - 10.11648/j.se.20170503.11
T2  - Software Engineering
JF  - Software Engineering
JO  - Software Engineering
SP  - 44
EP  - 50
PB  - Science Publishing Group
SN  - 2376-8037
UR  - https://doi.org/10.11648/j.se.20170503.11
AB  - This paper presents an efficient algorithm for determination of optimal path length of terrestrial line of sight microwave communication link. The algorithm computes and adjusts the path length based on the difference between the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link. The algorithm uses Newton-Raphson iteration method to adjust the path length until it arrives at the optimal path length at which the maximum fade depth the link can accommodate and the actual fade depth that is expected in the link at the given set of link parameters. A numerical example is performed for a Ku-band microwave link at 12 GHz. The results show that after 4 cycle the algorithm converged when the path length dropped from its initial value of 19.9903km to the optimal value of 5.89Km. In addition, for free space, the initial value of 140.40dB drops to a value of 129.43dB at the optimal point and maximum fade depth dropped from initial value of 104.04dB to optimal value of 30.65dB.
VL  - 5
IS  - 3
ER  -

Copy | Download