Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method

Wali Samuel; Fidelis Osanebi Chucks Nwaduwa; Trust Christopher Oguichen

doi:doi:10.11648/j.ajsea.20170602.15

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Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method

Wali Samuel, Fidelis Osanebi Chucks Nwaduwa, Trust Christopher Oguichen

Published in American Journal of Software Engineering and Applications (Volume 6, Issue 2)

Received: 3 January 2017 Accepted: 18 January 2017 Published: 12 June 2017

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Abstract

In this paper, algorithm for computing N knife edge diffraction loss using Epstein-Peterson method and International Telecommunication Union (ITU) knife edge diffraction loss approximation model is presented. Requisite mathematical expressions for the computations are first presented before the algorithm is presented. Then sample 10 knife edge obstructions are used to demonstrate the application of the algorithm for L-band 1 GHz microwave signal. The results showed that for the 10 knife edge obstructions spread over a path length of 36 km the maximum virtual hop single knife edge diffraction loss is 8.054711 dB and it occurred in virtual hop j =10 which has the highest diffraction parameter of 0.233333. However, the virtual hop j =10 has line of site (LOS) clearance height of 2.333333 m whereas the highest LOS clearance is 3.454545 m and it occurred in virtual hop j =6. The minimum virtual hop single knife edge diffraction loss is 6.109884 dB and it occurred in virtual hop j =3 which has the lowest diffraction parameter of 0.008909 as well as the lowest LOS clearance height of 0.142857 m. The algorithm is useful for development of automated multiple knife edge diffraction loss system based on Epstein-Peterson method and ITU knife edge diffraction loss approximation model.

Published in	American Journal of Software Engineering and Applications (Volume 6, Issue 2)
DOI	10.11648/j.ajsea.20170602.15
Page(s)	40-43
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

Diffraction Loss, Diffracting Parameter, ITU-R P 526-13 Model, Knife Edge Obstruction, Epstein-Peterson Diffracting Method, Single Knife Edge Diffraction, Multiple Knife Edge Diffraction

References

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[4]	Baldassaro, P. M. (2001). RF and GIS: Field Strength Prediction for Frequencies between 900 MHz and 28 GHz.
[5]	Bibb, D. A., Dang, J., Yun, Z., & Iskander, M. F. (2014, July). Computational accuracy and speed of some knife-edge diffraction models. In 2014 IEEE Antennas and Propagation Society International Symposium (APSURSI) (pp. 705-706). IEEE.
[6]	Lazaridis, P. I., Kasampalis, S., Zaharis, Z. D., Cosmas, J. P., Paunovska, L., & Glover, I. (2015, May). Longley-Rice model precision in case of multiple diffracting obstacles. In URSI Atlantic Conference, Canary Islands.
[7]	Lu, G., Wang, R., Cao, Z., & Jiang, K. (2015). A Decomposition Method for Computing Radiowave Propagation Loss Using Three-Dimensional Parabolic Equation. Progress In Electromagnetics Research M, 44, 183-189.
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[9]	Valtr, P., Pechac, P., & Grabner, M. (2015). Inclusion of Higher Order Diffracted Fields in the Epstein–Peterson Method. IEEE Transactions on Antennas and Propagation, 63 (7), 3240-3244.
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[13]	Guan, K., Ai, B., Fricke, A., He, D., Zhong, Z., Matolak, D. W., & Kürner, T. (2016). Excess Propagation Loss of Semi-Closed Obstacles for Inter/Intra-Device Communications in the Millimeter-Wave Range. Journal of Infrared, Millimeter, and Terahertz Waves, 1-15.
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APA Style

Wali Samuel, Fidelis Osanebi Chucks Nwaduwa, Trust Christopher Oguichen. (2017). Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. American Journal of Software Engineering and Applications, 6(2), 40-43. https://doi.org/10.11648/j.ajsea.20170602.15

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ACS Style

Wali Samuel; Fidelis Osanebi Chucks Nwaduwa; Trust Christopher Oguichen. Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. Am. J. Softw. Eng. Appl. 2017, 6(2), 40-43. doi: 10.11648/j.ajsea.20170602.15

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AMA Style

Wali Samuel, Fidelis Osanebi Chucks Nwaduwa, Trust Christopher Oguichen. Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. Am J Softw Eng Appl. 2017;6(2):40-43. doi: 10.11648/j.ajsea.20170602.15

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@article{10.11648/j.ajsea.20170602.15,
  author = {Wali Samuel and Fidelis Osanebi Chucks Nwaduwa and Trust Christopher Oguichen},
  title = {Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method},
  journal = {American Journal of Software Engineering and Applications},
  volume = {6},
  number = {2},
  pages = {40-43},
  doi = {10.11648/j.ajsea.20170602.15},
  url = {https://doi.org/10.11648/j.ajsea.20170602.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajsea.20170602.15},
  abstract = {In this paper, algorithm for computing N knife edge diffraction loss using Epstein-Peterson method and International Telecommunication Union (ITU) knife edge diffraction loss approximation model is presented. Requisite mathematical expressions for the computations are first presented before the algorithm is presented. Then sample 10 knife edge obstructions are used to demonstrate the application of the algorithm for L-band 1 GHz microwave signal. The results showed that for the 10 knife edge obstructions spread over a path length of 36 km the maximum virtual hop single knife edge diffraction loss is 8.054711 dB and it occurred in virtual hop j =10 which has the highest diffraction parameter of 0.233333. However, the virtual hop j =10 has line of site (LOS) clearance height of 2.333333 m whereas the highest LOS clearance is 3.454545 m and it occurred in virtual hop j =6. The minimum virtual hop single knife edge diffraction loss is 6.109884 dB and it occurred in virtual hop j =3 which has the lowest diffraction parameter of 0.008909 as well as the lowest LOS clearance height of 0.142857 m. The algorithm is useful for development of automated multiple knife edge diffraction loss system based on Epstein-Peterson method and ITU knife edge diffraction loss approximation model.},
 year = {2017}
}

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TY  - JOUR
T1  - Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method
AU  - Wali Samuel
AU  - Fidelis Osanebi Chucks Nwaduwa
AU  - Trust Christopher Oguichen
Y1  - 2017/06/12
PY  - 2017
N1  - https://doi.org/10.11648/j.ajsea.20170602.15
DO  - 10.11648/j.ajsea.20170602.15
T2  - American Journal of Software Engineering and Applications
JF  - American Journal of Software Engineering and Applications
JO  - American Journal of Software Engineering and Applications
SP  - 40
EP  - 43
PB  - Science Publishing Group
SN  - 2327-249X
UR  - https://doi.org/10.11648/j.ajsea.20170602.15
AB  - In this paper, algorithm for computing N knife edge diffraction loss using Epstein-Peterson method and International Telecommunication Union (ITU) knife edge diffraction loss approximation model is presented. Requisite mathematical expressions for the computations are first presented before the algorithm is presented. Then sample 10 knife edge obstructions are used to demonstrate the application of the algorithm for L-band 1 GHz microwave signal. The results showed that for the 10 knife edge obstructions spread over a path length of 36 km the maximum virtual hop single knife edge diffraction loss is 8.054711 dB and it occurred in virtual hop j =10 which has the highest diffraction parameter of 0.233333. However, the virtual hop j =10 has line of site (LOS) clearance height of 2.333333 m whereas the highest LOS clearance is 3.454545 m and it occurred in virtual hop j =6. The minimum virtual hop single knife edge diffraction loss is 6.109884 dB and it occurred in virtual hop j =3 which has the lowest diffraction parameter of 0.008909 as well as the lowest LOS clearance height of 0.142857 m. The algorithm is useful for development of automated multiple knife edge diffraction loss system based on Epstein-Peterson method and ITU knife edge diffraction loss approximation model.
VL  - 6
IS  - 2
ER  -

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Author Information

Wali Samuel

Department of Electrical/Electronic and Computer Engineering, University of Uyo, Uyo, Nigeria
Fidelis Osanebi Chucks Nwaduwa

Department of Electrical/Computer Engineering, Port Harcourt Polytechnic, Rumuola, Port Harcourt, Nigeria
Trust Christopher Oguichen

Department of Electrical/Computer Engineering, Port Harcourt Polytechnic, Rumuola, Port Harcourt, Nigeria

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Plain Text BibTeX RIS

APA Style

Wali Samuel, Fidelis Osanebi Chucks Nwaduwa, Trust Christopher Oguichen. (2017). Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. American Journal of Software Engineering and Applications, 6(2), 40-43. https://doi.org/10.11648/j.ajsea.20170602.15

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ACS Style

Wali Samuel; Fidelis Osanebi Chucks Nwaduwa; Trust Christopher Oguichen. Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. Am. J. Softw. Eng. Appl. 2017, 6(2), 40-43. doi: 10.11648/j.ajsea.20170602.15

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AMA Style

Wali Samuel, Fidelis Osanebi Chucks Nwaduwa, Trust Christopher Oguichen. Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method. Am J Softw Eng Appl. 2017;6(2):40-43. doi: 10.11648/j.ajsea.20170602.15

Copy | Download

@article{10.11648/j.ajsea.20170602.15,
  author = {Wali Samuel and Fidelis Osanebi Chucks Nwaduwa and Trust Christopher Oguichen},
  title = {Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method},
  journal = {American Journal of Software Engineering and Applications},
  volume = {6},
  number = {2},
  pages = {40-43},
  doi = {10.11648/j.ajsea.20170602.15},
  url = {https://doi.org/10.11648/j.ajsea.20170602.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajsea.20170602.15},
  abstract = {In this paper, algorithm for computing N knife edge diffraction loss using Epstein-Peterson method and International Telecommunication Union (ITU) knife edge diffraction loss approximation model is presented. Requisite mathematical expressions for the computations are first presented before the algorithm is presented. Then sample 10 knife edge obstructions are used to demonstrate the application of the algorithm for L-band 1 GHz microwave signal. The results showed that for the 10 knife edge obstructions spread over a path length of 36 km the maximum virtual hop single knife edge diffraction loss is 8.054711 dB and it occurred in virtual hop j =10 which has the highest diffraction parameter of 0.233333. However, the virtual hop j =10 has line of site (LOS) clearance height of 2.333333 m whereas the highest LOS clearance is 3.454545 m and it occurred in virtual hop j =6. The minimum virtual hop single knife edge diffraction loss is 6.109884 dB and it occurred in virtual hop j =3 which has the lowest diffraction parameter of 0.008909 as well as the lowest LOS clearance height of 0.142857 m. The algorithm is useful for development of automated multiple knife edge diffraction loss system based on Epstein-Peterson method and ITU knife edge diffraction loss approximation model.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Algorithm for Computing N Knife Edge Diffraction Loss Using Epstein-Peterson Method
AU  - Wali Samuel
AU  - Fidelis Osanebi Chucks Nwaduwa
AU  - Trust Christopher Oguichen
Y1  - 2017/06/12
PY  - 2017
N1  - https://doi.org/10.11648/j.ajsea.20170602.15
DO  - 10.11648/j.ajsea.20170602.15
T2  - American Journal of Software Engineering and Applications
JF  - American Journal of Software Engineering and Applications
JO  - American Journal of Software Engineering and Applications
SP  - 40
EP  - 43
PB  - Science Publishing Group
SN  - 2327-249X
UR  - https://doi.org/10.11648/j.ajsea.20170602.15
AB  - In this paper, algorithm for computing N knife edge diffraction loss using Epstein-Peterson method and International Telecommunication Union (ITU) knife edge diffraction loss approximation model is presented. Requisite mathematical expressions for the computations are first presented before the algorithm is presented. Then sample 10 knife edge obstructions are used to demonstrate the application of the algorithm for L-band 1 GHz microwave signal. The results showed that for the 10 knife edge obstructions spread over a path length of 36 km the maximum virtual hop single knife edge diffraction loss is 8.054711 dB and it occurred in virtual hop j =10 which has the highest diffraction parameter of 0.233333. However, the virtual hop j =10 has line of site (LOS) clearance height of 2.333333 m whereas the highest LOS clearance is 3.454545 m and it occurred in virtual hop j =6. The minimum virtual hop single knife edge diffraction loss is 6.109884 dB and it occurred in virtual hop j =3 which has the lowest diffraction parameter of 0.008909 as well as the lowest LOS clearance height of 0.142857 m. The algorithm is useful for development of automated multiple knife edge diffraction loss system based on Epstein-Peterson method and ITU knife edge diffraction loss approximation model.
VL  - 6
IS  - 2
ER  -

Copy | Download