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

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
[1] Pélet, E. R., Salt, E. J., & Wells, G. (2004, May). Signal distortion caused by tree foliage in a 2.5 GHz channel. In Electrical and Computer Engineering, 2004. Canadian Conference on (Vol. 3, pp. 1449-1452). IEEE.
[2] Perez-Vega, C., & Garcia, J. L. G. (1997, September). A simple approach to a statistical path loss model for indoor communications. In Microwave Conference, 1997. 27th European (Vol. 1, pp. 617-623). IEEE.
[3] Östlin, E. (2009). On Radio Wave Propagation Measurements and Modelling for Cellular Mobile Radio Networks.
[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.
[8] Durgin, G. D. (2009). The practical behavior of various edge-diffraction formulas. IEEE Antennas and Propagation Magazine, 51 (3), 24-35.
[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.
[10] Conway, M. J., Payne, C. J., Bilén, S. G., & Koski, E. N. (2015, October). Ground-wave propagation characterization and prediction for HF cognitive radio. In Military Communications Conference, MILCOM 2015-2015 IEEE (pp. 1643-1649). IEEE.
[11] Kasampalis, S., Lazaridis, P. I., Zaharis, Z. D., Bizopoulos, A., Paunovska, L., Zettas, S.,... & Cosmas, J. (2015, June). Longley-Rice model prediction inaccuracies in the UHF and VHF TV bands in mountainous terrain. In 2015 IEEE International Symposium on Broadband Multimedia Systems and Broadcasting (pp. 1-5). IEEE.
[12] Topcu, S., Goktas, P., Karasan, E., & Altintas, A. (2015, September). A new approach to diffraction modelling for line-of-sight (LOS) paths. In Antennas and Propagation in Wireless Communications (APWC), 2015 IEEE-APS Topical Conference on (pp. 696-699). IEEE.
[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.
[14] Miao, Y. A. N. G., Ji, P. A. N., Yuqi, Z. E. N. G., & Wei, L. I. (2015). Study on Coexistence between Mobile Satellite System and Radiosonde System in 1668∼ 1675 MHz. Telecommunication Engineering, 55 (3).
[15] Lee, C., Jeon, Y., Shin, I., & Kim, J. G. (2015). A Study on LEE Model Application for Propagation Loss Estimation of UHF band in Mountain Area. Journal of the Korea Institute of Military Science and Technology, 18 (2), 167-172.
[16] Ichikawa, K., Wang, H., Sato, K., & Fujii, T. (2015, July). Height power estimation with Radio Environment Database in urban area. In 2015 Seventh International Conference on Ubiquitous and Future Networks (pp. 935-937). IEEE.
[17] ITU-R P.526-13, “Propagation by diffraction,” Series of ITU-R Recommendations, Nov, 2013.
Cite This Article
  • 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
  • Department of Electrical/Electronic and Computer Engineering, University of Uyo, Uyo, Nigeria

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

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

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