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Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model

Cilt: 16 Sayı: 2 12 Haziran 2026
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Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model

Öz

Uniform Theory of Diffraction (UTD) is a fast and reliable model used for radio coverage prediction in urban environments. The accurate calculation of the L-parameter within the transition function is critical for ensuring continuity at shadow boundaries in this model. This study investigates the effect of calculating the L-parameter by solving continuity equations versus direct calculation, specifically in multi-edge diffraction scenarios. The results indicate that in cases where obstacle heights are unequal, ensuring phase continuity by solving the equations is necessary to minimize discontinuities in shadow regions. However, in the case of equal heights, accurate results are obtained without the need to solve the continuity equations. A comparison of coverage maps showed that the difference between the two calculation methods generally does not exceed 1 dB. These findings clarify the specific conditions under which continuity correction is essential in UTD modeling.

Anahtar Kelimeler

Continuity equations, Coverage mapping, L-parameters, UTD

Proje Numarası

242N002

Teşekkür

Authors would like to thank Bursa Technical University Scientific Research Project Coordination to support the study under grant no: 242N002.

Kaynakça

  1. Andersen, J. B. (1997). UTD multiple-edge transition zone diffraction. IEEE Transactions on Antennas and Propagation, 45(7), 1093–1097. https://doi.org/10.1109/8.596898
  2. Koutitas, G. C., Zacharias, K., & Tzaras, C. (2006). A Multi-Shaped UTD Solution for Irregular Terrain Propagation Modelling. 2006 IEEE Antennas and Propagation Society International Symposium, 4739–4742. https://doi.org/10.1109/APS.2006.1711699
  3. Kouyoumjian, R., & Pathak, P. (1974). A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface. Proceedings of the IEEE, 62(11), 1448–1461. https://doi.org/10.1109/PROC.1974.9651
  4. Luebbers, R. (1984). Finite conductivity uniform GTD versus knife edge diffraction in prediction of propagation path loss. IEEE Transactions on Antennas and Propagation, 32(1), 70–76. https://doi.org/10.1109/TAP.1984.1143189
  5. McNamara, D. A., Pistorious, C. V., & Malherbe, J. A. G. (1990). Introduction to the uniform geometrical theory of diffraction. Artech House.
  6. Pathak, P., Burnside, W., & Marhefka, R. (1980). A uniform GTD analysis of the diffraction of electromagnetic waves by a smooth convex surface. IEEE Transactions on Antennas and Propagation, 28(5), 631–642. https://doi.org/ 10.1109/TAP.1980.1142396
  7. Rizk, K., Valenzuela, R., Chizhik, D., & Gardiol, F. (1998). Application of the slope diffraction method for urban microwave propagation prediction. 48th IEEE Vehicular Technology Conference, 1150–1155. https://doi.org/ 10.1109/VETEC.1998.686419
  8. Tabakcıoğlu, M. B., & Kara, A. (2007). On the improvements in multiple edge transition zone diffraction. 2nd European Conference on Antennas and Propagation (EuCAP 2007), Edinburgh, UK. https://doi.org/10.1049/ic.2007.1514
  9. Tabakcioglu, M. B. (2021). Coverage prediction for triple diffraction scenarios. ACES Journal, 33(11), 1217–1222.
  10. Tabakcioglu, M. B. (2020). Extensive comparison results of coverage map of optimum base station location of digital terrain with UTD based model. Progress In Electromagnetics Research M, 97, 69-76. https://doi.org/ 10.2528/PIERM20080405

Kaynak Göster

APA
Bayram, B., Erbaş, U., Avcı, A., & Tabakcıoğlu, M. B. (2026). Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 16(2), 669-681. https://doi.org/10.17714/gumusfenbil.1857795
AMA
1.Bayram B, Erbaş U, Avcı A, Tabakcıoğlu MB. Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2026;16(2):669-681. doi:10.17714/gumusfenbil.1857795
Chicago
Bayram, Bahtiyar, Uğur Erbaş, Adem Avcı, ve Mehmet Barış Tabakcıoğlu. 2026. “Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 16 (2): 669-81. https://doi.org/10.17714/gumusfenbil.1857795.
EndNote
Bayram B, Erbaş U, Avcı A, Tabakcıoğlu MB (01 Haziran 2026) Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 16 2 669–681.
IEEE
[1]B. Bayram, U. Erbaş, A. Avcı, ve M. B. Tabakcıoğlu, “Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model”, Gümüşhane Üniversitesi Fen Bilimleri Dergisi, c. 16, sy 2, ss. 669–681, Haz. 2026, doi: 10.17714/gumusfenbil.1857795.
ISNAD
Bayram, Bahtiyar - Erbaş, Uğur - Avcı, Adem - Tabakcıoğlu, Mehmet Barış. “Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi 16/2 (01 Haziran 2026): 669-681. https://doi.org/10.17714/gumusfenbil.1857795.
JAMA
1.Bayram B, Erbaş U, Avcı A, Tabakcıoğlu MB. Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 2026;16:669–681.
MLA
Bayram, Bahtiyar, vd. “Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model”. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, c. 16, sy 2, Haziran 2026, ss. 669-81, doi:10.17714/gumusfenbil.1857795.
Vancouver
1.Bahtiyar Bayram, Uğur Erbaş, Adem Avcı, Mehmet Barış Tabakcıoğlu. Contribution of the ensuring phase continuity in calculation of L-Parameter in UTD model. Gümüşhane Üniversitesi Fen Bilimleri Dergisi. 01 Haziran 2026;16(2):669-81. doi:10.17714/gumusfenbil.1857795