A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles

This paper presents a radiopropagation algorithm based on a Ray Tracing (RT) technique that combines a modified multipath model for constant refractivity gradient profiles and the Uniform Theory of Diffraction (UTD). A novel formulation is proposed by the authors for calculation and ground-reflectio...

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Autores:
Parada Rozo, Diego Andres
Rego, Cassio
Guevara-Ibarra, Dinael
Navarro, Andres
Ramos, Glaucio
Oliveira, Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2023
Institución:
Universidad Francisco de Paula Santander
Repositorio:
Repositorio Digital UFPS
Idioma:
eng
OAI Identifier:
oai:repositorio.ufps.edu.co:ufps/6761
Acceso en línea:
https://repositorio.ufps.edu.co/handle/ufps/6761
http://dx.doi.org/10.1590/2179-10742023v22i2272846
Palabra clave:
Atmospheric refractivity
multipath model
UTD
PE numerical solution
RT techniques
Rights
openAccess
License
© 2023 SBMO/SBMag
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dc.title.eng.fl_str_mv A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
title A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
spellingShingle A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
Atmospheric refractivity
multipath model
UTD
PE numerical solution
RT techniques
title_short A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
title_full A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
title_fullStr A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
title_full_unstemmed A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
title_sort A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles
dc.creator.fl_str_mv Parada Rozo, Diego Andres
Rego, Cassio
Guevara-Ibarra, Dinael
Navarro, Andres
Ramos, Glaucio
Oliveira, Rodrigo
dc.contributor.author.none.fl_str_mv Parada Rozo, Diego Andres
Rego, Cassio
Guevara-Ibarra, Dinael
Navarro, Andres
Ramos, Glaucio
Oliveira, Rodrigo
dc.subject.proposal.eng.fl_str_mv Atmospheric refractivity
multipath model
UTD
PE numerical solution
RT techniques
topic Atmospheric refractivity
multipath model
UTD
PE numerical solution
RT techniques
description This paper presents a radiopropagation algorithm based on a Ray Tracing (RT) technique that combines a modified multipath model for constant refractivity gradient profiles and the Uniform Theory of Diffraction (UTD). A novel formulation is proposed by the authors for calculation and ground-reflection analysis of ray paths depending on atmospheric refractivity. The algorithm introduced herein was evaluated in a mixed scenario and in two more realistic case studies, under conditions of constant refractivity gradient and lossy terrain profiles. Pathloss results are obtained and compared with Parabolic Equation (PE) numerical solution results at 2.0 GHz, 3.5 GHz and 5.4 GHz. In such conditions, the modified radiopropagation multipath algorithm with atmospheric refractivity introduced herein showed satisfactory results.
publishDate 2023
dc.date.issued.none.fl_str_mv 2023-06
dc.date.accessioned.none.fl_str_mv 2024-03-22T15:05:09Z
dc.date.available.none.fl_str_mv 2024-03-22T15:05:09Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.uri.none.fl_str_mv https://repositorio.ufps.edu.co/handle/ufps/6761
dc.identifier.doi.none.fl_str_mv http://dx.doi.org/10.1590/2179-10742023v22i2272846
url https://repositorio.ufps.edu.co/handle/ufps/6761
http://dx.doi.org/10.1590/2179-10742023v22i2272846
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv D. Parada, C. G. Rego, D. Guevara, A. Navarro, G. L. Ramos,R. Oliveira. A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles. Journal of Microwaves, Optoelectronics and Electromagnetic Applications. junio de 2023;
dc.relation.citationedition.spa.fl_str_mv Vol.22 N°.2 (2023)
dc.relation.citationendpage.spa.fl_str_mv 312
dc.relation.citationissue.spa.fl_str_mv 2 (2023)
dc.relation.citationstartpage.spa.fl_str_mv 298
dc.relation.citationvolume.spa.fl_str_mv 22
dc.rights.eng.fl_str_mv © 2023 SBMO/SBMag
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.creativecommons.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
rights_invalid_str_mv © 2023 SBMO/SBMag
https://creativecommons.org/licenses/by/4.0/
Atribución 4.0 Internacional (CC BY 4.0)
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 15 Páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Journal of Microwaves, Optoelectronics and Electromagnetic Applications
dc.source.spa.fl_str_mv https://doaj.org/article/c90351c7108e44d48dcbf18dc38896da
institution Universidad Francisco de Paula Santander
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spelling Parada Rozo, Diego Andresda1ed12acecab6a4c5176e714f82a1d0600Rego, Cassiob84734239bdefd45b9c25246b9cfe2e6600Guevara-Ibarra, Dinael8ef09800b4b82c251d64f251f83f6556600Navarro, Andresbe4cb8feaf490d0bee70babf0d0d9882600Ramos, Glaucioea6bd7aef76bf089b3e44974b4608585600Oliveira, Rodrigo1946a1a01335cae3a2c738fc01e844172024-03-22T15:05:09Z2024-03-22T15:05:09Z2023-06https://repositorio.ufps.edu.co/handle/ufps/6761http://dx.doi.org/10.1590/2179-10742023v22i2272846This paper presents a radiopropagation algorithm based on a Ray Tracing (RT) technique that combines a modified multipath model for constant refractivity gradient profiles and the Uniform Theory of Diffraction (UTD). A novel formulation is proposed by the authors for calculation and ground-reflection analysis of ray paths depending on atmospheric refractivity. The algorithm introduced herein was evaluated in a mixed scenario and in two more realistic case studies, under conditions of constant refractivity gradient and lossy terrain profiles. Pathloss results are obtained and compared with Parabolic Equation (PE) numerical solution results at 2.0 GHz, 3.5 GHz and 5.4 GHz. In such conditions, the modified radiopropagation multipath algorithm with atmospheric refractivity introduced herein showed satisfactory results.15 Páginasapplication/pdfengJournal of Microwaves, Optoelectronics and Electromagnetic ApplicationsD. Parada, C. G. Rego, D. Guevara, A. Navarro, G. L. Ramos,R. Oliveira. A Modified Radiopropagation Multipath Model for Constant Refractivity Gradient Profiles. Journal of Microwaves, Optoelectronics and Electromagnetic Applications. junio de 2023;Vol.22 N°.2 (2023)3122 (2023)29822© 2023 SBMO/SBMaghttps://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://doaj.org/article/c90351c7108e44d48dcbf18dc38896daA Modified Radiopropagation Multipath Model for Constant Refractivity Gradient ProfilesArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Atmospheric refractivitymultipath modelUTDPE numerical solutionRT techniquesT. S. Rappaport, Y. Xing, G. R. MacCartney, A. F. Molisch, E. Mellios, and J. Zhang, “Overview of millimeter wave communications for fifth-generation (5G) wireless networks — With a focus on propagation models,” IEEE Transactions on Antennas and Propagation, vol. 65, no. 12, pp. 6213–6230, 2017.A. Navarro, D. Guevara, D. Escalante, W. Cruz, J. Gómez, N. Cardona, and J. Gimenez, “Delay spread in mmwave bands for indoor using game engines 3D ray based tools,” in 2016 10th European Conference on Antennas and Propagation (EuCAP), pp. 1–5, 2016.N. R. Leonor, S. Faria, G. Ramos, P. V. G. Castellanos, C. Rodríguez, L. da Silva Mello, and R. F. S. Caldeirinha, “Sitespecific radio propagation model for macrocell coverage at sub-6 GHz frequencies,” IEEE Transactions on Antennas and Propagation, vol. 70, no. 10, pp. 9706–9715, 2022G. Apaydin and L. Sevgi, Radio Wave Propagation and Parabolic Equation Modeling. John Wiley & Sons, 2017.A. Navarro, D. Guevara, and J. Gómez, “A proposal to improve ray launching techniques,” IEEE Antennas and Wireless Propagation Letters, vol. 18, no. 1, pp. 143–146, 2019.I. Wald, W. R. Mark, J. Günther, S. Boulos, T. Ize, W. Hunt, S. G. Parker, and P. Shirley, “State of the art in ray tracing animated scenes,” in Computer graphics forum, vol. 28, no. 6, pp. 1691–1722, 2009.P. Y. Ufimtsev, Fundamentals of the Physical Theory of Diffraction. John Wiley & Sons, 2014.A. Karimian, C. Yardim, P. Gerstoft, W. S. Hodgkiss, and A. E. Barrios, “Refractivity estimation from sea clutter: An invited review,” Radio science, vol. 46, no. 06, pp. 1–16, 2011.S. Wang, T. H. Lim, Y. J. Chong, J. Ko, Y. B. Park, and H. Choo, “Estimation of abnormal wave propagation by a novel duct map based on the average normalized path loss,” Microwave and Optical Technology Letters, vol. 62, no. 4, pp. 1662–1670, 2020.] P. Valtr and P. Pechac, “Tropospheric refraction modeling using ray-tracing and parabolic equation,” Radioengineering, vol. 14, no. 4, pp. 98–104, 2005.——, “Analytic tropospheric ray-tracing model for constant refractivity gradient profiles,” in 2006 First European Conference on Antennas and Propagation, pp. 1–4, 2006.——, “The influence of horizontally variable refractive index height profile on radio horizon range,” IEEE Antennas and Wireless Propagation Letters, vol. 4, pp. 489–491, 2005.P. Zhang, L. Bai, Z. Wu, and L. Guo, “Applying the parabolic equation to tropospheric groundwave propagation: A review of recent achievements and significant milestones.” IEEE Antennas and Propagation Magazine, vol. 58, no. 3, pp. 31–44, 2016.O. Ozgun, G. Apaydin, M. Kuzuoglu, and L. Sevgi, “PETOOL: MATLAB-based one-way and two-way split-step parabolic equation tool for radiowave propagation over variable terrain,” Computer Physics Communications, vol. 182, no. 12, pp. 2638–2654, 2011.A. Navarro, D. Parada, D. Guevara, C. G. Rego, and R. A. Badillo, “Modified two-ray model with UTD and atmospheric effects,” in 2020 14th European Conference on Antennas and Propagation (EuCAP), pp. 1–5, 2020.M. Levy, Parabolic Equation Methods for Electromagnetic Wave Propagation. IET, 2000, no. 45.A. Navarro, D. Parada, D. Guevara, C. G. Rego, R. Oliveira, R. Velásquez, and L. Gomezjurado, “A modified tworay model with UTD and atmospheric effects: Analysis of reflected ray Over sloping terrain,” in 2021 15th European Conference on Antennas and Propagation (EuCAP), pp. 1–4, 2021D. Tami, C. G. Rego, D. Guevara, A. Navarro, F. J. Moreira, J. Giménez, and H. G. Triana, “Analysis of heuristic uniform theory of diffraction coefficients for electromagnetic scattering prediction,” International Journal of Antennas and Propagation, vol. 2018, pp. 1–11, 2018.R. G. Kouyoumjian and P. H. Pathak, “A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface,” Proceedings of the IEEE, vol. 62, no. 11, pp. 1448–1461, 1974.R. Luebbers, “A heuristic UTD slope diffraction coefficient for rough lossy wedges,” IEEE Transactions on Antennas and Propagation, vol. 37, no. 2, pp. 206–211, 1989.F. Akleman and L. Sevgi, “A novel finite-difference time-domain wave propagator,” IEEE Transactions on Antennas and Propagation, vol. 48, no. 5, pp. 839–841, 2000.P. Zhang, L. Bai, Z. Wu, and L. Guo, “Applying the parabolic equation to tropospheric groundwave propagation: A review of recent achievements and significant milestones,” IEEE Antennas and Propagation Magazine, vol. 58, no. 3, pp. 31–44, 2016.ORIGINALA Modified Radiopropagation Multipath.pdfA Modified Radiopropagation Multipath.pdfapplication/pdf1299922https://repositorio.ufps.edu.co/bitstream/ufps/6761/1/A%20Modified%20Radiopropagation%20Multipath.pdf217ea77559c6a39e8524c687055708b3MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/6761/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessTEXTA Modified Radiopropagation Multipath.pdf.txtA Modified Radiopropagation Multipath.pdf.txtExtracted texttext/plain40902https://repositorio.ufps.edu.co/bitstream/ufps/6761/3/A%20Modified%20Radiopropagation%20Multipath.pdf.txt53e6b74fb00557cae232c6373630c610MD53open accessTHUMBNAILA Modified Radiopropagation Multipath.pdf.jpgA Modified Radiopropagation 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GA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