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Evaluación de los modelos de propagación de la seńal móv= il LTE y atenuación por vegetación en la Facultad de Ciencias Pecuarias de la ESPOCH

Evaluation of LTE Mobile Signal Propagation Models and Vegetation Attenuation in the Livestock Department at ESPOCH

= ¹	Cinthia Belén Campoverde Mora =	https://orcid.org/0009-0005-4793-5510
	Carrera de Ingenie= ra en Telecomunicaciones, Escuela Superior Politécnica de Chimborazo (ESPOCH= ), Riobamba, Ecuador. <= ![endif]>cintiadoen@gmail.com
= ²	Mateo Sebastián Benavidez Sisa= lima	https://orcid.org/0009-0007-7133-1543
	Carrera de Ingeniera en Telecomunicaci= ones, Escuela Superior Politécnica de Chimborazo (ESPOCH), Riobamba, Ecuador. <= ![endif]>mateo.benavidez@espoch.edu.ec
= ³	Víctor Hugo Arias Moya	https://orcid.org/0009-0000-5017-2634
	Carrera de Ingenie= ra en Telecomunicaciones, Escuela Superior Politécnica de Chimborazo (ESPOCH= ), Riobamba, Ecuador. <= ![endif]>victorh.arias@espoch.edu.ec
= ⁴	Milton Manuel Torres Torres	https://orcid.org/0009-0008-4597-6310
	Carrera de Ingenie= ra en Telecomunicaciones, Escuela Superior Politécnica de Chimborazo (ESPOCH= ), Riobamba, Ecuador. milton.torres@espoch.edu.ec

=	Artículo de Investigación Científica y Tecnológica Enviado: 12/05/2023 Revisado: 28/06/2023 Aceptado: 01/08/2023 Publicado:30/08/2023 DOI: https://doi.org/10.33262/ap= .v5i3.396

Cítese:		Campoverde Mora , C. B., Benavidez Sisalima, M. S., Arias Moya, V. H., & Torres Torres, M. M. (2023). Evaluación de los modelos de propagación de la seńal móvil LTE y atenuación por vegetación en la Facultad de Ciencias Pecuaria= s de la ESPOCH. AlfaPublicaciones, 5(3), 167–184. https://doi.org/10.33262/ap= .v5i3.396
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Palabras claves: Modelos de propagación, recepción de potencia, atenuación, tecnología LTE, factor de corrección<= /p>		Resumen Introducción: Los modelos de propagación predicen la pérdida de potencia, o información, en= tre una antena transmisora (Tx) y una antena receptora (Rx). Los datos de potencia de recepción en una zona específica se pueden medir empíricament= e, de esta forma se pueden realizar comparaciones y encontrar los modelos que mejor se ajusten a los datos reales medidos. Objetivo: Comparar los modelos de propagación Okumura-Hata, Ericsson 9999 y SUI con mediciones de potencia de recepción obtenidas empíricamente en una antena LTE, para con= ocer el mejor modelo de predicción, en las áreas abiertas de la Facultad de Ciencias Pecuarias de la Escuela Superior Politécnica de Chimborazo. M= etodología: Enfoque cuantitativo, analítico y racionalista. Investigación científ= ica de campo; recolectando datos empíricos. Resultados: El modelo SUI muestra una tendencia exponencial en la predicción de perdida de potencia, mientras que los modelos Okumura-Hata y Ericsson 9999 no muestran una tendencia en particular, debido a que estos están condicionados de acuerdo con la atenuación por vegetación presente en la zona. Conclusión: = El modelo urbano Okumura-Hata con atenuación de la vegetación es el más adec= uado para predecir las pérdidas de potencia en las zonas abiertas de la Facult= ad de Ciencias Pecuarias de la ESPOCH. Área de estudio general: Telec= omunicaciones. Área de estudio específica: Propagación de ondas.
Keywords: Propagation models, power reception, attenuation, LTE technology, correction factor		Abstract Introduction: Propagation models predict the power, or information, loss between a transmitting antenna (Tx) and a receiving ant= enna (Rx). The receive power data in a specific area can be measured empirical= ly, so that comparisons can be made, and models can be found that best fit the actual measured data. Objective: To compare the Okumura-Hata, Eric= sson 9999 and SUI propagation models with empirically obtained reception power measurements in an LTE antenna, to know the best prediction model in the = open areas of the Departament of Livestock Sciences of the Escuela Superior Politécnica de Chimborazo. Methodology: Quantitative, analytical, = and rationalistic approach. Scientific field research; collecting empirical d= ata. Results: The SUI model shows an exponential trend in the predictio= n of power loss, while the Okumura-Hata and Ericsson 9999 models do not show a particular trend, because they are conditioned according to the attenuati= on by vegetation present in the area. Conclusion: The Okumura-Hata ur= ban model with vegetation attenuation is the most adequate to predict power losses in the open areas of the Departament of Livestock Sciences of ESPO= CH.

&n= bsp;

Introducción<= /b>

El ser humano desde su origen ha buscado una forma de transmitir ideas, y a lo largo de la historia la comunicación entre las personas ha evolucionado a la par con la tecnología.= Hoy en día, las telecomunicaciones son un factor crucial y la base fundamental = para estar siempre conectados, especialmente las comunicaciones móviles.

Ecuador ha crecido en el campo de = las telecomunicaciones, según reportes del Instituto Nacional de Estadísticas y Censos (INEC, 2022), en 2022 el 52,2% de las personas tenían un teléfono celular inteligente, y un 69,7% utilizaban internet. Debido a esto, es importante que se realicen investigaciones sobre la recepción y transmisión= de seńales que llevan la información de un lugar a otro, a través de sistemas = de radiocomunicaciones.

El término "comunicaciones móviles" se puede describir como “cualquier enlace de radiocomunicación entre dos terminales, al menos uno de los cuales está en movimiento, o para= do, pero en ubicaciones indeterminadas, siendo el otro un terminal fijo, como u= na estación base” (López, 2000, p. 27).

Para recibir o emitir seńales de r= adio a través de un medio aéreo se necesitan antenas. “Una antena transmisora transforma las corrientes eléctricas en ondas electromagnéticas, y una ante= na receptora realiza la función inversa” (Huidobro, 2013). Las antenas transmi= soras tienen una frecuencia de transmisión específica, que depende de la generaci= ón de la red móvil. Hoy en día existen generaciones denominadas 1G, 2G, 3G, 4G= y 5G. La red móvil 4G (LTE) es la más utilizada, aunque en el futuro la tecnología 5G podría sustituirla, ya que según Pérez (2020) “habilitará la subida y baja de archivos más rápida, el uso de apps de realidad aumentada y trabajos a distancia que requieren precisión, como la conducción de vehícul= os a distancia”.

Para Solís (2016) “la tecnología L= TE (Long Term Evolution, 4G) brinda mejora en la transferencia de datos de internet en los dispositivos móviles, ofrece una conectividad 10 veces mayo= r a su antecesora 3.5G” (p. 3). Es decir, está diseńada para proporcionar una a= lta tasa de datos y optimización de paquetes. Si se desea conocer la potencia recibida en nuestro dispositivo móvil, se puede hacer uso de la aplicación Network Cell Info Lite, la cual “permite comprobar la cobertura que se está recibiendo en el dispositivo. Cubre todas las redes celulares incluyendo LT= E, HSPA+, HSPA, WCDMA, EDGE, GSM, CDMA, EVDO” (De Luz, 2017), es decir, nos muestra la potencia recibida de la seńal de referencia (RSRP) respecto a la antena transmisora.

Por otra parte, la transmisión de seńales a través de la atmósfera presenta distintos tipos de pérdidas de potencia, a estas pérdidas se las llama atenuaciones. Estas atenuaciones se= dan debido a la cantidad y el tipo de vegetación, la nieve, la lluvia y otros fenómenos naturales, cada factor es una contribución a la atenuación. Según= la recomendación de la ITU-R P.530-13 (International Telecommunication Union, = 2009), “cada una de estas contribuciones tiene sus características propias en func= ión de la frecuencia, la longitud del trayecto y la ubicación geográfica” (p. 3= ). Las pérdidas de información son inevitables, y por esto se debe tener en cuenta= los factores antes enunciados.

Si se busca conocer una predicción acerca de las pérdidas de potencia, se hace uso de los modelos de propagaci= ón. “Un modelo de propagación es un conjunto de expresiones matemáticas, diagra= mas y algoritmos usados para representar las características de radio de un ambiente dado” (Vidal-Beltrán et al. 2017, p. 4). En otras palabras, son ecuaciones matemáticas que predicen las pérdidas de potencia en el trayecto= de enlace entre una antena transmisora y una antena receptora. Algunos de los modelos de propagación más conocidos son: Log-Distancia, Okumura-Hata para entornos urbanos y rurales, Walfish- Bertoni, modelo SIU, etc. Todos estos utilizan datos como frecuencia, distancia, obstáculos en el medio, entre ot= ros.

Para determinar si un modelo es adecuado para predecir las pérdidas de potencia en una zona determinada, de= ben realizarse comparaciones entre diferentes modelos y elegir el ideal. Este t= ipo de análisis ha sido realizado en varios estudios (Bayas, 2022; Andy et al.,= 2022), para diferentes sectores de la ciudad de Riobamba, con la operadora móvil CLARO.

En este artículo se realiza un análisis comparativo entre los resultados obtenidos aplicando los modelos de propagación y los datos reales medidos empíricamente en los alrededores de = la Facultad de Ciencias Pecuarias de la Escuela Superior Politécnica de Chimborazo (ESPOCH), en la ciudad de Riobamb= a; en donde se han considerado los siguientes factores: tipo de área, tipo de cobertura (LTE), potencia medida, atenuación por vegetación y distancia ent= re la estación base y la estación móvil.

Marco Teórico

Los modelos de propagación predicen las pérdidas de seńal que pueden producirse entre una estación base y un receptor, ya sea móvil o fijo. Para calcular estas pérdidas, se debe conocer las características de la entre el transmisor (Tx) y el receptor (Rx).

Modelo Okumura-Hata

Basándose en los estudios de Okumu= ra, el modelo de propagación inicial de Hata se modificó proponiendo el uso de = un factor de corrección de las pérdidas de trayecto definido a partir del "tamańo" de la ciudad, la frecuencia y el tipo de zona: urbana, suburbana o rural (Sosa-Pedroza et al., 2010).

Las pérdidas de propagación en un entorno urbano se determinan a partir de la ecuación:

(1)

Donde,

       = = : frecuencia de trabajo=

       = = : altura de la antena emisora<= /span>

       = = : altura de la antena receptora

     = : Distancia entre Tx y Rx

       = = : factor de corrección<= /p>
Para una ciudad pequeńa o mediana, el factor de corrección es:=

(2)

y para una gran ciudad, viene dada por,

para =

(3)

para =

(4)

Modelo Ericsson 9999<= /b>

“Este modelo fue desarrollado por = la compańía Ericsson, para el direccionamiento de redes; es una extensión del modelo de Hata. Hace un ajuste en parámetros de acuerdo con el escenario en= que se esté aplicando el modelo” (Jiménez y Morán, 2018, p.19). Este model= o se utiliza para frecuencias superiores a 1900 MHz.

Las pérdidas de trayect= o se describen de la siguiente manera:

(5)

El factor de corrección

(6)

Donde,

       = = : frecuencia de trabajo=

       = = : altura de la antena emisora<= /span>

       = = : altura de la antena receptora

     = : Distancia entre Tx y Rx

       = = : Factor de corrección<= /p>
En la Tabla 1 se descri= ben los diferentes coeficientes para las distintas zonas:

Tab= la 1

Parámetros para diferentes zonas del modelo Ericsson 9999

Parámetros

Urbano

Suburbano

Rural

a1

36.2=

43.20

45.95

a2

30.2=

68.93

100.6

a3

-12<= /span>

-12<= /span>

-12<= /span>

a4

0.1<= /span>

0.1<= /span>

0.1<= /span>

Fuente: Jiménez & Morán (2018)

Modelo SUI

Para calcular la pérdida de propagación básica, el modelo SUI propone agrupar los escenarios de propaga= ción en tres categorías diferentes, cada una con sus propias características (Shabbir et al., 2011, p. 28):

·         Categoría a: terreno montańoso con niveles de vegetación medios y altos, correspondientes a condiciones de alta pérdidas.=

·         Categoría b: terreno montańoso con niveles b= ajos de vegetación, o zonas llanas con niveles medios y altos de vegetación. Niv= el medio de pérdidas.

·         Categoría c: zonas llanas con muy baja o nula densidad de vegetación. Corresponde a trayectos en los que las pérdidas son bajas.

La ecuación de pérdidas del trayec= to se expresa como:

(7)

Los valores de los parámetros dados por,

(8)

(9)

(10)

Zona urbana y suburbana,

(11)

Zona rural,

(12)

El valor de los parámetros para la= s 3 categorías diferentes se indica en la Tabla 2:

Tab= la 2

Parámetros para diferentes categorías. Modelo SUI

Parámetros

Categoría a

Categoría b

Categoría c

a

4.6<= /span>

4.0<= /span>

3.6<= /span>

b

0.0075

0.0065

0.005

c

12.6=

17.1=

20

Fuente: Shabbir et al. (2011)

Atenuación por vegetación=

La vegetación puede provocar una atenuación en la seńal de radio que la atraviesa, esto se da en función del tipo de especie y de la densidad de la vegetación. En ciertos casos, la atenuación debida a la vegetación puede ser importante, tanto para los sist= emas terrenales como para los sistemas Tierra-espacio. Pero la gran diversidad de condiciones y tipos de follaje dificultan la elaboración de un procedimient= o de predicción general (International Telecommunication Union, 2021). En genera= l y de la forma más básica, existen dos tipos de pérdidas debidas a la vegetaci= ón.

Perdida de vegetación frondosa:

(13)

Perdida de vegetación con pocas ho= jas:

(14)

Donde, f es la frecuencia de trabajo en MHz y d es la longitud del camino a través de la copa del árbol en metros.

PIRE

“La potencia radiada equivalente (PIRE) es la combinación de la potencia generada por el transmisor y la capacidad de la antena para concentrar esa potencia en una dirección determinada” (Wolff, s.f.).

La PIRE puede calcularse a partir = del campo eléctrico con la siguiente ecuación (International Telecommunication Union, 2019, p. 2).

(15)

Donde, e es el campo eléctr= ico dado en v/m en un punto dado z, y d, en metros, es la distancia en= tre Tx y z.

Metodología

El área de estudio está ubicada en= la zona noroeste de la ciudad de Riobamba, específicamente en la Facultad= de Ciencias Pecuarias de la ESPOCH. Las mediciones de potencia se realizaron en una torre de cobertura LTE, de la red TUENTI. Para conocer la RSRP se utilizó la aplicación "Network Cell Info", figura 1.

Fig= ura 1

Aplicación "Netw= ork Cell Info"

=

La radio base LTE TUENTI está ubic= ada en la Av. Gregorio Bobadilla, Riobamba, como se observa en la figura 2.

Fig= ura 2

Radio base TUENTI LTE 1940MHz

<= span style=3D'font-size:12.0pt;line-height:107%;font-family:"Cambria Math",serif; mso-fareast-font-family:"Times New Roman";mso-bidi-font-family:"Times New R= oman"; color:black;mso-themecolor:text1;mso-bidi-language:SI-LK'>                                        <= /span>

Además, la tabla 3 muestra las características de la estación base LTE y su ubicación obtenida por medio de Google Maps.

Tab= la 3

Características de la radio base

Parámetros

Estimación

Tecnología

LTE

Operador Móvil

TUIENTI

Banda

2

Frecuencia

1940MHz

Altura

20m

Latitud

1°39’23.07”S<= /o:p>

Longitud

78°40’49.30”O=



Para delimitar la zona de análisis= se utilizó la herramienta digital Google Earth. La zona abarca 9,54 hectáreas y tiene un perímetro de 1,54 km. Posteriormente, para recoger los datos de potencia recibida, se trazaron círculos concéntricos alrededor de la antena transmisora. El primer círculo se situó a una distancia de 63,96 metros, y = los siguientes círculos se colocaron con una separación de 27 metros entre ello= s. El último círculo se situó a 549,17 metros. En total, se obtuvieron 19 círc= ulos concéntricos, como se ilustra en la figura 3.

Fig= ura 3

Radios alrededor de la antena

<= /span>        =

A continuación, se establecieron puntos de medición dentro de cada uno de los círculos concéntricos, con una distancia aproximada de 17 metros entre puntos. En total, se obtuvieron 170 puntos de localización para medir la potencia de recepción, véase en la fig= ura 4.

Fig= ura 4

Puntos de medición

<= /span>

Las mediciones se realizaron en tr= es días diferentes, por la mańana y a la misma hora (7:00 a 9:00) para tener d= atos más precisos. Las condiciones meteorológicas fueron constantes (tiempo despejado). La tendencia media de la potencia recibida se visualiza en la f= igura 5.

Fig= ura 5

Potencia media (RSRP)=

Como se observa en la figura 5, la RSRP (potencia recibida de la seńal de referencia) disminuye a medida que aumenta la distancia. Para la primera distancia de 63,99 m, la potencia es = de 65,33 dBm, y para el punto más lejano a 549,17 m la potencia es de 101,67 d= Bm, resultando una pérdida de potencia total de 37,7 dBm.

Posteriormente, se utilizó el equi= po Narda SRM-3006 para medir el campo eléctrico irradiado por la antena (figur= a 6). Se analizó en el ancho de banda de 1,9 GHz a 2 GHz, en la frecuencia de 1,9= 40 GHz. El equipo fue proporcionado por la universidad ESPOCH, Riobamba, Ecuad= or.

Fig= ura 6

Medición de la intens= idad del campo eléctrico. Narda SRM-3006

=    =

Se obtuvo la intensidad del campo eléctrico y utilizando (15), se calculó la PIRE, el resultado encontrado es= el siguiente: a una distancia de 142 metros se tiene una intensidad de campo eléctrico media de 0.5 v/m, por ende, el PIRE es de 52 dBm.

Por otro lado, debido a la gran cantidad de vegetación existente en la zona, la atenuación por la vegetació= n se calculó con (14), y se obtuvieron los resultados que figuran en la tabla 5.=

Tab= la 4

Cálculo de pérdidas p= or vegetación

R= adio

L= ongitud del camino (m)

P= érdidas de vegetación (dB)

1

1

15.51<= /span>

2

1

15.51<= /span>

3

1

15.51<= /span>

4

1

15.51<= /span>

5

1

15.51<= /span>

6

1

15.51<= /span>

7

2

18.57<= /span>

8

2

18.57<= /span>

Tab= la 5

Cálculo de pérdidas p= or vegetación (continuación)

<= span style=3D'font-size:10.0pt;line-height:115%'>Radio

<= span style=3D'font-size:10.0pt;line-height:115%'>Longitud del camino (m)<= /o:p>

<= span style=3D'font-size:10.0pt;line-height:115%'>Pérdidas de vegetación (dB)

9

2

18.57<= /span>

10

2

18.57<= /span>

11

2

18.57<= /span>

12

2

18.57<= /span>

13

3

20.63<= /span>

14

3

20.63<= /span>

15

3

20.63<= /span>

16

3

20.63<= /span>

17

3

20.63<= /span>

18

3

20.63<= /span>

19

3

20.63<= /span>

Resultados

La aplicación de los tres modelos = de propagación propuestos anteriormente arrojó los resultados que se observan = en la figura 7. En el modelo Okumura-Hata, se seleccionó la ecuación para zonas urbanas (1), junto con el factor de corrección para ciudades pequeńas o medianas (2), ya que la zona de estudio contiene edificios y estructuras considerados típicos de una ciudad pequeńa. La figura 7 muestra que la tendencia de la curva de este modelo es similar a la de los datos medidos empíricamente a partir de 150 metros.

Para el modelo Ericsson 9999, se utilizaron los parámetros designados para zonas urbanas en la tabla 1, y se asignaron a (5) junto con un factor de corrección (6). El comportamiento de este modelo se ajusta a los puntos de datos comprendidos entre 63,96 metros= y 549,17 metros, lo que demuestra claramente su capacidad para pronosticar las pérdidas de potencia más elevadas.

En el modelo SUI se consideró la categoría b de la tabla 2, ya que se trata de una zona llana con un nivel moderado de vegetación. El factor de corrección para zonas urbanas (11) se colocó en (7) para obtener las pérdidas de trayecto. Este modelo comienza de forma bastante similar al modelo urbano Okumura-Hata, pero a medida que aum= enta la distancia, ambos modelos divergen significativamente. La curva es exponencial y es probable que, para distancias mayores, no sea el mejor mod= elo para predecir las pérdidas de potencia reales entre los enlaces.

Fig= ura 7

Modelos de propagació= n

Además, se ańadió una atenuación debida a la vegetación a las ecuaciones de pérdida de potencia de los model= os urbanos Okumura-Hata y Ericsson 9999. Esto era necesario porque la zona del Departamento de Ganadería tiene un gran número de árboles, por lo que era importante incluir esta pérdida. En el modelo SUI no se ańadió este parámet= ro, ya que las zonas boscosas ya se consideraban en la categoría para el cálcul= o de la pérdida de potencia. Para calcular la atenuación de la vegetación, se utilizó la Tabla 5 y se consideró que los primeros 6 radios de análisis ten= ían menor densidad de vegetación que los radios siguientes, y que los radios 13= a 19 tenían mayor densidad de vegetación. Por eso las curvas de los dos prime= ros modelos no son completamente exponenciales.

Por último, se aplicó el error cuadrático medio (RMSE) a los resultados obtenidos con cada modelo de propagación para determinar el modelo que mejor se ajusta a las mediciones realizadas. La tabla 6 muestra que el modelo Okumura-Hata Urbano con atenua= ción de la vegetación presenta el menor valor de RMSE.

Tab= la 6

RMSE

Modelo

Okumura-Hata Urbano<= o:p>

Ericsson 9999

SUI

<= span style=3D'font-size:10.0pt;line-height:150%'>RMSE

<= span style=3D'font-size:10.0pt;line-height:150%'>10.177

<= span style=3D'font-size:10.0pt;line-height:150%'>11.98

<= span style=3D'font-size:10.0pt;line-height:150%'>11.35

Conclusiones

·         Tras analizar los tres modelos de propagació= n, se concluyó que el modelo Okumura-Hata urbano con atenuación por vegetación, con un RSME de 10.177, es el más adecuado para predecir las pérdidas de potencia en las zonas abiertas de la Facultad de Ciencias Pecuarias de la ESPOCH. Además, este modelo proporciona una mejor aproximación a partir de = los 150 metros alrededor de la estación base. Por lo tanto, se sugiere que en futuras investigaciones se considere la aplicación de un factor de correcci= ón para distancias más cortas. Finalmente, se confirmó que las pérdidas por ve= getación son un parámetro significativo para analizar diversos modos de propagación e impactan en gran medida la potencia de recepción desde una antena de 20 met= ros de altura hasta un receptor de 1.5 metros.

Conflicto de intereses

Los autores certifican q= ue no existe conflicto de intereses en el artículo “Evaluación de los modelos = de propagación de la seńal móvil LTE y atenuación por vegetación en la Faculta= d de Ciencia Pecuarias de la ESPOCH”.

Referencias Bibliográficas

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Bayas, N. E. (2022). Comparación de modelos de propagación de radio en cinco celdas de cobertura LTE en Riobamba. Riobamba: Revista de Investigaci= ones en Energía Medio Ambiente y Tecnología RIEMAT ISSN 2588-0721. https://www.researchgate.net/publication/372042127_Comp= arison_of_radio_propagation_models_in_five_LTE_coverage_cells_in_Riobamba

De Luz, S. (2017, julio29). Network Cell Info Lite: Una aplicación para v= er las estadísticas de tu red móvil. https://www.redeszone.net/2017/07/29/network-cell-info-lite-una-aplicacio= n-ver-las-estadisticas-red-movil/

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International Telecommunication Union. (2021). Tenuación debida a la vegetación. Unión internacional de telecomunicaciones. Recomendación ITU-R P.833-10. https://www.itu.int/dms_pubrec/itu-r/rec/p/R-REC-P.833-10-202109-I!!PDF-S= .pdf

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Jiménez Silva, Rogger Daniel., & Morán Andrade, Karen Roxana. (2018). Dise= ńo de modelo de propagación de una red inalámbrica WIFI en 5GHz [Tesis de pregrado, Escuela Politécnica de Litoral, Guayaquil, Ecuador]. https://www.dspace.espol.edu.ec/retrieve/132244/D-CD106670.pdf=

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Pérez, D. (2020, junio 23). Del 1G al 5G, żcuáles son las diferencias entre l= as redes? https://dplnews.com/del-1g-al-5g-cuales-son-las-diferencias-entre-las-red= es/

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Vidal-Beltrán, S., Degollado-Rea, E. A., & López-Bonilla, J. L. (2017). Modelo de propagación simplificado para LTE en la frecuencia de 2.1GHz. Nova Scientia, N.ş 19, 9 (2), 83 – 96. https://www.scielo.org.mx/pdf/ns/v9n19/= 2007-0705-ns-9-19-00083.pdf

Wolff, C. (2023). Potencia isotrópica radiada equivalente (PIRE). https://www.radartutorial.eu/08.transmitters/tx57.es.html

El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento = de la Revista Alfa Publicaciones.

<= o:p>

<= br clear=3Dall style=3D'mso-special-character:line-break'>

El artículo queda en propiedad d= e la revista y, por tanto, su publicación parcial y/o total en otro medio tiene = que ser autorizado por el director de la Revista Alfa Publicaciones.

=

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Parámetros	Urbano	Suburbano	Rural
a1	36.2=	43.20	45.95
a2	30.2=	68.93	100.6
a3	-12<= /span>	-12<= /span>	-12<= /span>
a4	0.1<= /span>	0.1<= /span>	0.1<= /span>

Parámetros	Categoría a	Categoría b	Categoría c
a	4.6<= /span>	4.0<= /span>	3.6<= /span>
b	0.0075	0.0065	0.005
c	12.6=	17.1=	20

Parámetros	Estimación
Tecnología	LTE
Operador Móvil	TUIENTI
Banda	2
Frecuencia	1940MHz
Altura	20m
Latitud	1°39’23.07”S<= /o:p>
Longitud	78°40’49.30”O=

R= adio	L= ongitud del camino (m)	P= érdidas de vegetación (dB)
1	1	15.51<= /span>
2	1	15.51<= /span>
3	1	15.51<= /span>
4	1	15.51<= /span>
5	1	15.51<= /span>
6	1	15.51<= /span>
7	2	18.57<= /span>
8	2	18.57<= /span>

<= span style=3D'font-size:10.0pt;line-height:115%'>Radio	<= span style=3D'font-size:10.0pt;line-height:115%'>Longitud del camino (m)<= /o:p>	<= span style=3D'font-size:10.0pt;line-height:115%'>Pérdidas de vegetación (dB)
9	2	18.57<= /span>
10	2	18.57<= /span>
11	2	18.57<= /span>
12	2	18.57<= /span>
13	3	20.63<= /span>
14	3	20.63<= /span>
15	3	20.63<= /span>
16	3	20.63<= /span>
17	3	20.63<= /span>
18	3	20.63<= /span>
19	3	20.63<= /span>

Modelo	Okumura-Hata Urbano<= o:p>	Ericsson 9999	SUI
<= span style=3D'font-size:10.0pt;line-height:150%'>RMSE	<= span style=3D'font-size:10.0pt;line-height:150%'>10.177	<= span style=3D'font-size:10.0pt;line-height:150%'>11.98	<= span style=3D'font-size:10.0pt;line-height:150%'>11.35