Suppose the received signal at a base station from a transmitted cell phone is modeled byPo,dBm 20 logr< roPR,dBmTo =Po,dBm - 40 log2πhthrXrToTTorz ro2πroPo,dBm = PT,dBm + GT,dB + GR.dB - 20 log Xwith the additional of a log-normal term X with o = 8 dB. The frequency is 880 MHz, and theantenna gains are 0 dB and 10 dB for the cell phone and base station, respectively. The respectiveheights of the cell phone and base station antennas above the ground are 2 m and 15 m. The cellphone transmits 500 mW of power. What is the farthest from the base station that the cell phonecan be and produced a received signal level of -100 dBm, 95% of the time?

Answered: Suppose the received signal at a base…

Suppose the received signal at a base station from a transmitted cell phone is modeled by Po,dBm - 20 log- PR.dBm To Po,dBm- 40 log 2πhthr X To TO r

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Concept explainers

Antenna Characteristics

The antenna is an important concept in the domain of electronics and communication engineering. An antenna forms an integral part of many commonly used devices such as wireless modems, routers, game controllers, mobile phones, bluetooth devices, and so on. In simple terms, any wireless communication makes use of antennas to serve the purpose. An antenna, also known by the term 'arial', is an electrical device that converts electrical signals into electromagnetic waves or electromagnetic waves into electrical signals. An antenna contains a transmission line usually made up of co-axial cable, it then receives the signals and converts them into electromagnetic waves, which are then transmitted via space into their required destination. A communication system essentially makes use of two antennas, a transmission antenna, which converts electrical signals into electromagnetic waves, and a receiving antenna, which receives the electromagnetic waves and converts them back into electrical signals.

Question

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Suppose the received signal at a base station from a transmitted cell phone is modeled by
Po,dBm 20 log
r< ro
PR,dBm
To =
Po,dBm - 40 log
2πhthr
X
r
To
T
To
rz ro
2πro
Po,dBm = PT,dBm + GT,dB + GR.dB - 20 log X
with the additional of a log-normal term X with o = 8 dB. The frequency is 880 MHz, and the
antenna gains are 0 dB and 10 dB for the cell phone and base station, respectively. The respective
heights of the cell phone and base station antennas above the ground are 2 m and 15 m. The cell
phone transmits 500 mW of power. What is the farthest from the base station that the cell phone
can be and produced a received signal level of -100 dBm, 95% of the time?

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