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
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
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e18a88-13ba-47d2-8c84-ec9d29397d2a%2Ff87aa1ea-c9e5-4de2-a84d-9b48b651bf96%2Fka763gp_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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