Homework 1 1. The following table lists a set of empirical path loss measurements. Assume a carrier frequency fc = 2 GHz. Distance from transmitter P/Pt 5 m 60 dB 25 m -80 dB 65 m -105 dB 110 m -115 dB 400 m 135 dB 1000 m -150 dB a. Find the parameters of a single-slope path loss model plus log-normal shadowing that best fit this data assuming K is calculated from free-space path loss at the reference distance dr = 1 m. b. Find the path loss at 2 km based on this model. c. Find the outage probability at a distance d assuming the received power at d due to path loss alone is 10 dB above the required power for non-outage.

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Homework 1
1. The following table lists a set of empirical path loss measurements. Assume a carrier
frequency fc = 2 GHz.
Distance from transmitter Pr/Pt
5 m
60 dB
25 m
80 dB
65 m
-105 dB
110 m
-115 dB
400 m
135 dB
1000 m
-150 dB
a. Find the parameters of a single-slope path loss model plus log-normal shadowing
that best fit this data assuming K is calculated from free-space path loss at the
reference distance dr = 1 m.
b. Find the path loss at 2 km based on this model.
c. Find the outage probability at a distance d assuming the received power at d due
to path loss alone is 10 dB above the required power for non-outage.
Transcribed Image Text:Homework 1 1. The following table lists a set of empirical path loss measurements. Assume a carrier frequency fc = 2 GHz. Distance from transmitter Pr/Pt 5 m 60 dB 25 m 80 dB 65 m -105 dB 110 m -115 dB 400 m 135 dB 1000 m -150 dB a. Find the parameters of a single-slope path loss model plus log-normal shadowing that best fit this data assuming K is calculated from free-space path loss at the reference distance dr = 1 m. b. Find the path loss at 2 km based on this model. c. Find the outage probability at a distance d assuming the received power at d due to path loss alone is 10 dB above the required power for non-outage.
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