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6.2 LogDistancePropagationLossModel


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6.2.1 Model reference

From source: Urban Propagation Measurements and Statistical Path Loss Model at 3.5 GHz, Marcus C. Walden, Frank J. Rowsell

Given equation:

 
PL{dBm} = PL(d0) + 10*n*log(d/d0) + Xs

PL(1) from friis at 2.4GHz: 40.045997dBm
PL{dBm} = 10*log(.050357/Pr) = 40.045997 + 10*n*log(d) + Xg 
Pr = .050357/(10^((40.045997 + 10*n*log(d) + Xg)/10))

bandwidth = 2.2*10^7 
m_noiseFigure = 5.01187 
no interference, so SNR = Pr/4.41361e-13W 
taking Xg to be constant at 0 to match ns-3 output:
Distance   ::   Pr 		::	SNR
10		4.98265e-9		11289.3 
20		6.22831e-10		1411.16 
40		7.78539e-11		176.407 
60		2.30678e-11		52.2652 
80		9.73173e-12		22.0494 
100		4.98265e-12		11.2893 
200		6.22831e-13		1.41116 
500		3.98612e-14		.090314 
1000		4.98265e-15		.011289

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6.2.2 Validation test

Test program available in ns-3 at src/devices/wifi/propagation-loss-model-test-suite.cc

Taken at default settings (exponent = 3, reference loss = 46.6777, 802.11b at 2.4GHz)

 
Distance   ::   Pr		
10		4.98265e-9		
20		6.22831e-10		
40		7.78539e-11		
80		9.73173e-12		

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6.2.3 Discussion

As can be seen, the received power outputted from the model, and the power computed from the source’s equation are identical. The test suite tests the expected value to the most significant digit of the input expected value.


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