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6.1 FriisPropagationLossModel


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6.1.1 Model reference

From source: Wireless Communications-Principles and Practice ,Theodore S Rappaport pg. 71

Given equation:

 
Pr = Pt*Gt*Gr*lmb^2/((4*pi)^2*d^2*L)

Pt = 10^(17.0206/10)/10^3 = .05035702 
Pr = .05035702*.125^2/((4*pi)^2*d*1) = 4.98265e-6/d^2

bandwidth = 2.2*10^7 
m_noiseFigure = 5.01187 
noiseFloor = ((Thermal noise (K)* BOLTZMANN * bandwidth)* m_noiseFigure) 
noiseFloor = ((290*1.3803*10^-23*2.2*10^7)*5.01187) = 4.41361e-13W 
no interference, so SNR = Pr/4.41361e-13W

Distance  ::  	Pr		::	SNR 
100		4.98265e-10W		1128.93 
500		1.99306e-11W		45.1571 
1000		4.98265e-12W		11.2893 
2000		1.24566e-12W		2.82232 
3000		5.53628e-13W		1.25436 
4000		3.11416e-13W		0.70558 
5000		1.99306e-13W		0.451571 
6000		1.38407e-13W		0.313591 

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6.1.2 Validation test

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

Taken with values (lambda = 0.125m for 802.11b at 2.4GHz, SystemLoss = 1):

 
Distance   ::   Pr		    
100		4.98265e-10W		
500		1.99306e-11W		
1000		4.98265e-12W		
2000		1.24566e-12W		

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6.1.3 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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