516 



BELL SYSTEM TECHNICAL JOURNAL 



Network Za 



iM/3 



Rn = 



laottiR 



L, 



ai^R 



Gibo — ao ' Tr{aibo — ao) 



RuRii = L12/C22 = RisRis = R^. 



IE p„ 4. f2 



Rr., = 2aiR. 



Qo + Q2P 



Attenuation Linear Equation: 



-Po+ FQo+fFQ^ =P. 

 In physical solutions = (2o = -fo; ^ Q^ = \. 

 If Qq < P0Q2 {A decreases with frequency): 



60 J 1 _ V^ ' 



1'. ao\ ^ VFoT VS 

 bo 



ai 



ai = 



1 +V(22 



1 - V(22 



1 +v^ 



1 - V<22 ' ' 1 - V^ 



If (2o > PoQi {A increases with frequency) : 



1 - V^ 



2. ao\ ^ VPo T V^o 

 60 



fl] = 



1 + V^ ' 



2'. Same formulae as in 1'. 

 If (3o = PoQi, F = I/Q2 (A is constant). 



2{aibo — ao)f 



1 + vs 



// = tan 5 = 



(60'^ - ao') + (1 - a,')P 



