DISTORTION CORRECTION 



499 



With the above fixed values of the coefficients and formulae (77), (78), 

 (80), and (82), the network can be constructed which is to simulate 

 any smooth line having physically realizable Za and z^. This simula- 



(Broken lines indicate the other series and lattice branches, respectively identical.) 



Ri = miR'l, 

 Lz = miL'l, 

 i?6 = l/m2G'l, 

 Ci = niiC'l, 

 OTi = .45737, 



Ri = \lm,G'l, 

 d = miC'l, 

 Ri = miR'l 

 Ls = niiL'l, 

 W2 = .14456, 



i?i' = m.'R'l, 



Lz = mi'L'l, 



R,' = l/nii'G'l, 



C^' = mzC'l, 



mi = .04263, 



Rt' = l/nti'G'l, 

 Ci = mi'C'l, 

 Rs' = nti'R'l, 

 L/ = mi'L'l, 

 Mi' = .92403. 



Fig. 23 — Artificial smooth line which simulates a moderate length, /, of line 

 having the primary constants R', L', G', and C per unit length. (If R' = G' = 0, 

 it becomes a non-dissipative phase network whose time-of-phase-transmission at the 

 lower frequencies has the constant value, Tp = VL'C/.) 



tion is very accurate for small values of y. As y increases, the de- 

 parture of the network propagation characteristic from the smooth 

 line values also increases, but it amounts to less than 1.4 per cent 

 even at \y\ = 3.0, as may be derived from a comparison of (83) 

 and (85). 



As an illustration of this type of design, these results were analyt- 

 ically applied to the case of a 104-mil open-wire smooth line having 

 the constants per loop mile (for wet weather, and assumed independent 

 of frequency). 



R' = 10.12 ohms; 



G' = 3.20 micromhos; 



L' = 3.66 mh.; 

 C = .00837 mf. 



The corresponding simulating network for a length / is shown struc- 

 turally in Fig. 23, where 



