900 



THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1953 



Siiice the derived transmission function F, equation (7), does not 

 satisfy the condition expressed by (9), the function must be modified in 

 order to provide a shunt condenser in Z\. To accomplish this we use 

 equation (5) expressed as a bi-Unear form of the nth term of the con- 

 tinued fraction expansion. 



FiZ') 



N^{Z') + KnN2{Z') 



(10) 



The coefficient Kn is modified so that the new F(p) satisfies equation (9). 

 The modification of K„ does not substantially alter the required in- 

 band transmission and also does not produce non-physical singularities 

 The new F obtained is 



F{p) = 



(p + 0.0289)(p + 0.1018)(p + 0.3431)(p + 1-017 =b i 1.628) (H) 

 (p + 0.0310)(p + 0.1132)(p + 0.4426)(p + 0.6158 ± i 1.368) 



1.58 AtH 



6.73/iljuF 



26.tAH 



-nm^ — I 



:^2jx/j.F 



t9l.6MH 



«66.2>u.H 



2 e3.9/i H 



2608n 



2072 a 



♦-AAA- 



3229a 



76.8/a/iF 



183/i/ctF 



675.8a 



I— vw- 



55.9 fjbfiF 



738.8 a 



3.7/iH 1035 a 



"-^MT^AAArrAAAr-f 



57.47 a 



I 



44.7/i/xF 



i-- 



Fig. 11(b) — Regulating network schematic. 



