272 BELL SYSTEM TECHNICAL JOURNAL 



CONTINUED FRACTIONS 



^= fl<P)+ , / T 



f2<P> fj'P) + 



1 I 

 f4(p) 



vVW 

 fi(p) 



I — vVW — I — W 



<f2(P) <f4(p) 



vWV — 

 (p) 



A mathematical method of systematically designing a circuit of predetermined 

 impedance has been developed in Bell Telephone Laboratories. The given 

 impedance, as a function of frequency, is expanded in a Stieltjes continued 

 fraction, whose terms give the electrical constants of the desired network. 



