ADVANCES IN CARRIER TELEGRAPH TRANSMISSION 



205 



the other hand /2 will not exceed tt/oj as E approaches infinity. Hence, 

 if from equation (10) we obtain corresponding pairs of ti and /2 by 

 substituting values of ti ranging from 00/2 = to w/2 = tt and solving 

 for /i, we may substitute the pairs of values so obtained in (9), thereby 

 arriving at a relation between E and ti. Corresponding pairs of these 

 two latter quantities can finally be substituted in (3) thus obtaining 

 a relation between E and Qi/C. 



From (lb) we may express the departure from perfect compensation 

 as a voltage A V which would have to be added to the condenser voltage 

 to bring about this ideal condition. Viz: 



2^2 



c ' 



(11) 



By inserting corresponding values of E and Qi/C, as obtained in the 

 preceding paragraph, the precision of compensation obtained with 

 any given set of parameters may be calculated. 



(A) 



^ . positive 

 H_Lgrid 



d' RECEIVING 

 RELAY 

 OPERATES 



. positive 

 4l grid 



\d' RECEIVING 

 RELAY 

 OPERATES 



Fig. 27 — Function of level-compensator relay. A. Square signal. 

 B. Rounded signal. 



Signaling Condition 



Figure 27^1 shows the form which the received signals would have 

 if the transfer admittance of the circuit were independent of fre- 

 quency. If the level compensator consisted only of the simple 

 condenser-resistance circuit shown in Fig. 25^1, a large part of the 



