SELF-TIMING REGENERATIVE REPEATERS 



909 



dipulse train would be expected to be smaller than to the random ampli- 

 tude component of the pulse train. It may be regarded as a third compo- 

 nent representing a second order effect resulting from the second com- 

 ponent. 



In the Appendix, this method of superposition has been used as a basis 

 of an analysis of a resonant circuit response to a random binary pulse 

 train. This problem has also been dealt with by somewhat different 

 methods in prior unpublished work by W. R. Bennett and J. R. Pierce, 

 both of Bell Telephone Laboratories. 



In this analysis it is assumed that the regenerated pulses are of suffi- 

 ciently short duration to be regarded as impulses. The response of the 

 resonant circuit to the second and third components above, when taken 

 in relation to that for the first component will, however, remain very 



/-^ 



"vrr^ 



TRANSMITTED 



vr 



RECEIVED 



->^ 



xq: 



X 



/ 



l^-^>.^ 



^dT, ^ 



<-J-, 



\*-6, 



^3\*- 



^3h- 



1 



STEADY STATE 



OR SYSTEMATIC 



COMPONENT 



"7 RANDOM COMPONENT 



1 + 2 



"ON -OFF" PULSE TRAIN 



WITHOUT PULSE 



DISPLACEMENTS 



DIPULSE COMPONENT 



1 + 2 + 3 



"ON -OFF" PULSE TRAIN 



WITH PULSE 



DISPLACEMENTS 



Fig. 7 — Resolution of "on -off" pulse train with timing deviations into sys- 

 tematic component (1), random component (2), and time displacement compo- 

 nent (3). 



