SELF-TIMING REGENERATIVE REPEATERS 



903 



The triggering instants ^o are obtained from the relation 



P{to) + Rito) = L. 



(3.6) 



With complete retiming the optimum performance, with positive and 

 negative noise amplitudes of cfjual probabilities, is obtained with a 

 triggering level ^. With partial retiming, optimum performance is ob- 

 tained with a somewhat lower triggering level, but this is of secondary 

 importance in connection with the present analysis. For this reason 

 L = ^ is assumed, in which case the following equation is obtained for 

 determination of ^o : 



TT to , 



cos - ^ — COS \p 



1 — COS I '2ir 



r 



= 



(3.7) 



1.0 



0.9 



0.8 



0.7 



0.6 



0.5 



0.4 



0.3 



0.2 



0.1 



-0.1 



-0.2 



•0.3 



-0.5 



-0.4 



-0.3 



T 



-0.2 



■0.1 



-90 -75 -60 -45 -30 -15 15 30 45 60 75 90 



PHASE SHIFT ANGLE OF TIMING WAVE, 1^, IN DEGREES 



Fig. 4 — Triggering times versus phase shifts in timing wave. 



