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THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1957 



given by: 



tan \p = Q 



h 



JV 



(8.4) 



and Q is the loss constant of the resonant circuit. If the peaks of the 

 wave given by (3.3) are held at zero potential, a retiming wave as given 

 by (3.2) is obtained. This type of retiming wave can also be obtained b}- 

 applying an infinite secjuence of rectangular pulses of equal amplitudes 

 Avith spacing T to a resonant circuit. 



3.3 Triggering Instants 



With a pulse shape and retiming wave as assumed above, the resul- 

 tant wave is given by 



Pit) + Rit) = 



1 



1 + cos-- 



cos yp 



1 - COs(27r- - \l/ 



(3.5) 



This wave is shoA\ii in Fig. 3 for xj/ = and ±60°. For i^ = ±90° the 

 retiming wave disappears, so that the combined wave is P{t). 



cos p 



2 



1-cos [zrr Y - ¥'] 



Fig. 3 — Illustrative example of j)ulse shape and retiming wave. 



