SELF-TIMIXG REGENER.\TIVE REPEATERS 



907 



where 



^ - 



'2t] cos ^ j . /., /(I 



-j- sill \p 



1 - cos riT ^ - "A 



(3.18) 



/ 



and D and /o/ 7' are defined as before. 



The factor ^ indicates the time de\'iation in regenerated pulses in 

 relation to the time deviation t,- in the timing wave which results from 

 a phase shift Ai/' as given by (3.13). It may be regarded as a timing feed- 

 back factor that is of interest in connection with timing from regenerated 

 pulses as discussed later. The factor (3 is shown in Fig. 4 for r? = f and 



V= 1. 



3.7 Reduction in Tolerance to Noise by Timing Deviations 



When the pulse shape is given by (3.1) and the timing wave is dis- 

 placed by To , the tolerance to noise is in accordance with (2.2) reduced 

 by the factor 



1 / 1 I TT To\ 1 



lA , 7r0\ 1 



^(^l-f cos-^j-2 



(3.19) 



For a phase displacement \p, 



and 



TT To 



= cos - - . 



TO = T\f//2Tr, 



M = cos—. 

 2ri 



(3.20) 



(3.21) 



For r? == f , the factor n and the corresponding reduction in the toler- 

 ance to noise in db are as follows: 



