SELF-TIMING REGENERATIVE REPEATERS 913 



44 Deviations in Timing Wave 



The timing wave derived from an "on-off" pulse train \\ith the aid of 

 a resonant circuit will in accordance with the expressions given in the 

 previous sections contain three types of amplitude and timing devia- 

 tions. 



The first type is a fixed amplitude reduction by a factor oo and a fixed 

 time deviation to given by 



ao = cos^, (4.17) 



and 



TO = 1^ ^, (4.18) 



where yp is given by (4.2). 



The second type is a random amplitude and time deviation resulting 

 from the random amplitude component of the pulse train, which have 

 rms values 



a.^(^y'[l-^V2r'^-^, (4.19) 



\2Q/ cos 4/ 



and 



§,-f(^)"^. (4.20) 



27r \4Q/ cos ^ 



The third type is a random amplitude and time deviation resulting 

 from random timing deviations fp = 5 in the pulse train. The amplitude 

 variation can be disregarded and the rms time deviation is 



(\l/2 



The total rms amplitude variation is accordingly given by (4.19). 

 The total rms timing deviation obtained by combining (4.20) and (4.21) 

 is 



fr =bj + a%y\ (4.22) 



The expressions for br and fr are the quantities appearing in (2.20) for 

 Ar , the total rms timing deviation in regenerated pulses resulting from 

 random amplitude and timing deviations in the timing wave. 



