918 



THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1957 



Table IV — Rms Devlvtions from Timing Wave 

 Distortion for Q = 100 



In Table IV are given the values of the two last terms in (5.14), which 

 represents the rms deviations Ar owing to random deviations in the 

 timing wave. The results are given for the particular case in which 

 Q = 100, and for other values of Q are inversely proportional to Q^'". 

 The table shows the deviations as a fraction of the interval T between 

 pulses, and also as the corresponding rms phase deviation ipr . 



In Table V are given the values of the first two terms in (5.14), which 

 represents the rms deviation Ap in the regenerated pulses resulting from 

 random amplitude and timing deviation in the received pulses. In binary 

 systems it is customary to limit the rms pulse distortion to Qp = ■^, 

 corresponding to yV the peak amplitude of the received pulses, or ^ the 

 triggering level (17 db signal-to-noise ratio). The corresponding rms 

 phase deviation would be about xV I'adian, corresponding to an rms 

 deviation fp in the pulses of 0.016 the pulse spacing, or fp/T = 0.016. 

 The total rms timing deviation obtained from (5.14) and the correspond- 

 ing rms phase deviation are given in Table VI. 



Table V — Rms Deviations Resulting from Pulse Distortion 



Table VI — Total Rms Deviations from Timing Wave 

 and Pulse Distortion 



