Timing in a Long Chain of Regenerative Binary Repeaters

Abstract

The present paper studies same of the statistical properties of the random-timing deviations, or position modulation of the signal pulses, in a long chain of regenerative binary repeaters. Random timing deviations of the output signal pulses result from input noise, tuning error, random timing deviations of the input signal pulses (introduced by preceding repeaters) and other sources at each repealer. The power spectra and the total powers (mean square values) of the timing noise, spacing noise (random deviations in spacing of two consecutive pulses from an integral number of pulse periods) and alignment noise (random deviations in alignment between an input signal pulse and its corresponding liming pulse) caused by the input noise at each repeater are determined for a long chain of regenerative repeaters using either tuned circuit or locked oscillator timing filters. The effects of tuning error arc studied for a chain of repeaters employing locked oscillator timing circuits; however, the present analysis does not treat the effects of tuning error in a chain of repeaters using tuned-circuit timing filters.