Spectral Analysis of Line Regenerator Time Jitter

A closed form expression for the spectral density of the time jitter produced in a line regenerator in the presence of a general polynomial nonlinear circuit, band-limited baseband pulses, and an arbitrary tuned filter is developed. The method applies to a PAM digital signal with mutually independent symbols but with an arbitrary number of levels and symbol probabilities. As an example of the method, the spectrum of the time jitter produced in the presence of a fourth power law nonlinear circuit is reported.