Timing-jitter growth in a chain of regenerative repeaters for optical-fibre transmissions

A theory is presented concerning the timing-jitter accumulation in a chain of regenerative repeaters for optical-fibre transmissions. The timing circuit in each repeater is modelled as a phase-locked loop. The spectra of the timing jitter and of the alignment error at any repeater of the chain are expressed in terms of the various system parameters. The theory fits very well the results obtained by computer simulation.