Gordon-Haus Timing Jitter in Dispersion-Managed Systems with Distributed Amplification

The moment method is used to study the Gordon-Haus timing jitter of optical pulses in dispersion-managed communication systems with distributed amplification. Timing-jitter formulas are derived for the dispersion-managed soliton and chirped return-to-zero formats. These formulas are used to study the effects of dispersion compensation on timing jitter. 

Just as distributed amplification reduces the amount of amplifier noise, so also does it reduce the timing jitter caused by amplifier noise. For both transmission formats, one can reduce the timing jitter significantly by choosing the amount of dispersion compensation judiciously.