Non-linear compensation of timing jitter

A method for compensating transitions of a data stream for laser jitter, the method comprising:

• storing a history of at least one bit of the data stream, wherein the history includes a current bit, wherein storing a history of at least one bit further comprises delaying the data stream with a first delay element and a second delay element;
• detecting at least one transition in the data stream based on the history of at least one bit, the at least one transition including a transition occurring after the current bit, wherein detecting at least one transition in the data stream further comprises:
• detecting a falling transition with a first AND gate having as inputs an inverted output of the first delay element and an output of the second delay element;
• and
• detecting a rising transition with a second AND gate having as inputs the output of the first delay element and an inverted output of the second delay element;
• compensating the current bit either positively or negatively such that the transition occurring after the current bit is compensated in the data stream, wherein compensating the current bit such that the transition is compensated in the data stream further comprises weighting an output of the first AND gate and of the second AND gate;
• and
• summing the weighted output of the first AND gate and the second AND gate with an output of the pulse shaper such that the current bit in the data stream is peaked before the current transition, thereby compensating the transition occurring after the current bit.

A circuit for compensating a transition in a data stream to account for laser jitter, the circuit comprising:

• a first delay element in series with a second delay element, wherein the first delay element delays a data stream by a first amount and the second delay element delays the data stream by a second amount;
• a first logic gate connected to the first delay element and the second delay element such that an output of the first logic gate is high when a falling transition is occurs in the data stream;
• a second logic gate connected to the first delay element and the second delay element such that an output of the second logic gate is high when a rising transition occurs in the data stream;
• a gain circuit connected to the first logic gate and the second logic gate that provides a gain depending at least on whether a rising or falling transition is detected in the data stream;
• and
• a pulse shaper that delays the data stream such that the gain of the weighting element is summed with the data stream prior to transitions detected by the first logic gate and the second logic gate such that the transitions are either advanced or delayed.