Backward propagation with compensation of some nonlinear effects of polarization mode dispersion
An optical transport system configured to compensate nonlinear signal distortions using a backward-propagation algorithm in which some effects of polarization mode dispersion on the nonlinear signal distortions are accounted for by employing two or more different approximations of said effects within the bandwidth of the optical communication signal. In an example embodiment, the corresponding digital signal processor (DSP) is configured to switch between different approximations based on a comparison, with a fixed threshold value, of a difference between frequencies of various optical waves contributing to the nonlinear signal distortions, e.g., through four-wave-mixing processes. In different embodiments, the backward-propagation algorithm can be executed by the transmitter's DSP or the receiver's DSP.
1. An apparatus comprising:
an optical transmitter that includes a laser, a plurality of optical modulators, associated electrical drivers, and a digital signal processor, the optical transmitter being configured to modulate a digital symbol stream onto two polarization components of an optical carrier generated by the laser in a manner that pre-compensates some intra-channel nonlinear optical distortions produced by transmission of a resulting modulated optical carrier over an optical fiber;
wherein the digital signal processor is electrically connected to control the associated electrical drivers and comprises a digital circuit configured to estimate intra-channel nonlinear optical distortions during the transmission of the modulated optical carrier in a polarization-mode-dispersion dependent manner that gives a lower weight to some contributions to the intra-channel nonlinear optical distortions caused by interactions between frequency components of the modulated optical carrier of larger intra-channel frequency difference than to other contributions to the intra-channel nonlinear optical distortions caused by interactions between frequency components of the modulated optical carrier of smaller intra-channel frequency difference; and
wherein the digital signal processor is configured to generate an estimate of the intra-channel nonlinear optical distortions for the two polarization components of the modulated optical carrier based on a comparison, with a fixed threshold value, of a difference between frequencies of the frequency components of the modulated optical carrier contributing to the intra-channel nonlinear optical distortions.
2. The apparatus of claim 1 , wherein the digital signal processor is configured to generate the estimate using two or more different approximations of an effect of polarization mode dispersion on the intra-channel nonlinear optical distortions within a bandwidth of the modulated optical carrier.
3. The apparatus of claim 2 , wherein the digital signal processor is further configured to generate the estimate using a backward-propagation algorithm, the backward-propagation algorithm being configured to cause a pre-distortion of the modulated optical carrier that tends to be removed by the transmission thereof over the optical fiber.
4. The apparatus of claim 2 , wherein the digital signal processor is further configured to switch between the two or more different approximations based on the comparison.
5. The apparatus of claim 4 , wherein the digital signal processor is further configured to:
apply a first of the two or more approximations if an absolute value of a difference between frequencies of a first frequency component and a second frequency component is smaller than the fixed threshold value; and
apply a second of the two or more approximations if the absolute value of the difference between the frequencies of the first frequency component and the second frequency component is greater than the fixed threshold value.
6. The apparatus of claim 5 , wherein the digital signal processor is further configured to apply a third of the two or more approximations if the absolute value of the difference between the frequencies of the first frequency component and the second frequency component is smaller than the fixed threshold value, and an absolute value of a difference between frequencies of a third frequency component and the second frequency component is greater than the fixed threshold value.