Methods and apparatus for optical communications via pulse amplitude modulation (PAM) in dense wavelength-division multiplexing (DWDM) systems

1. A method, comprising:

applying, to a modulated digital signal, a forward error correction (FEC) including a low-density parity-check (LDPC) to produce a coded digital signal;

applying Nyquist shaping to the coded digital signal to generate a filtered digital signal; and

transmitting a representation of the filtered digital signal in an optical communication channel via a dense wavelength division multiplexing (DWDM) scheme.

2. The method of claim 1 , further comprising:

modulating a digital signal via pulse amplitude modulation (PAM) to generate the modulated digital signal.

3. The method of claim 1 , further comprising:

converting the filtered digital signal into an analog signal, the representation of the filtered digital signal being the analog signal.

4. The method of claim 1 , wherein the FEC includes a hard decision FEC.

5. The method of claim 1 , wherein the FEC includes a soft decision FEC.

6. The method of claim 1 , further comprising adjusting a code rate associated with the FEC based on a status of the optical communication channel.

7. The method of claim 1 , wherein the applying the Nyquist shaping to the coded digital signal

includes applying the Nyquist shaping at a roll-off factor (ROF) substantially equal to or less than 0.5.

8. The method of claim 1 , further comprising:

in response to a chromatic dispersion level of the optical communication channel being greater than a predetermined value, decreasing a code rate associated with the FEC; and

in response to the chromatic dispersion level of the optical communication channel being less than the predetermined value, increasing a code rate associated with the FEC.

9. The method of claim 1 , further comprising:

in response to an optical signal to noise ratio (OSNR) associated with the optical communication channel being greater than a predetermined value, increasing a code rate associated with the FEC; and

in response to the optical signal to noise ratio (OSNR) associated with the optical communication channel being less than the predetermined value, decreasing the code rate associated with the FEC.

10. A non-transitory computer readable storage medium storing data representing software executable by a computer, the software including instruction to:

apply, to a modulated digital signal, a forward error correction (FEC) to produce a coded digital signal;

apply Nyquist shaping to the coded digital signal to generate a filtered digital signal; and

transmit a representation of the filtered digital signal in an optical communication channel via a dense wavelength division multiplexing (DWDM) scheme.

11. The non-transitory computer readable storage medium of claim 10 , wherein the software further includes instructions to:

modulate a digital signal via a pulse amplitude modulation (PAM) to generate the modulated digital signal.

12. The non-transitory computer readable storage medium of claim 10 , wherein the software further includes instructions to:

convert the filtered digital signal into an analog signal, the representation of the filtered digital signal being the analog signal.

13. The non-transitory computer readable storage medium of claim 10 , wherein the software further includes instructions to:

in response to a chromatic dispersion level of the optical communication channel being greater than a predetermined value, decrease a code rate associated with the FEC; and

in response to the chromatic dispersion level of the optical communication channel being less than the predetermined value, increase a code rate associated with the FEC.

14. The non-transitory computer readable storage medium of claim 10 , wherein the software further includes instructions to:

in response to an optical signal to noise ratio (OSNR) associated with the optical communication channel being greater than a predetermined value, increase a code rate associated with the FEC; and

in response to the optical signal to noise ratio (OSNR) associated with the optical communication channel being less than the predetermined value, decrease the code rate associated with the FEC.

15. The non-transitory computer readable storage medium of claim 10 , wherein the software further includes instructions to:

apply probabilistic shaping to the modulated digital signal prior to applying the FEC.

16. An apparatus, comprising:

an encoder configured to apply a forward error correction (FEC) to a modulated digital signal to generate a coded digital signal;

a digital filter operatively coupled to the encoder and configured to apply Nyquist shaping to the coded digital signal to generate a filtered digital signal; and

a digital to analog converter (DAC) operatively coupled to the digital filter, the DAC configured to send a representation of the filtered digital signal into an optical communication channel.

17. The apparatus of claim 16 , further comprising

a modulator operatively coupled to the encoder and configured to encode binary data into a digital signal via pulse amplitude modulation (PAM) to generate the modulated digital signal.

18. The apparatus of claim 16 , wherein the DAC is further configured to convert the filtered digital signal into an analog signal, the representation of the filtered digital signal being the analog signal.

19. The apparatus of claim 16 , further comprising:

a controller operatively coupled to the digital filter and configured to:

receive information representing at least one of an optical signal to noise ratio (OSNR) or a chromatic dispersion level of the optical communication channel measured during transmission of the representations of the filtered digital signal, and

cause the digital filter to change a code rate associated with the FEC based on the information.

20. The apparatus of claim 16 , wherein the digital filter has an adjustable roll-off factor (ROF).