Chromatic dispersion compensator with integrated anti-aliasing filter and resampler

1. An apparatus, comprising:

a chromatic dispersion compensator configured to receive a first set of digital signal values produced by sampling an analog signal at a first sampling rate and to generate a second set of digital signal values by sampling the first set of digital signal values at a second sampling rate that is different than the first sampling rate, wherein the chromatic dispersion compensator is configured to apply a chromatic dispersion filter and an anti-aliasing filter to a first plurality of frequency components of the first set of digital signal values, and wherein the chromatic dispersion filter is configured to use inverse chromatic dispersion coefficients, and wherein the anti-aliasing filter is configured to set to zero a subset of the first plurality of frequency components.

2. The apparatus of claim 1 , further comprising:

an analog-to-digital converter to generate the first set of digital signal values by sampling the analog signal at the first sampling rate.

3. The apparatus of claim 1 , wherein the first sampling rate is two samples per symbol and the second sampling rate is 1.P samples per symbol, wherein “.P” represents a decimal fractional value smaller than one so that 1.P<2.

4. The apparatus of claim 1 , wherein a ratio of the first sampling rate to the second sampling rate is N/M, and wherein N and M are integers equal to 1 or greater.

5. The apparatus of claim 1 , wherein the chromatic dispersion compensator comprises an overlap extender to combine the first set of digital signal values with a plurality of previous digital signal values sampled at the first sampling rate to form a first extended set of digital signal values, and wherein the chromatic dispersion compensator comprises a discrete Fourier transform to transform the first extended set of digital signal values to the first plurality of frequency components.

6. The apparatus of claim 5 , wherein the chromatic dispersion compensator comprises a memory to store information indicating the zero padding for the anti-aliasing filter and information indicating the inverse chromatic dispersion coefficients.

7. The apparatus of claim 6 , wherein the chromatic dispersion compensator comprises a combiner to generate a combined transfer function using the information indicating the anti-aliasing filter and the information indicating the inverse dispersion coefficients.

8. The apparatus of claim 7 , wherein the chromatic dispersion compensator comprises a multiplier to multiply the first plurality of frequency components and the combined transfer function.

9. The apparatus of claim 8 , wherein the chromatic dispersion compensator comprises a spectrum dropping block to drop a subset of the first plurality of frequency components corresponding to zero-padded frequency components.

10. The apparatus of claim 9 , wherein the chromatic dispersion compensator comprises an inverse discrete Fourier transform to transform a remaining subset of the first plurality of frequency components to form a second extended set of digital signal values, and wherein the chromatic dispersion compensator comprises an overlap dropper to drop a subset of the second extended set of digital signal values to generate the second set of digital signal values.

11. A method, comprising:

receiving, at a chromatic dispersion compensator, a first set of digital signal values produced by sampling an analog signal at a first sampling rate;

applying, at the chromatic dispersion compensator, a chromatic dispersion filter and an anti-aliasing filter to the first set of digital signal values, wherein applying the chromatic dispersion filter comprises applying inverse chromatic dispersion coefficients, and wherein applying the anti-aliasing filter comprises setting to zero a subset of a first plurality of frequency components of the first set of digital signal values; and

generating, at the chromatic dispersion compensator, a second set of digital signal values by sampling the first plurality of digital signal values at a second sampling rate that is different than the first sampling rate.

12. The method of claim 11 , further comprising:

generating, at an analog-to-digital converter, the first set of digital signal values by sampling the analog signal at the first sampling rate.

13. The method of claim 11 , wherein the first sampling rate is two samples per symbol and the second sampling rate is 1.P samples per symbol, wherein “.P” represents a decimal fractional value smaller than one so that 1.P<2.

14. The method of claim 11 , wherein a ratio of the first sampling rate to the second sampling rate is N/M, and wherein N and M are integers.

15. The method of claim 11 , further comprising:

combining the first set of digital signal values with a set of previous digital signal values sampled at the first sampling rate to form a first extended set of digital signal values and transforming the first extended set of digital signal values to the first plurality of frequency components.

16. The method of 15 , wherein applying the chromatic dispersion filter and the anti-aliasing filter comprises generating a combined transfer function using information indicating the zero padding and information indicating the inverse dispersion coefficients and multiplying the first plurality of frequency components and the combined transfer function.

17. The method of claim 16 , further comprising:

dropping a subset of the first plurality of frequency components corresponding to zero-padded frequency components.

18. The method of claim 17 , further comprising:

transforming a remaining subset of the first plurality of frequency components to form a second extended set of digital signal values.

19. The method of claim 18 , further comprising:

dropping a subset of the second extended set of digital signal values to generate the second set of digital signal values.