Chromatic dispersion compensation using sign operations and lookup tables

1. A method of compensating for chromatic dispersion (CD) comprising:

receiving an input data signal;

applying a filter to a data signal, where applying the filter comprises:

convolving known filter coefficients with a plurality of delayed versions of the data signal using addition and at least one inverse sign operation; and

adding the convolved delayed versions of the data signal with at least one adder to produce a CD compensated signal; and

outputting the CD compensated signal;

wherein said convolving comprises:

splitting a filter coefficient into its respective real and imaginary parts;

selectively inverting the sign of said real and imaginary parts; and

combining the selectively inverted real and imaginary parts to form real and imaginary components of a convolved signal.

2. A chromatic dispersion (CD) compensation device, comprising:

a delay chain comprising a plurality of delay elements configured to receive and delay an input data signal;

a plurality of sign/add modules configured to tap a delay element and to convolve a delayed version of the input signal with known filter coefficients using addition and at least one inverse sign operation; and

a plurality of adders configured to add the convolved delayed versions of the input signal to produce a CD compensated output data signal,

wherein the plurality of sign/add modules are each configured to split a filter coefficient into its respective real and imaginary parts, selectively invert the sign of said real and imaginary parts, and combine the selectively inverted real and imaginary parts to form real and imaginary components of a convolved signal.

3. The CD compensation device of claim 2 , further comprising a 2×-upsampler configured to up-sample the input data signal before it passes to the delay chain.

4. A method of compensating for chromatic dispersion (CD) comprising:

receiving an input data signal;

applying a filter to a data signal, where applying the filter comprises:

grouping delayed versions of the data signal into input symbols;

determining an output signal symbol using a lookup table that stores associations between input symbols and output symbols based on known filter coefficients; and

adding the output symbols with at least one adder to produce a CD compensated signal; and

outputting the CD compensated signal,

wherein the lookup table is generated by finding the dot product between all possible signal patterns for a given symbol and the corresponding filter coefficients.

5. The method of claim 4 , further comprising upsampling the data signal by a factor of two before applying the filter.

6. The method of claim 4 , wherein applying a filter further comprises splitting the data signal into an even path and an odd path and applying said grouping, determining, and adding for each path.

7. The method of claim 6 , wherein the odd path further comprises convolving an additional symbol for each group with a corresponding filter coefficient using addition and at least one inverse sign operation.

8. A chromatic dispersion (CD) compensation device, comprising:

a delay chain comprising a plurality of delay elements configured to receive and delay an input data signal;

a plurality of lookup tables based on known filter coefficients configured to tap a group of delay elements and produce an output symbol;

a plurality of adders configured to add output symbols to produce a CD compensated output data signal, and

further comprising an even path and an odd path, wherein each path comprises a separate delay chain, plurality of lookup tables, and plurality of adders.

9. The CD compensation device of claim 8 , further comprising a 2×-upsampler configured to up-sample the input data signal before it passes to the delay chain.

10. The CD compensation device of claim 8 , wherein the lookup table includes a dot product between all possible signal patterns for a given symbol and the corresponding filter coefficients.