Cancelling adjacent track interference signal with different data rate

A system comprising:

• a cancellation circuit configured to:
• receive first underlying data corresponding to a first signal with a first rate;
• interpolate the first underlying data to generate a plurality of interpolated signals;
• determine, for the first signal, a first channel pulse response shape with the first rate;
• and
• determine an interference component signal based on the plurality of interpolated signals and the first channel pulse response shape;
• and
• an adder configured to:
• receive a second signal with a second rate corresponding to second underlying data;
• and
• cancel interference in the second signal using the interference component signal to generate a cleaned signal.

A method comprising:

• receiving first underlying data corresponding to a first signal with a first rate;
• interpolating, by an interpolation circuit, the first underlying data to generate a plurality of interpolated signals using a plurality of respective interpolation coefficients stored in a look up table;
• determining, by a channel pulse response shape circuit, for the first signal, a first channel pulse response shape with the first rate;
• determining, by the channel pulse response shape circuit, an interference component signal based on the plurality of interpolated signals and the first channel pulse response shape;
• and
• receiving, a second signal with a second rate corresponding to second underlying data;
• and
• canceling interference in the second signal using the interference component signal to generate a cleaned signal.