Cancelling adjacent track interference

A system comprising:

• a first channel pulse response shape circuit configured to:
• receive first underlying data corresponding to a first signal;
• determine an interference component signal based on the first underlying data corresponding to the first signal and a first channel pulse response shape for the first signal;
• and adapt one or more parameters of the first channel pulse response shape based on an error signal;
• a detector circuit configured to:
• receive a second signal corresponding to second underlying data;
• determine estimated decisions corresponding to the second signal based on the second signal;
• a second channel pulse response shape circuit configured to:
• determine an estimated signal based on the estimated decisions corresponding to the second signal and a second channel pulse response shape for the second signal;
• a first adder configured to:
• generate a remaining signal based on the estimated signal and the second signal;
• and a second adder configured to:
• generate an error signal based on the interference component signal and the remaining signal.

A method comprising:

• receiving, by a first channel pulse response shape circuit, first underlying data corresponding to a first signal;
• determining, by the first channel pulse response shape circuit, an interference component signal based on the first underlying data corresponding to the first signal and a first channel pulse response shape for the first signal;
• receiving, by a detector circuit, a second signal corresponding to second underlying data;
• determining, by the detector circuit, estimated decisions corresponding to the second signal based on the second signal;
• determining, by a second channel pulse response shape circuit, an estimated signal based on the estimated decisions corresponding to the second signal and a second channel pulse response shape for the second signal;
• generating, by a first adder, a remaining signal based on the estimated signal and the second signal;
• generating, by a second adder, an error signal based on the interference component signal and the remaining signal;
• adapting, by the first channel pulse response shape circuit, one or more parameters of the first channel pulse response shape based on an error signal using least mean square (LMS) adaptation;
• and cancelling, by a third adder, interference in the second signal using the interference component signal to generate a cleaned signal.