Apparatus and method for accounting for gain and timing phase error, not accounted for by coefficients of a first filter, via coefficients of a second filter

A system comprising:

• a first filter circuit including a first plurality of taps, wherein the first plurality of taps are configured to receive respective coefficients, and wherein the first filter circuit is configured to receive an input signal, and based on the coefficients, filter the input signal;
• a first device configured to update some of the coefficients based on the input signal, wherein the first device does not update one of the coefficients;
• a second filter circuit including a second plurality of taps, wherein the second plurality of taps are configured to receive respectively a first coefficient and a second coefficient, wherein the second filter circuit is configured to, based on the first coefficient and the second coefficient, filter an output of the first filter circuit;
• and
• a second device configured to, based on the output of the first filter circuit, update the second coefficient to account for a change in
• an amount of gain of the system not accounted for by the first device due to the one of the coefficients of the first plurality of taps not being updated, and
• a timing phase error of the input signal as a result of the first device not updating the one of the coefficients of the first plurality of taps.