Systems and methods for recovering information from a defective medium

A system for regenerating data, the system comprising:

• a media defect detector, wherein the media defect detector is operable to identify a potential media defect associated with a medium from which an input signal is derived;
• an attenuation amplitude detector, wherein the attenuation amplitude detector generates an attenuation factor;
• a data detector, wherein the data detector includes a first data path and a second data path, wherein the first data path includes a bank of two or more selectable noise prediction filters and a second data path includes a fixed noise prediction filter and the attenuation factor, and wherein the data detector processes a derivative of the input signal processed by the second data path when the potential media defect is indicated;
• wherein an output of the second data path is multiplied by a first programmable scalar value;
• and
• wherein the first data path includes a multiplier augmenting the processed data by a second programmable scalar value.

A data processing circuit, the data processing circuit comprising:

• a media defect detector operable to identify a potential defect on a medium from which an input signal is derived, and to assert a defect flag;
• an attenuation amplitude detector operable to calculate an attenuation of the input signal and to provide an attenuation factor corresponding to the attenuation of the input signal;
• and
• a data processor circuit operable to receive a processing input, wherein the processing input is derived from the input signal multiplied by the attenuation factor during a period when the defect flag is asserted;
• wherein the input signal is represented as y, the attenuation factor is represented as η, the fixed noise prediction filter is represented as ƒ(0000), and an ideal filter is represented as IDEAL′(X3X2X1X0), wherein the second data path yields an output represented as:
• [ƒ(0000)*y−η·IDEAL′(X3X2X1X0)]2/N0.