Systems and methods for error reduction associated with information transfer

A method for error reduction in an electronic system, the method comprising:

• processing an encoded data set using a first channel detector, wherein the processing results in a first hard output and a soft output, and wherein the first hard output represents a predicted bit value and the soft output represents a reliability value;
• processing the first hard output and the soft output using a single parity row decoder, wherein the single parity row decoder provides a second hard output;
• time shifting the encoded data set to create a time shifted encoded data set;
• providing the time shifted encoded data set and the second hard output to a second channel detector, wherein the second hard output is received by the second channel detector coincident with a corresponding portion of the time shifted encoded data set;
• and
• processing the second hard output and the time shifted encoded data set to form a recovered output, wherein the recovered output is derived from the encoded data set, and wherein the recovered output exhibits a reduction in errors compared with the encoded data set.

A digital storage system, the digital storage system comprising:

• a storage medium, wherein the storage medium includes an encoded data set accessible via a buffer;
• a first channel detector communicably coupled to the buffer, wherein the first channel detector is a soft output Viterbi algorithm channel detector, wherein the first channel detector receives the encoded data set, and wherein the first channel detector provides a first hard output and a soft output representing the encoded data set;
• a single parity row decoder, wherein the single parity row decoder is coupled to the first hard output and the soft output, wherein the single parity row decoder provides a second hard output, and wherein the second hard output is an error reduced representation of the encoded data set;
• a delay element, wherein the delay element receives the encoded data set and provides a time shifted encoded data set;
• and
• a second channel detector, wherein the second channel detector receives the second hard output coincident with a portion of the time shifted encoded data set, wherein the second channel detector provides a recovered output, and wherein the recovered output exhibits a reduction in errors compared with the encoded data set.