Systems and Methods for Enhanced Bit Correlation Usage

A method, the method comprising:

• applying a data detection algorithm to a data input to yield hard decisions as a first detected output, wherein the first detected output includes bit positions arranged in columns, and wherein the first detected output includes a number of multi-bit symbols each including bit positions from at least two of the columns;
• selecting a first rotation of the first detected output as a first decoder input, wherein each of the multi-bit symbols in the first rotation includes bits from consecutive columns;
• applying a decoding algorithm to the first decoder input to yield a first decoded output;
• applying the data detection algorithm to the data input guided by the first decoded output to yield hard decisions as a second detected output, wherein the second detected output includes the bit positions arranged in the columns, and wherein the first detected output includes the number of multi-bit symbols each including bit positions from at least two of the columns;
• selecting a second rotation of the second detected output as a second decoder input, wherein at least one of the multi-bit symbols in the second rotation includes bits from non-consecutive columns;
• and
• applying the decoding algorithm to the second decoder input to yield a second decoded output.

A data processing system, the data processing system comprising:

• a data detector circuit operable to apply a data detection algorithm to a data input to yield hard decisions as a first detected output, and to apply the data detection algorithm to the data input guided by a first decoded output to yield hard decisions as a second detected output, wherein the first detected output and the second detected output include the same bit positions;
• a signal set selector circuit operable to select a first rotation of the first detected output, and to select a second rotation of the second detected output, wherein the first rotation includes the bit positions grouped to yield a first set of multi-bit symbols arranged in multi-bit symbol positions, wherein the second rotation includes the bit positions grouped to yield a second set of multi-bit symbols arranged in the same multi-bit symbol positions, and wherein a multi-bit symbol of the first set of multi-bit symbols corresponding to a particular one of the multi-bit symbol positions includes bits from different bit positions than a multi-bit symbol of the second set of multi-bit symbols corresponding to the particular one of the multi-bit symbol positions;
• a data decoder circuit operable to:
• apply a data decoding algorithm to the first rotation of the first detected output to yield the first decoded output;
• and
• apply the data decoding algorithm to the second rotation of the second detected output to yield a second decoded output.