Systems and modules for use with trellis-based decoding

A module for use in trellis-based decoding of encoded sets of data bits, the module comprising:

• a plurality of calculation submodules configured to operate in parallel, wherein each calculation submodule includes:
• a plurality of XOR gates, wherein each XOR gate is configured to generate a corresponding output in response to a difference between a corresponding bit from the encoded set of data bits and a corresponding bit from one of the predetermined set of branch values;
• and
• a counter configured to count a number of instances the corresponding output of each of the XOR gates indicates the difference and configured to provide the counted number as a preselected signal distance in binary format;
• a plurality of four or more addition submodules configured to operate in parallel, wherein each addition submodule includes an addition circuit configured to receive both the preselected signal distance and a preselected cumulative signal distance in binary format, and wherein each addition circuit is further configured to add the preselected signal distance and the preselected cumulative signal distance;
• and
• a decision submodule configured to receive outputs from the plurality of addition submodules, configured to subtract an offset value from each of the preselected cumulative signal distances, and configured to determine which one of the outputs conforms to a predetermined criterion the decision submodule is configured to receive outputs from the plurality of addition submodules, wherein the decision submodule is configured to provide a decision submodule output, one of the outputs of the addition submodules that meets a specific predetermined criterion, and wherein the decision submodule output is provided as a new cumulative signal distance for one of a predetermined set of predecessor states associated with a calculation module containing the decision submodule;
• wherein the module is enabled to process a respective path of the trellis based decoding for each of addition submodules.

A system, comprising:

• first calculation means for calculating a signal distance between two or more encoded sets of data bits and each one of a predetermined set of branch values;
• plural second calculation means, operating in parallel, for calculating corresponding plural cumulative signal distances, wherein each cumulative signal distance corresponds to one of a predetermined set of predecessor states;
• wherein the first calculation means includes:
• plural calculation submodule means configured to operate in parallel, wherein each calculation submodule means comprises:
• plural XOR gate means for generating corresponding outputs in response to differences between corresponding bits from the encoded sets of data bits and corresponding bits from each one of the predetermined sets of branch values;
• and
• counting means for counting a number of instances the corresponding output of each of the XOR gate means indicates the difference and for providing the counted number as a preselected signal distance;
• and
• wherein each second calculation means includes:
• four or more addition means for calculating respective cumulative distance sums by adding the preselected signal distance calculated by the counting means to a preselected cumulative signal distance calculated by each second calculation means wherein each one of the four or more addition means comprises an add means for receiving both the preselected signal distance and the preselected cumulative signal distance in digital format, wherein an output of each add means is a number in binary format that is a sum of the preselected signal distance and the preselected cumulative signal distance;
• and
• decision means for subtracting an offset from each of the plurality of cumulative signal distances and for selecting one of the cumulative distance sums in response to the offset cumulative signal distances wherein the decision means is configured to receive outputs from the four or more addition means, wherein the decision means is configured to provide as a decision means output one of the outputs from the four or more addition means that meets a specific predetermined criterion, and wherein the decision means output is provided as a new cumulative signal distance for one of the predetermined set of predecessor states associated with a second calculation means containing the decision means.