Abstract: In the present invention, two improved variants of the reliability-based iterative majority-logic decoding algorithm for regular low-density parity-check (LDPC) codes are presented. The new algorithms are obtained by introducing a different reliability measure for each check-sum of the parity-check matrix, and taking it into account in the computation of the extrinsic information that is used to update the reliability measure of each received bit in each iteration. In contrast to the first algorithm, the second algorithm includes check reliability that changes at each iteration. For the tested random and structured LDPC codes, both algorithms, while requiring very little additional computational complexities, achieve a considerable error performance gain over the standard one.

Abstract: In the present invention, two improved variants of the reliability-based iterative majority-logic decoding algorithm for regular low-density parity-check (LDPC) codes are presented. The new algorithms are obtained by introducing a different reliability measure for each check-sum of the parity-check matrix, and taking it into account in the computation of the extrinsic information that is used to update the reliability measure of each received bit in each iteration. In contrast to the first algorithm, the second algorithm includes check reliability that changes at each iteration. For the tested random and structured LDPC codes, both algorithms, while requiring very little additional computational complexities, achieve a considerable error performance gain over the standard one.

Abstract: A two step method for determining restoration cycles for a mesh network includes generating a set of possible restoration cycles, and selecting a subset of low-cost restoration cycles on the network. The cost of a restoration cycle may be based, in part, on the availability of capacity on the link to restore traffic with and/or without interference, and network policy. Enabling the restoration cycles to be determined based on the bandwidth capacity of the restoring link, the flows carried by the other link, and other network policy considerations enables embodiments of the invention to account for traffic class, priority, and other traffic considerations when selecting restoration cycles on the network. Identifying arcs on the network with relatively high cost restoration cycles allows portions of the network to be targeted for increased capacity.