Multi-threshold reliability decoding of low-density parity check codes

A method and apparatus are provided for error correction of a communication signal. A multiple threshold scheme for iteratively decoding a received codeword includes using a comparison of an updated bit reliability with a threshold to generate a reconstructed version of the received codeword. At each iteration the bit reliability and the reconstructed codeword are updated based on a comparison using a threshold that has been updated for the given iteration. Embodiments include decoding and/or associated encoding methods and apparatus using a threshold having two of more values during the iterative decoding.