LDPC decoding and code design on extrinsic trees

Extrinsic tree decoding of low-density parity-check codes operates on modified, finite computation trees created from the Tanner graph of the code. The goal of the extrinsic tree algorithm is to maintain or improve the performance of existing iterative decoders, while providing a decoding algorithm for which upper bounds can be computed. The extrinsic tree algorithm is examined, along with the design of parity-check matrices on which the extrinsic tree decoder performs well.