The equations for iteratively decoding low-density parity-check (LDPC) codes are generalized to compute joint probabilities of arbitrary sets of codeword bits and parity checks. The standard iterative LDPC decoder, which computes single variable probabilities, is realized as a special case. Another specialization allows pairwise joint posteriorâ€¦ (More)

The standard LDPC decoder is generalized to compute joint posterior conditional probabilities of arbitrary sets of codeword bits given the received data. This generalized decoder is applied to the problem of blind turbo equalization. Blind channel identification is formulated as an expectation maximization problem. The solution depends on first and secondâ€¦ (More)