  Low-density parity-check (LDPC) codes with the parity-based approach for
distributed joint source channel coding (DJSCC) with decoder side information
is described in this paper. The parity-based approach is theoretical limit
achievable. Different edge degree distributions are used for source variable
nodes and parity variable nodes. Particularly, the codeword-averaged density
evolution (CADE) is presented for asymmetrically correlated nonuniform sources
over the asymmetric memoryless transmission channel. Extensive simulations show
that the splitting of variable nodes can improve the coding efficiency of
suboptimal codes and lower the error floor.
