Channel symmetry in Slepian-Wolf code design based on LDPC codes with application to the quadratic Gaussian Wyner-Ziv problem

We consider Slepian-Wolf code design (or source coding with side information) based on LDPC codes. We show that density evolution defined in conventional channel coding can be used in analyzing the Slepian-Wolf coding performance provided that a certain symmetry condition, dubbed dual symmetry, is satisfied by the hypothetical channel between the source and the side information. Exploiting such an analysis. we design an efficient LDPC code based Slepian-Wolf coding scheme and apply it to the quadratic Gaussian Wyner-Ziv problems.