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Wyner-Ziv coding (WZC) is a compression technique using decoder sideinformation, which is unknown at the encoder, to help the reconstruction. Inthis paper, we propose and implement a new WZC structure, called residual WZC,for the quadratic-Gaussian Wyner-Ziv problem where side information can bearbitrarily distributed. In our two-stage residual WZC, the source is quantizedtwice and the input of the second stage is the quantization error (residue) ofthe first stage. The codebook of the first stage quantizer must besimultaneously good for source and channel coding, since it also acts as achannel code at the decoder. Stemming from the non-ideal quantization at theencoder, a problem of channel decoding beyond capacity is identified and solvedwhen we design the practical decoder. Moreover,by using the modified reinforcedbelief-propagation quantization algorithm, the low-density parity check code(LDPC), whose edge degree is optimized for channel coding, also performs wellas a source code. We then implement the residual WZC by an LDPC and a lowdensity generator matrix code (LDGM). The simulation results show that ourpractical construction approaches the Wyner-Ziv bound. Compared with previousworks, our construction can offer more design lexibility in terms ofdistribution of side information and practical code rate selection.

Graph-based Code Design for Quadratic-Gaussian Wyner-Ziv Problem with Arbitrary Side Information