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This paper is concerned with the design of capacity approaching ensembles ofLow-Densiy Parity-Check (LDPC) codes for correlated sources. We considercorrelated binary sources where the data is encoded independently at eachsource through a systematic LDPC encoder and sent over two independentchannels. At the receiver, a iterative joint decoder consisting of twocomponent LDPC decoders is considered where the encoded bits at the output ofeach component decoder are used at the other decoder as the a prioriinformation. We first provide asymptotic performance analysis using the conceptof extrinsic information transfer (EXIT) charts. Compared to the conventionalEXIT charts devised to analyze LDPC codes for point to point communication, theproposed EXIT charts have been completely modified to able to accommodate thesystematic nature of the codes as well as the iterative behavior between thetwo component decoders. Then the developed modified EXIT charts are deployed todesign ensembles for different levels of correlation. Our results show that asthe average degree of the designed ensembles grow, the thresholds correspondingto the designed ensembles approach the capacity. In particular, for ensembleswith average degree of around 9, the gap to capacity is reduced to about 0.2dB.Finite block length performance evaluation is also provided for the designedensembles to verify the asymptotic results.

Design of Capacity Approaching Ensembles of LDPC Codes for Correlated Sources using EXIT Charts