Optimized LDPC codes for partial response channels
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We construct codes that can closely approach (and possibly ultimately achieve) the i.i.d. capacity of an intersymbol interference (ISI) channel with inputs confined to binary values. We use the low-density-parity-check (LDPC) degree sequences optimization method proposed by Richardson, Shokrollahi and Urbanke (see IEEE Trans. Inform. Theory, vol.47, p.619-37, February 2001) and appropriately modify it for ISI channels.
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[2] Xiao Ma,et al. Binary intersymbol interference channels: Gallager codes, density evolution, and code performance bounds , 2003, IEEE Transactions on Information Theory.