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Protograph-Based LDPC Code Design for Shaped Bit-Metric Decoding
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DOI：10.1109/JSAC.2015.2504298.png)
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Abstract
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A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation with probabilistic shaping is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the bit-interleaved coded modulation (BICM) bit-channels. For BICM with uniform inputs and for BICM with probabilistic shaping, binary-input symmetric-output surrogate channels for the code design are used. The constructed codes for uniform inputs perform as good as the multi-edge type codes of Zhang and Kschischang (2013). For 8-ASK and 64-ASK with probabilistic shaping, codes of rates 2/3 and 5/6 with blocklength 64800 are designed, which operate within 0.63 and 0.69 dB of 1/2 log(2)(1 + SNR) for a target frame error rate of 10(-3) at spectral efficiencies of 1.38 and 4.25 bits/channel use, respectively.
Keywords:
Bit-metric decoding
coded modulation
low-density parity-check codes
protograph
probabilistic amplitude shaping
surrogate channels
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