Bit-Metric Decoding of Non-Binary LDPC Codes With Probabilistic Amplitude Shaping

A new approach for combining non-binary (NB) low-density parity-check codes with higher order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding, a bit-metric decoder is used so that matching the field order of the NB code to the constellation size is not needed, which increases the flexibility of the coding scheme. Information rates, density evolution thresholds, and finite-length simulations show that the flexibility comes at no loss of performance if PAS is used.

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