Description: Coded modulation (CM) is the combination of forward
error correction (FEC) and multilevel constellations. Coherent
optical communication systems result in a four-dimensional
(4D) signal space, which naturally leads to 4D-CM transceivers.
A practically attractive design paradigm is to use a bit-wise
decoder, where the detection process is (suboptimally) separated
into two steps: soft-decision demapping followed by binary
decoding. In this paper, bit-wise decoders are studied an
information-theoretic viewpoint. 4D constellations with up to
4096 constellation points are considered. Metrics to predict the
post-FEC bit-error rate (BER)
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