Probabilistic amplitude shaping with product codes and hard-decision decoding achieves up to 2.7 dB gain and 1 bpcu spectral efficiency improvement over uniform signaling, with component-code parameters constrained by integrality conditions.
Forward error correction for high bit-rate DWDM submarine systems,
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On Product Codes with Probabilistic Amplitude Shaping for High-Throughput Fiber-Optic Systems
Probabilistic amplitude shaping with product codes and hard-decision decoding achieves up to 2.7 dB gain and 1 bpcu spectral efficiency improvement over uniform signaling, with component-code parameters constrained by integrality conditions.