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Concatenated Forward Error Correction with KP4 and Single Parity Check Codes

Information Theory 2023-05-18 v3 math.IT

Abstract

Concatenated forward error correction is studied using an outer KP4 Reed-Solomon code with hard-decision decoding and inner single parity check (SPC) codes with Chase/Wagner soft-decision decoding. Analytical expressions are derived for the end-to-end frame and bit error rates for transmission over additive white Gaussian noise channels with binary phase-shift keying (BPSK) and quaternary amplitude shift keying (4-ASK), as well as with symbol interleavers and quantized channel outputs. The BPSK error rates are compared to those of two other inner codes: a two-dimensional product code with SPC component codes and an extended Hamming code. Simulation results for unit-memory inter-symbol interference channels and 4-ASK are also presented. The results show that the coding schemes achieve similar error rates, but SPC codes have the lowest complexity and permit flexible rate adaptation.

Keywords

Cite

@article{arxiv.2212.10523,
  title  = {Concatenated Forward Error Correction with KP4 and Single Parity Check Codes},
  author = {Diego Lentner and Emna Ben Yacoub and Stefano Calabrò and Georg Böcherer and Nebojša Stojanović and Gerhard Kramer},
  journal= {arXiv preprint arXiv:2212.10523},
  year   = {2023}
}

Comments

Submitted to IEEE Journal of Lightwave Technology on December 20, 2022; revised March 29, 2023; accepted April 5, 2023

R2 v1 2026-06-28T07:45:22.125Z