Concatenated Forward Error Correction With KP4 and Single Parity Check Codes

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...

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Bibliographic Details
Published in:Journal of lightwave technology 2023-09, Vol.41 (17), p.5641-5652
Main Authors: Lentner, Diego, Yacoub, Emna Ben, Calabro, Stefano, Bocherer, Georg, Stojanovic, Nebojsa, Kramer, Gerhard
Format: Article
Language:English
Subjects:
Adaptive optics
AWGN
Binary phase shift keying
Bit error rate
Channels
Codes
concatenated codes
Decision analysis
Error analysis
Error correction
error probability
Ethernet
Forward error correction
Hamming codes
Mathematical analysis
Optical receivers
Optical switches
Parity
parity check codes
Random noise
Reed-Solomon codes
Soft decision decoding
Symbols
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Summary: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.
ISSN:0733-8724
1558-2213
DOI:10.1109/JLT.2023.3269325