Concatenated Forward Error Correction with KP4 and Single Parity Check Codes

TL;DR

This paper analyzes concatenated forward error correction schemes combining KP4 Reed-Solomon outer codes with SPC inner codes, deriving error rate expressions and comparing performance and complexity over various channels.

Contribution

It introduces analytical expressions for error rates of concatenated codes with SPC and KP4, and compares their performance and complexity with other coding schemes.

Findings

SPC codes offer lower complexity and flexible rate adaptation.

Error rates of concatenated schemes are similar across different inner codes.

Simulation confirms theoretical error rate predictions.

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.