English

The Error-Pattern-Correcting Turbo Equalizer

Information Theory 2015-03-13 v2 math.IT

Abstract

The error-pattern correcting code (EPCC) is incorporated in the design of a turbo equalizer (TE) with aim to correct dominant error events of the inter-symbol interference (ISI) channel at the output of its matching Viterbi detector. By targeting the low Hamming-weight interleaved errors of the outer convolutional code, which are responsible for low Euclidean-weight errors in the Viterbi trellis, the turbo equalizer with an error-pattern correcting code (TE-EPCC) exhibits a much lower bit-error rate (BER) floor compared to the conventional non-precoded TE, especially for high rate applications. A maximum-likelihood upper bound is developed on the BER floor of the TE-EPCC for a generalized two-tap ISI channel, in order to study TE-EPCC's signal-to-noise ratio (SNR) gain for various channel conditions and design parameters. In addition, the SNR gain of the TE-EPCC relative to an existing precoded TE is compared to demonstrate the present TE's superiority for short interleaver lengths and high coding rates.

Keywords

Cite

@article{arxiv.1003.5648,
  title  = {The Error-Pattern-Correcting Turbo Equalizer},
  author = {Hakim Alhussien and Jaekyun Moon},
  journal= {arXiv preprint arXiv:1003.5648},
  year   = {2015}
}

Comments

This work has been submitted to the special issue of the IEEE Transactions on Information Theory titled: "Facets of Coding Theory: from Algorithms to Networks". This work was supported in part by the NSF Theoretical Foundation Grant 0728676.

R2 v1 2026-06-21T15:04:07.821Z