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On the Asymptotic Performance of Bit-Wise Decoders for Coded Modulation

Information Theory 2014-04-23 v1 math.IT

Abstract

Two decoder structures for coded modulation over the Gaussian and flat fading channels are studied: the maximum likelihood symbol-wise decoder, and the (suboptimal) bit-wise decoder based on the bit-interleaved coded modulation paradigm. We consider a 16-ary quadrature amplitude constellation labeled by a Gray labeling. It is shown that the asymptotic loss in terms of pairwise error probability, for any two codewords caused by the bit-wise decoder, is bounded by 1.25 dB. The analysis also shows that for the Gaussian channel the asymptotic loss is zero for a wide range of linear codes, including all rate-1/2 convolutional codes.

Keywords

Cite

@article{arxiv.1306.4009,
  title  = {On the Asymptotic Performance of Bit-Wise Decoders for Coded Modulation},
  author = {Mikhail Ivanov and Alex Alvarado and Fredrik Brannstrom and Erik Agrell},
  journal= {arXiv preprint arXiv:1306.4009},
  year   = {2014}
}
R2 v1 2026-06-22T00:35:20.319Z