English

Faulty Successive Cancellation Decoding of Polar Codes for the Binary Erasure Channel

Information Theory 2015-02-10 v2 math.IT

Abstract

We study faulty successive cancellation decoding of polar codes for the binary erasure channel. To this end, we introduce a simple erasure-based fault model and we show that, under this model, polarization does not happen, meaning that fully reliable communication is not possible at any rate. Moreover, we provide numerical results for the frame erasure rate and bit erasure rate and we study an unequal error protection scheme that can significantly improve the performance of the faulty successive cancellation decoder with negligible overhead.

Keywords

Cite

@article{arxiv.1404.1736,
  title  = {Faulty Successive Cancellation Decoding of Polar Codes for the Binary Erasure Channel},
  author = {Alexios Balatsoukas-Stimming and Andreas Burg},
  journal= {arXiv preprint arXiv:1404.1736},
  year   = {2015}
}

Comments

As presented at ISITA 2014