From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance

@article{Mondelli2014FromPT,
  title={From Polar to Reed-Muller Codes: A Technique to Improve the Finite-Length Performance},
  author={Marco Mondelli and Seyed Hamed Hassani and R{\"u}diger L. Urbanke},
  journal={IEEE Transactions on Communications},
  year={2014},
  volume={62},
  pages={3084-3091}
}
We explore the relationship between polar and RM codes and we describe a coding scheme which improves upon the performance of the standard polar code at practical block lengths. Our starting point is the experimental observation that RM codes have a smaller error probability than polar codes under MAP decoding. This motivates us to introduce a family of codes that “interpolates” between RM and polar codes, call this family Cinter = {Cα : α ∈ [0, 1j}, where Cα|α=1 is the original polar code, and… CONTINUE READING
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