Stochastic decoding of LDPC codes over GF(q)

  • Authors:
  • Gabi Sarkis;Shie Mannor;Warren J. Gross

  • Affiliations:
  • Department of Electrical and Computer Engineering, McGill University, Montreal, Quebec, Canada;Department of Electrical and Computer Engineering, McGill University, Montreal, Quebec, Canada;Department of Electrical and Computer Engineering, McGill University, Montreal, Quebec, Canada

  • Venue:
  • ICC'09 Proceedings of the 2009 IEEE international conference on Communications
  • Year:
  • 2009

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Abstract

Nonbinary LDPC codes have been shown to outperform currently used codes for magnetic recording and several other channels. Currently proposed nonbinary decoder architectures have very high complexity for high-throughput implementations and sacrifice error-correction performance to maintain realizable complexity. In this paper, we present an alternative decoding algorithm based on stochastic computation that has a very simple implementation and minimal performance loss when compared to the sum-product algorithm. We demonstrate the performance of the algorithm when applied to a GF(16) code and provide details of the hardware resources required for an implementation.