The lowest-possible BER and FER for any discrete memoryless channel with given capacity

  • Authors:

  • Johannes B. Huber;Thorsten Hehn

  • Affiliations:

  • Institute for Information Transmission, University of Erlangen-Nuremberg, Germany;Institute for Information Transmission, University of Erlangen-Nuremberg, Germany

  • Venue:
  • IEEE Transactions on Communications
  • Year:
  • 2009

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Abstract

We investigate properties of a channel coding scheme leading to the minimum-possible frame error ratio when transmitting over a memoryless channel with rate R C. The results are compared to the well-known properties of a channel coding scheme leading to minimum bit error ratio. It is concluded that these two optimization requests are contradicting. A valuable application of the derived results is presented.