An algorithm for identifying rate (n-1)/n catastrophic punctured convolutional encoders

  • Authors:

  • Feng-Wen Sun;A. J. Vinck

  • Affiliations:

  • Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 1996

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Abstract

It is known that both Viterbi and sequential decoding of convolutional codes can be greatly simplified by employing punctured convolutional codes, which are obtained by periodically deleting a part of the bits of a low-rate convolutional code. Even if the original low-rate convolutional code is noncatastrophic, some deleting maps may result in rate (n-1)/n catastrophic punctured encoders. An algorithm is presented to identify such encoders when the original rate 1/b encoder is antipodal. The major part of the algorithm solves a linear equation of /spl nu/+1 variables, where /spl nu/ is the constraint length of the original rate 1/b code.