Time-varying periodic convolutional codes with low-density parity-check matrix

  • Authors:
  • A. Jimenez Felstrom;K. S. Zigangirov

  • Affiliations:
  • Dept. of Inf. Technol., Lund Univ.;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

We present a class of convolutional codes defined by a low-density parity-check matrix and an iterative algorithm for decoding these codes. The performance of this decoding is close to the performance of turbo decoding. Our simulation shows that for the rate R=1/2 binary codes, the performance is substantially better than for ordinary convolutional codes with the same decoding complexity per information bit. As an example, we constructed convolutional codes with memory M=1025, 2049, and 4097 showing that we are about 1 dB from the capacity limit at a bit-error rate (BER) of 10-5 and a decoding complexity of the same magnitude as a Viterbi decoder for codes having memory M=10