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

1999; Institute of Electrical and Electronics Engineers; Volume: 45; Issue: 6 Linguagem: Inglês

10.1109/18.782171

1557-9654

A. Jimenez Felstrom, Kamil Sh. Zigangirov,

Cooperative Communication and Network Coding

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/sup -5/ and a decoding complexity of the same magnitude as a Viterbi decoder for codes having memory M=10.