Group structure of turbo-codes

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Group structure of turbo-codes

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The author discusses the group property of turbo-codes when considered as a periodic linear system. It is shown that the interleaving procedure provides a homomorphism between different encoded sequences and thereby breaks the low weight sequences by a factor of, at most, 1/2r, where r is the constraint length of the code.

Inspec keywords: concatenated codes; error correction codes; convolutional codes

Other keywords: turbo-codes; group structure; encoded sequences; interleaving procedure; periodic linear system

Subjects: Codes

References

    1. 1)
      • S. Benedetto , G. Montorsi . Design of parallel concatenated convolutional codes. IEEE Trans. Commun. , 591 - 600
    2. 2)
      • L.C. Perez , J. Seghers , D.J. Costello . A distance spectrum interpretation of turbo codes. IEEE Trans. Inf. Theory , 1698 - 1709
    3. 3)
      • Divsalar, D., Pollara, F.: `On the design of turbo codes', 42-123, JPL TDA Progress Report, 15 November 1995.
    4. 4)
      • S.W. Golomb . (1967) Shift register sequences.
    5. 5)
      • Berrou, C., Glavieux, A., Thitimajshima, P.: `Near Shannon limit error-correctingcoding and decoding: turbo-codes', Proc. IEEE Int. Conf. on Comm. 1993(ICC'93), May 1993, Geneva, p. 1064–1070.
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