The statistical mechanics of turbo codes |
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| Authors: | A Montanari N Sourlas |
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| Institution: | (1) Scuola Normale Superiore and INFN – Sezione di Pisa, 56100 Pisa, Italy, IT;(2) Laboratoire de Physique Théorique de l'école Normale Supérieure (UMR 8549, Unité Mixte de Recherche du Centre National de la Recherche Scientifique et de l'école Normale Supérieure.), 24 rue Lhomond, 75231 Paris Cedex 05, France, FR |
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| Abstract: | The “turbo codes”, recently proposed by Berrou et al. 1] are written as a disordered spin Hamiltonian. It is shown that there exists a threshold such that for signal to noise ratios the error probability per bit vanishes in the thermodynamic limit, i.e. the limit of infinitely long sequences. The value of the threshold has been computed for two particular turbo codes. It is
found that it depends on the code. These results are compared with numerical simulations.
Received 14 March 2000 and Received in final form 17 July 2000 |
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| Keywords: | PACS 75 10 Hk Classical spin models - 75 10 Nr Spin-glass and other random models - 89 70 +c Information science |
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