Turbo codes: the phase transition

Details Turbo codes: the phase transition Turbo codes: the phase transition

2000-03-13

arxiv.org/abs/cond-mat/0003218v1

Eur. Phys. J. B 18, 121 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

26 pages, 3 eps figures

Scientific paper

10.1007/s100510070085

Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In [1] they are mapped onto a class of disordered spin models. The analytical calculations concerning these models are reported here. We prove the existence of a no-error phase and compute its local stability threshold. As a byproduct, we gain some insight into the dynamics of the decoding algorithm.

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