Article,

Turbo Codes: the Phase Transition

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The European Physical Journal B - Condensed Matter and Complex Systems, 18 (1): 121--136 (2000)
DOI: 10.1007/s100510070085

Abstract

Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In reference 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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