Blind recognition of binary cyclic codes

A solution to blind recognition of binary cyclic codes is proposed in this paper. This problem could be addressed on the context of non-cooperative communications or adaptive coding and modulations. We consider it as a reverse engineering problem of error-correcting coding. The proposed algorithm recovers the encoder parameters of a cyclic, coded communication system with the only knowledge of the noisy information streams. By taking advantages of soft-decision outputs of the channel and by employing statistical signal-processing methods, it achieves higher recognition performances than existing algorithms which are based on algebraic approaches in hard-decision situations. By comprehensive simulations, we show that the probability of false estimation of coding parameters of our proposed algorithm is much lower than the existing algorithms, and falls rapidly when signal-to-noise ratio increases.