In this paper, we have developed a two-dimensional (2D) chaos-based encryption scheme that can be applied to signals with transmission bit errors in clinical electroencephalography (EEG) and mobile telemedicine. As opposed to one-dimensional (1D) chaos-based encryption, the proposed 2D schemes uses the concept of parallel processing to increase the encryption speed. An essential feature of the proposed scheme is that signals mapping of a 2D chaotic scrambler and a permutation scheme are used to obtain clinical EEG information that requires high-level encryption. Simulation results show that when the correct deciphering parameters are inputted, EEG signals with a transmission bit error rate (BER) of 10-7 are completely recovered. However, these signals can not be recovered if there is an error in the input parameters, for example, an initial point error of 0.00000001%.

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