Abstract
The method of truncated chaotic synchronization is suggested for digital speech communication. The sequence, composed by truncating some byte segments from the low-dimensional chaotic attractor, demonstrates complicated dynamics and high dimension. Predicting the dynamics of the truncated map through the local approximation method becomes very difficult. However, synchronization lets the message be exactly recovered. The synchronization condition is deduced to synchronize two systems of the truncated one-way coupled ring maps. The sensitivity of synchronization to parameter mismatch is discussed for the security in communication. For the mismatch of parameters or keys, the probability of decoding the message through guessing the keys is below 2-200. The scheme of truncated chaotic synchronization has strong security in encoding message.
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