Symbolic dynamics method for chaotic communications

A maximum likelihood estimation method is described as the receiving algorithm in a symbolic dynamics method of chaotic communication. This demonstrates significant improvement in performance over chaotic synchronisation based approaches. The technique also solves problems of phase slips and advances (which cause symbol deletions and insertions). Methods to reduce the complexity of the solution, without significant loss of performance, are described. The paper discusses the communication method from an information theoretic viewpoint, which demonstrates that the method has an inherent coding mechanism, which requires little excess bandwidth to achieve effective coding gain.