Discrete-time chaotic encryption systems .1. Statistical design approach

A systematic top down design of discrete-time continuous-value coder systems for information encryption is presented, From the axioms, that the coder should be a maximally disturbed and invertible (according to the information signal) channel a general structure containing a static nonlinearity and a dynamical subsystem is derived and the system characteristics are specified. It turns out, that the encoder necessarily exhibits chaotic behavior if it satisfies the design axioms. Some examples of systems are given which belong to the designed structural class. Realizations as well as the reliability under the condition of weak disturbances are considered in Part II and a cryptographical analysis is performed in Part III of this paper.