Chaotic synchronization of a secure system based on one-dimensional iterated maps

The design of a secure, digital communication scheme based on the chaotic iterations of the logistic map is proposed. A two-stage encryption technique encapsulates encrypted initial conditions in a synchronization interval and produces a keystream varying with the plaintext, at sampling clock rate. A proof of concept is provided by means of simulation. The overall coincidence probability, demonstrated by the system depends on the accuracy of the fixed-point calculations. Keywords—Digital chaotic circuit, logistic map, chaotic synchronization, secure communication, chaotic encryption.