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Synchronization of chaotic Colpitts oscillators with applications to binary communications

In this paper, a synchronization of chaotic Colpitts oscillators with applications to binary communications is described. In this approach, the transmitter contains a chaotic Colpitts oscillator with a parameter that is modulated by an information signal. Each symbol to be transmitted is coded as an attractor in Colpitts oscillator. The receiver consists of a synchronous chaotic subsystem augmented with a low-pass filter, a circuit for addition and two multiplier circuits. A proof of the synchronization effect is demonstrated using Lyapunov's theorem. It is shown that synchronization in the Colpitts system is a result of stable error dynamics between the transmitter and receiver. Results of simulations are presented.