A secure communication scheme using generalized modified projective synchronization of coupled Colpitts oscillators

A new scheme for secure information transmission is proposed using the generalized modified projective synchronization (GMPS) method. The linear transformation of the modified Colpitts oscillator, first introduced in Cristinel and Radu (Low-Power Realizations of Secure Chaotic Communication Schemes. IEEE Asia Pacific Conference on Circuits and Systems, 2000) is investigated prior to the more detailed study by Kammogne et al. (Journal of chaos. (2014). doi: 10.1155/2014/659647). This circuit is employed to encrypt the information signal. In the receiver end, by designing the controllers and the parameter update rule, GMPS between the transmitter and receiver systems is achieved and the unknown parameters are estimated simultaneously. Based on the Lyapunov stability theory, the controllers and corresponding parameters update rule are constructed to achieve generalized modified projective synchronization between the transmitter and receiver system with uncertain parameters. The original information signal can be recovered successfully through some simple operations by the estimated parameter. The message signal can be finally recovered by the identified parameter and the corresponding demodulation method. Numerical simulations are performed to show the validity and feasibility of the presented secure communication scheme.