Design of Chaos-Based Communication System with Use of the Derivative-Free Nonlinear Kalman Filter

A chaos-based communication system is designed in which extraction of the information signal at the receiver is performed with the use of a nonlinear filtering method of improved efficiency (Derivative-free nonlinear Kalman Filter). In the transmitter´s side the source of information undergoes modulation (encryption) using as carrier a chaotic signal generated by the Duffing oscillator. The modulated signal is transmitted through a communication channel and at the receiver´s side demodulation takes place, by exploiting the estimation provided for the state vector of the chaotic oscillator by the Derivative-free nonlinear Kalman Filter. The proposed filtering method has improved performance over the Extended Kalman Filter and reduces significantly transmission errors.