Stability of inverse-system approaches in coherent chaotic communication

The stability of inverse-system approaches for communications using chaotic signals is studied in this paper. In this approach, the transmitter contains a chaotic oscillator with an input that is modulated by the information signal. The receiver is an approximation of the exact inverse-dynamics where the time-derivative of the transmitted signal is approximated as the output of a linear filter. Sufficient conditions for the stability of the demodulation procedure are established. Some effects of transmission noise and distortion on the performance of the demodulation procedure are also studied. Numerical simulations on the Colpitts oscillator are provided to illustrate our findings.