Chua's Circuit Chaotic Signals: Cyclostationary Properties And Prediction,

Chua's circuit has acquired wide attention because of its simple circuit structure and rich dynamical behaviors. This thesis mainly investigates the chaotic signals generated by the double-scroll attractor family of the circuits.Firstly, based on cyclostationary signal theory, the non-stationarity of the chaotic signals is analyzed. Simulations show that the signals exhibit the cyclostationarity. Then, the signals are further analyzed from the point of view of the time-frequency analyses. The time-frequency distribution characteristics are revealed and relations with the cyclostationarity are established from the physical mechanisms. Finally, the prediction of the chaotic signals are studied. Based on the distribution characteristics, a distribution-based decomposition prediction method is developed. Simulation shows that the proposed method has better prediction performance than the wavelet-based decomposition method can do.