本論文主旨在於探討基於延伸型卡爾曼濾波器之混沌通訊。首先，利用最佳線性化方法來找出混沌系統操作點的精確線性化模型。然後使用延伸型卡爾曼濾波器來估測已加入訊號於系統之參數與狀態。經由延伸型卡爾曼濾波器與最佳線性化模型之設計，可以將接收端之訊號完整的重建。由例題和模擬結果可顯示出本方法之效能。

An extended-Kalman-filter-based chaotic communication is first proposed in this thesis. First, the optimal linearization technique is utilized to find the exact linear models of the chaotic system at operating states of interest. Then, an extended Kalman filter (EKF) algorithm is used to estimate both the parameters and states where the message is already embedded. By the extended Kalman filter together with the optimal linear model, the message can be recovered well at the receiver’s end. Numerical examples and simulations are given to show the effectiveness of the proposed methodology.

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