Signal and Systems 教師：潘欣泰

本課程目標 學生能熟悉離散及連續信號的時域和頻 域的特性及運算 對線性非時變 (LTI) 系統的頻域分析及 其輸入輸出信號的關係有基本的瞭解 學生在學習完本課程之後，應能熟悉傅 立葉分析 (Fourier analysis) 及拉式轉換 (Laplace Transform) 的相關技巧。

授課方式 1. 投影片授課 2. 抽問 3. 測驗 4. Matlab 實驗

課程內容 1. Introduction 2. Time-domain reprtesentations of linear time- invariant systems 3. Fourier reprtesentations of signal and linear time-invariant systems 4. Application of Fourier representations to mixed signal classes 5. Representation signals by using continuous- time complex exponentials: the Laplace transform 6. Representation signals by using continuous- time complex exponentials: the Laplace transform

上課書籍 教科書： Simon Haykin and Barry Van Veen, "Signals and Systems," 2nd Edition, Wiley, 參考書： Alan V. Oppenheim, Alan S. Willsky, and S. Hamid Nawab, "Signals and Systems," Prentice Hall, 1997.

評分 平時測驗 20% Homework 30% 期中考 20% 期末考 20% 出席成績 10%

1.1 What is a signal? A signal is formally defined as a function of one or more variables that conveys information on the nature of a physical phenomenon. one dimensional (depend on single variable) — e.g. speech signal one dimensional (depend on single variable) — e.g. speech signal Multidimensional (depend on two or more variable)– e.g. image singnal (two dimensional)Multidimensional (depend on two or more variable)– e.g. image singnal (two dimensional) 1.2 What is a system? Figure 1.1 (p. 2) Block diagram representation of a system. A system is formally defined as an entity that manipulates one or more signals to accomplish a function, thereby yielding new signals.

EEG signal

EEG signal & sleep

EEG, EOG and EMG & sleep

ECG signal

Speech signal