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Signal and Systems

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) 及 z- 轉換 (z transform) 的相關技巧。. 授課方式. 投影片授課 抽問 測驗 Matlab 實驗 . 課程內容. Introduction

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Signal and Systems

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  1. Signal and Systems 教師：潘欣泰

  2. 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)及z-轉換(z transform)的相關技巧。

  3. 授課方式 • 投影片授課 • 抽問 • 測驗 • Matlab 實驗

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

  5. 上課書籍 • 教科書：Simon Haykin and Barry Van Veen, "Signals and Systems," 2nd Edition, Wiley, 2003. • 參考書：Alan V. Oppenheim, Alan S. Willsky, and S. Hamid Nawab, "Signals and Systems," Prentice Hall, 1997.

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

  7. 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 • Multidimensional (depend on two or more variable)– e.g. image singnal (two dimensional) 1.2 What is a system? A system is formally defined as an entity that manipulates one or more signals to accomplish a function, thereby yielding new signals. Figure 1.1 (p. 2)Block diagram representation of a system.

  8. EEG signal

  9. EEG signal & sleep

  10. EEG, EOG and EMG & sleep

  11. ECG signal

  12. Speech signal

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