訊號與系統
Signal and System
| 節 | 週三 |
|---|---|
A 18:30–19:20 | 訊號與系統 EE130 3 節連堂 |
B 19:30–20:20 | |
C 20:30–21:20 |
* 根據陽明交大上課時間表所列
本課程學習以時域/頻域之數學函數分析與理論推導方式進行訊號與系統之處理與轉換,以協助解決實際工程設計問題, 課程內容為 1. 時域/頻域訊號表示方式與系統構成之基本觀念 2. Fourier, Laplace, Z 轉換之數理函數理論發展, 包括 -Fourier series and transform: CTFS/DTFS/CTFT/DTFT/DFT/FFT/Short time FT(音訊分析). -Laplace transform 及 系統建模 -取樣定理,訊號混疊 (Aliasing) -Z 轉換及離散時間系統建模 3. 數位濾波器架構, IIR/FIR 濾波器設計與程式實現 4. 瞭解工程或物理現象與數學描述模式之間的關係 5. 如何將訊號與系統理論設計逐步實現在實際工程應用: FFT 程式,數位濾波器程式,PID控制器程式 This course contains a comprehensive treatment of continuous-time and discrete-time signals,systems and transforms, from their theoretical mathematical foundations to practical implementation in engineering. 1. Signals and systems mathematical definition, the characteristics and the properties. 2. Fourier Series (FS), Fourier Transform (FT), and analysis in continuous and discrete time domain, including -CTFS/DTFS/CTFT/DTFT/DFT/FFT/Short Time FT. -Laplace Transform and System Modeling. -z-transform and Discrete-Time System Modeling. 3. Digital filter structures and Digital filters design: IIR/FIR 4. Applications to digital signal processing and control 5. FFT programming, Digital Filters programming, PID controller programming
微積分,工程數學(一) Calculus, Engineering Mathmatics
-以教科書章節順序自編Powerpoint講義(可課前先行自e-Campus 教學平台 下載)、課堂投影機播放講義講課、互動式討論、學生需對課程內容瞭解程度提出簡要說明
評分標準: -每章課後作業及平時學期課中表現: 20% -第一次期中考: 20% -第二次期中考: 30% -期末考: 30%
- Fundamental Concepts
- Time Domain Models of Systems
- Fourier Series (傅立葉級數: 時域訊號之振盪函數表示法) Fourier Transform (時域訊號轉換至頻域頻譜)
- Fourier Analysis and Discrete-Time Signals
- Fourier Analysis of Systems and Signal Processing
- Laplace Transform,Transfer Function Representation, and System Modeling
- Z Transform of a Discrete-Time Signal
- Design of Digital Filters
- Brief Review of Complex Variables
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction: Signals and systems mathematical definition, the characteristics and the properties. |
| 第 2 週 | LTI discrete systems: Time domain analysis, and convolution sum for LTI systems, properties and characteristics. |
| 第 3 週 | LTI continuous systems: Time domain analysis, and convolution integral for LTI systems, properties and characteristics |
| 第 4 週 | Course Summary and Quiz 1 |
| 第 5 週 | Fourier analysis: Frequency domain representation of signals, periodic signals and Fourier series, Fourier series properties, conversion tables. |
| 第 6 週 | Fourier analysis: Frequency domain representation of signals, aperiodic signals and Fourier transform, Fourier Transform properties, conversion tables, inverse Fourier transform. |
| 第 7 週 | Fourier analysis: System representation with Fourier transform, region of convergence and stability, block diagram representation. |
| 第 8 週 | Discrete Fourier analysis: Frequency domain representation of discrete time signals, periodic signals and discrete Fourier series, discrete Fourier series properties, conversion tables. |
| 第 9 週 | Discrete Fourier analysis: Frequency domain representation of discrete time signals, aperiodic signals and discrete Fourier transform: DTFT, DFT, and Fast Fourier Transform (FFT) |
| 第 10 週 | FFT, Short Time Fourier Transform (STFT) and Quiz 2 |
| 第 11 週 | Laplace Transform: Frequency domain representation of continuous time systems, definition, properties, inverse Laplace transform. |
| 第 12 週 | Laplace Transform: Laplace transform properties, duality properties, region of convergence, stability, system modeling. |
| 第 13 週 | Z Transform: Frequency domain representation of discrete time systems, definition, properties, inverse Z transform. |
| 第 14 週 | Z Transform: Z transform properties, duality properties, region of convergence, stability. |
| 第 15 週 | Digital Filters structure: IIR/FIR filter |
| 第 16 週 | Digital Filters: IIR/FIR filter design and implementation |
| 第 17 週 | Digital Filters: IIR/FIR filter design and implementation |
| 第 18 週 | Course Summary and Final Exam. |
-Text book: Edward W. Kamen, Bonnie S. Heck, “Fundamentals of Signals and Systems Using the Web and MATLAB” Third Edition, Prentice Hall -Reference book: B.P. Lathi, “ Linear Systems and Signals”, Second edition, Oxford University Press, New York
- 地點
- 工程五館 426室
- 時間
- 週二14:00~ 15:00
- 聯絡方式
- 03 5712121 ~ 55132 stonecheng@mail.nctu.edu.tw