課程名稱 |
訊號與系統 Signals and Systems |
開課學期 |
100-2 |
授課對象 |
工學院 機械工程學系 |
授課教師 |
李 綱 |
課號 |
ME5224 |
課程識別碼 |
522 U5080 |
班次 |
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學分 |
3 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期二5,6,7(12:20~15:10) |
上課地點 |
綜103 |
備註 |
系統控制知識領域選修(99學年度以前入學學生適用)。 總人數上限:60人 |
Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1002_signals_systems |
課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
課程大綱
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課程概述 |
1. Continuous-time and Discrete-time Signals
2. System and Laplace Transform Overview
3. Linear Time-invariant (LTI) Systems
4. Continuous and Discrete time Fourier Series
5. Fourier Transform (CFT and DFT) and fast Fourier Transform (FFT)
6. Time and Frequency Characterization of Signals and Systems
7. Sampling
8. z-Transform
9. Modified z-Transform and its Applications
10. Filter Overview
11. Finite Impulse Response (FIR) Digital Filter Design
12. Infinite Impulse Response (IIR) Digital Filter Design
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課程目標 |
介紹訊號與系統的基本概念及應用,著重於離散訊號與系統。使同學能整合訊號與系統的概念,對訊號與系統有一完整的認識。 |
課程要求 |
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預期每週課後學習時數 |
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Office Hours |
每週二 16:30~17:30 每週四 12:00~13:30 |
指定閱讀 |
Simon Haykin and Barry Van Veen, Signals and Systems. 2nd ed., John Wiley & Sons, Inc. ISBN: 978-0-471-37851-8 |
參考書目 |
Oppenheim, Alan, and Alan Willsky. Signals and Systems. 2nd ed. Upper Saddle
River, NJ: Prentice Hall, 1996. ISBN: 9780138147570. |
評量方式 (僅供參考) |
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週次 |
日期 |
單元主題 |
Week 1 |
02/21 |
Introduction: What is a signal/system? Classification of signals. Basic operations on signals. Elementary signals. System viewed as interconnections of operations. Properties of systems. |
Week 2 |
03/06 |
Time-Domain Representations of Linear Time-Invariant Systems: convolution sum, convolution integral, interconnections of LTI systems, LTI system properties versus impulse response, step response, difference and differential equation representations of LTI systems. |
Week 3 |
03/13 |
Time-Domain Representations of LTI Systems: Differential and difference equation representations of LTI systems, block diagram representations, state-variable representations. |
Week 4 |
03/20 |
Fourier Representations of Signals & LTI Systems: DTFS, FS, DTFT, FT, properties of Fourier representations |
Week 5 |
03/27 |
1. Fourier Representations of Signals & LTI Systems: inverse FTs by partial-fraction expansions, multiplication/scaling/convolution/time-and-frequency shift properties, Parseval relationships, time-bandwidth product, duality
2. Applications of Fourier Representations to Mixed Signal Classes |
Week 6 |
04/10 |
1.Fourier Representations of Signals & LTI Systems: inverse FTs by partial-fraction expansions, multiplication/scaling/convolution/time-and-frequency shift properties, Parseval relationships, time-bandwidth product, duality |
Week 7 |
04/17 |
Fourier Representations of Signals & LTI Systems: inverse FTs by partial-fraction expansions, multiplication/scaling/convolution/time-and-frequency shift properties, Parseval relationships, time-bandwidth product, duality |
Week 8 |
04/24 |
1. Take-home Midterm Exam; 2. Applications of Fourier Representations to Mixed Signal Classes: FT representations of periodic signals, convolution and multiplication with mixtures of periodic and non-periodic signals, FT representation of DT signals, sampling, signal reconstruction, DT processing of CT signals, FS representations of finite-duration non-periodic signals, DTFS approximation to FT, FFT |
Week 9 |
05/01 |
Application to Communication Systems: types of modulation, amplitude modulation,double sideband-suppressed carrier modulation, multiplexing, phase and group delays; |
Week 10 |
05/08 |
Signal Representations by CT Complex Exponentials: Laplace Transform, region of convergence, unilateral and bilateral Laplace transform, transfer function, causality and stability |
Week 11 |
05/15 |
Application to Communication Systems: types of modulation, amplitude modulation,double sideband-suppressed carrier modulation, multiplexing, phase and group delays; |
Week 12 |
05/22 |
Representing Signals by Using Discrete-Time Complex Exponentials: z-transform, region of convergence, causality and stability, determining the frequency response from poles and zeros |
Week 13 |
05/29 |
Applications to Filters and Equalizers: distortionless transmission, low-pass filters, approximating functions, frequency transformation, passive filters, digital filters, FIR & IIR digital filters, linear distortion, equalization. |
Week 14 |
06/05 |
Applications to Filters and Equalizers: distortionless transmission, low-pass filters, approximating functions, frequency transformation, passive filters, digital filters, FIR & IIR digital filters, linear distortion, equalization. |
Week 15 |
06/12 |
Applications to Linear Feedback Systems: feedback concepts, sensitivity analysis, effect of feedback on disturbance or noise, distortion analysis, operational amplifiers, control systems, transient response of low-order systems, stability problem, Routh-Hurwitz criterion, Nyquist stability criterion, Bode diagram, sampled-data systems |
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