訊號與系統

"Signals and Systems" is fundamental to many fields such as signal processing (e.g., AI), communications, control, and medical devices. This course will present a variety of analysis methods along with practical computer/programming examples.

Calculus; Matlab (Optional)

無備註

Course website: https://sites.google.com/nctu.edu.tw/jeng/ss2021?authuser=0 Recommended Readings: Alan V. Oppenheim and Alan S. Willsky, with S. Hamid Nawab, Signals and Systems, 2nd Ed., Pearson New International Ed., Eurasia Book Co. , 2016. http://cwww.ee.nctu.edu.tw/~dwlin/courses/19ss/ (交大電子工程系林大衛教授) https://mcube.nctu.edu.tw/wiki/core/pmwiki.php?n=Course.SS2015 (交大電子工程系杭學鳴教授) http://twins.ee.nctu.edu.tw/courses/ss_19/index.htm (交大電子工程系劉志尉教授) http://ocw.aca.ntu.edu.tw/ntu-ocw/ocw/cou/103S207 (台大電機工程系李琳山教授) https://www.ee.nthu.edu.tw/~mlli/courses/courses.html (清大電機工程系李夢麟教授) https://www.ee.nthu.edu.tw/tljong/ (清大電機工程系鐘太郎教授)

Homework (6 times): 24% Quiz (twice): 15% Midterm: 21% Final: 35% Bonus: 5%

• Topic 1- Fundamentals

  What is a signal? What is a system? Classification of signals Basic operations on signals Elementary signals Systems viewed as interconnection of operations Properties of systems Noise Exploring concepts with Matlab

  講授：

  3

  示範：

  0.5

  實作：

  0.5

  備註：HW#1

• Topic 2- Linear Time Invariant Systems

  1. Impulse Response Convolution Sum Convolution Sum Evaluation Procedure Convolutional Integral Convolution Integral Evaluation Procedure Interconnections of LTI Systems Relationships between LTI Systems Properties and Impulse Response 2. Step Response Differential and Difference Equation Representation Differential and Difference Equation Representation of LTI Systems Solving Differential and Difference Equations Characteristics of Systems Described by Differential and Difference Eqns A. Block Diagram Block Diagram Representation B. State-Variable Description State-Variable Description of LTI Systems

  講授：

  5

  實作：

  1

  備註：HW#2, Quiz#1

• Topic 3- Fourier Theory

  1. Why Fourier Representations ? Complex Sinusoids and Frequency Response of LTI Systems 2. What Are the Fourier Representations ? Fourier Representations for Four Classes of Signals (Introduction) DT Periodic Signals: The Discrete-Time Fourier Series (DTFS) CT Periodic Signals: The (Continuous-Time) Fourier Series (CTFS) DT Nonperiodic Signals: The Discrete-Time Fourier Transform (DTFT) CT Nonperiodic Signals: The (Continuous-Time) Fourier Transform (CTFT) Properties of Fourier Representations (Summary and Comparison of Four Rep's.) 3. Properties of the Fourier Representations Linearity and Symmetry Properties Scaling Properties Time- and Frequency-Shift Properties Convolution Property Multiplication Property Differentiation and Integration Properties Parseval Relationships Time-Bandwidth Product Duality 4. Computation of Inverse Fourier Transforms Finding Inverse Fourier Transforms by Using Partial-Fraction Expansions

  講授：

  8

  實作：

  1

  備註：HW#3, Midterm

• Topic 4- Fourier Applications

  Introduction Fourier Transform of Periodic Signals Convolution/Multiplication with Mixed Signals Fourier Transform of Discrete-Time Signals Sampling Reconstruction of Continuous-Time Signals Discrete-Time Processing of Continuous-Time Signals Fourier Series of Finite-Duration Nonperiodic Signals

  講授：

  8

  實作：

  1

  備註：HW#4

• Topic 5- Laplace Transform

  1. Unilateral (One-Sided) LT The Unilateral LT Properties of the Unilateral LT Inverse of Unilateral LT Solving Differential Equations with Initial Conditions LT Methods in Circuit Analysis 2. Bilateral (Two-Sided) LT The Bilateral LT Properties of the Bilateral LT Properties of the Region of Convergence (ROC) Inverse of Bilateral LT The Transfer Function of A CT LTI System Causality and Stability of CT LTI Systems 3. Approximate Sketch of Frequency Responses from Transfer Functions Determining Frequency Response from Poles and Zeros

  講授：

  5

  實作：

  1

  備註：HW#5, Quiz#2

• Topic 6- z-Transform

  Introduction The z-Transform Properties of the Region of Convergence (ROC) Properties of z-T Inverse of z-T The Transfer Function Causality and Stability The Unilateral z-T Determining Frequency Response from Poles and Zeros Computational Structure for Implementing DT LTI Systems

  講授：

  5

  實作：

  1

  備註：HW#6, Final

1. Classnote (course website, mainly based on 杭學鳴教授講義) 2. S. Haykin and B. Van Veen, Signals and Systems, 2nd Ed., Wiley, 2003.

地點

ED 625 or in class

時間

By appointment (email) 13:00-15:00 Monday,10:00-12:00 Wednesday

聯絡方式

jeng@nctu.edu.tw