訊號與系統(英文授課)

In this course, we would discuss the fundamental of signals and systems. We would also illustrate the computational methods for processing continuous-time/discrete-time signals. From time and frequency domains, in this class, we would introduce the representation of signals and analyze the functionality of systems. Key concepts and analysis theories would be covered including time-domain signal representation, time-domain system analysis, frequency-domain signal representation, frequency-domain system analysis, sampled continuous-time Signals, linear time-invariant systems, impulse response, frequency response, convolution, filtering, and Fourier transform. This course is also the entry to higher-level courses like image processing, communications, robot control, and machine learning.

No Prerequisite. Having the background of linear algebra is plus.

無備註

教學方法: Course Lecture with programming exercises. TA Office: EC118 TA:  陳作源 ooabcdexx@gmail.com  陳彥銨 my91015.cs08g@nctu.edu.tw  鄭智仁king601012003.cs08g@nctu.edu.tw  史可鑒shikejian0408@gmail.com Web: http://acm.cs.nctu.edu.tw

 Every two weeks, we would assign one homework. It can be paper-based or program-based homework.  Homework 40%, Midterm 30%, Final Exam 30%

• Time-Domain Representation of Continuous-Time Signals

  1. Representation of waveforms 2. Signal analysis and synthesis

  講授：

  3

• Time-Domain Analysis of Continuous-Time Systems

  1. Mathematical model of systems 2. System differential equation 3. System impulse response

  講授：

  3

• Frequency-Domain Representation of Continuous-Time Signals

  1. Frequency-domain representation 2. spectrum 3. LTI systems 4. Fourier series 5. Fourier transform

  講授：

  6

• Frequency -Domain Analysis of Continuous-Time Systems

  1. Frequency response of LTI systems 2. Amplitude and phase responses 3. Phase delay and group delay 4. Bode plots

  講授：

  6

• Sampled Continuous-Time Signals

  1. Digital signal processing 2. Analog-to-digital (A/D) 3. Digital-to-analog (D/A) 4. Frequency-domain analysis of sampling process

  講授：

  3

• Time-Domain Representation of Discrete-Time Signals

  1. Representation of some discrete waveforms 2. Discrete signal analysis and synthesis

  講授：

  3

• Time-Domain Analysis of Discrete-Time Systems

  1. Mathematical Model 2. Formulation of difference equations and unit pulse response 3. Recursive solution 4. Superposition solution 5. System Equation Solution

  講授：

  6

• Frequency-Domain Representation of Discrete-Time Signals

  1. Discrete-Time Fourier Series (DTFS) 2. Discrete-Time Fourier Transform (DTFT) 3. Discrete Fourier Transform (DFT) 4. Compare FT, FS, DTFT, DTFS, and DFT

  講授：

  6

• Frequency-Domain Analysis of Discrete-Time Systems

  1. System frequency response 2. Normalized frequency response

  講授：

  3

• Laplace Transform (Optional)

  1. Double-sided LT (bilateral LT) 2. Single-sided LT (unilateral LT) 3. System transfer function

  講授：

  3

• The z-Transform (Optional)

  1. Double-sided z-Transform (bilateral z-Transform) 2. Single-sided z-Transform (unilateral) 3. System transfer function

  講授：

  3

• Fundamental Concepts

  1. System and Signal 2. Continuous-time system and signal 3. Discrete-time system and signal

  講授：

  3

1.(Reference) Signals and Systems (2nd Edition) Alan V. Oppenheim, Alan S. Willsky, and S. Hamid (Author), Pearson 1996

地點

EC708

時間

Tuesday, 10:00 ~ 12:00

聯絡方式

chingchun@cs.nctu.edu.tw office: 54736