訊號與系統 (英文班)

Signals and Systems is a basic course in electrical engineering at all levels. It is a prerequisite to: Digital signal processing, Digital image processing, Communication systems and theory, Control systems and theory, etc. The main aim of this course is to provide students with the mathematical background in (1) representing and processing both the continuous-time (CT) and discrete-time (DT) signals, and (2) modeling and characterizing both the CT and DT systems, including how the systems are applied to signal processing. Topics discussed include both the time-domain and frequency-domain methods for signal processing and system analysis as well as Laplace transform and z-transform for respectively continuous and discrete system representation and analysis.

Calculus

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One midterm exam: 20% One final exam: 30% In-class activity (including quizzes): 20% Computer work: 30%

• Introduction

  1. What is a Signal? Basic operations on signals; Classification of signals; Elementary signals 2. What is a System? System operations; Properties of systems.

• Time-Domain Representations of Linear Time-Invariant (LTI) Systems

  1. Convolution sum; Convolution integral; 2. LTI system interconnections; 3. Impulse response; Step response; 4. Differential /difference equation representation of (CT/DT) LTI systems; 5. Block diagram representations and State-variable descriptions of LTI systems

• Fourier Representations of Signals & LTI Systems

  1. Complex sinusoids and Frequency response of LTI systems; 2. Fourier Representations for Four classes of Signals; 3. Discrete-time Fourier Series (DTFS) and Fourier Transform (DTFT); 4. Continuous-Time FS and FT

• Laplace Transform

  1. Laplace transform (LT) and s-plane; 2. Unilateral LT, ROC (region of convergence), properties and applications; 3. Bilateral LT, ROC, properties, applications; 4. Transfer functions 5. Poles/zeros and frequency responses.

• The z-Transform

  1. The z-Transform (ZT) 2. Properties of ROC (region of convergence) and ZT; 3. Inverse ZT; 4. Transfer function 5. Poles/Zeros and frequency response; 6. Block diagram of implementing DT system in z-domain 7. Unilateral ZT

Signals and Systems (2nd ed), by S. Haykin and B. Van Veen, John Wiley & Sons, Inc., 2003 (Wiley International Edition)

地點

My office: EE 756 (on the 7th floor of the fifth Engineering Building)

時間

By appointment.

聯絡方式

By e-mail: pclo@cn.nctu.edu.tw or phone call (ext 31667)