一、課程說明(Course Description)
This is a graduate level course in mathematical methods for system and signal analysis. The purpose is to give the students a comprehensive view of the mathematics prevalent in contemporary research and practice. The first part is a follow-up to the introductory discrete-time signal processing with emphasis on the processing of signals from random processes. The second part is to present how the linear algebra is used in the analysis of signals with a thorough discussion of the eigen-based method. Some selected papers from the field of signal processing will be discussed in the third part of this class.

二、指定用書(Text Books)
Lecture notes and journal papers in the area of signal processing.

三、參考書籍(References)
1. Statistical Digital Signal Processing and Modeling, Monson H. Hayes, John
Wiley & Sons, 1996.
2. Mathematical Methods and Algorithms for Signal Processing, Todd K. Moon and
Wynn C. Stirling, Prentice Hall, 2000.

四、教學方式(Teaching Method)
課堂板書授課,每周上課 150 分鐘

五、教學進度 (Syllabus)
Part 1:
- Signals and Systems – A review
- Discrete-Time Random Processes
- Spectral Analysis
- Adaptive Filtering
Part 2:
- Linear Algebra – A review
- Eigenvalues and Eigenvectors, Singular Value Decomposition, and Principal
Component Analysis
- Estimation Theory – Least Squares and Maximum Likelihood Methods
Part 3:
Selected topics on computational intelligence in power plant signal processing:
- Identification of NPP severe accident initiating events,
- Optimization algorithms and reactor core load pattern design.

六、成績考核(Evaluation)
1. Computer assignments 10% (3-5 assignments)
2. Midterm Exam 40%
3. Project pre-presentation 10% (10 min presentation + 2 min questioning)
4. Project final Presentation 25% (25 min presentation + 5 min questioning)
5. Project report 15% (4 pages A4, two-column, in conference paper format)

七、參考期刊(Journal lists)
- IEEE Transactions on Signal Processing
- IEEE Transactions on Biomedical Engineering
- Pattern Recognition
- Journal of Neuroscience Methods
- Annals of Nuclear Energy


八、可連結之網頁位址
iLMS