Course Syllabus

Course Information：

Year-Semester Course Number Course Name Phase Credits Hours Required/Elective Instructor Class Student NO. Withdraw Note

Fall Semester
Year 2026 363328 Random Processes 1 3.0 3 ★ JENNSEN LEU GEE 1 0 預選32人

Year-Semester	Course Number	Course Name	Phase	Credits	Hours	Required/Elective	Instructor	Class	Student NO.	Withdraw	Note
Fall Semester Year 2026	363328	Random Processes	1	3.0	3	★	JENNSEN LEU	GEE	1	0	預選32人

Course Plan：

Instructor JENNSEN LEU　Office Hours

Email jsleu@ntut.edu.tw

Last Updated 2026-05-27 09:38:51

Course Objective 1. 機率空間2. 隨機變數、向量、程序3. 期望值4.隨機序列的收斂性和大數法則5.有用的隨機程序 6.穩定性隨機程序及條件式期望值.

Course Schedule 第 1-3 週 Probabilities and measures 第 4-6 週 Random variables, random vectors and random processes 第 7-10 週 Expectation and Inequality(含mid-term exam-4problems) 第 10-12 週 Convergence of Random Sequence, Law of Large Number and Characteristic Functions. 第 13-15 週 Specification of random processes 第 16-17 週 Stationary, conditional probability/expectation, and ergodic properties 第 18 週 Final exam - 6 problems

Evaluation and grading policy 成績評量，主要來自1次期中考、1次期末考和出席，考數題目共10題，每題10分，期中考4題，期末考6題，出席分數滿分10分，由考試10題和出席分數挑最佳十個分數總合做為原始成績，再以此原始成績調整。助教: 綜科館212 數位影像視訊研究室

Materials All right reserved. Do not reproduce without permission.

Foreign-language textbooks:Yes
參考書目: 1.“Random Processes – a mathematical approach for engineers”, Robert M. Gray and Lee D. Davisson, Prentice-Hall 1986. 2.“Probability and Measure”, 3rd Edition, Patrick Billingsley, New York-Wiley, 1995. 3.“Probability, Random Variables, and Stochastic Processes”, 3rd Edition, Athanasios Papoulis, McGraw-Hill, 1991. 4. “Introduction to Random processes”, Eugene Wong.

The access to curricular consultation 有問題可以下課提問或使用email事先預約時間，至研究室問問題。

Expanding teaching and resources ● 無 (None)

The course corresponds to the SDGs SDG1：消除貧窮（No Poverty）
SDG4：優質教育（Quality Education）
SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth）
SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）

Does the course incorporate AI ● 無（None）

Note
　

Instructor	JENNSEN LEU　Office Hours
Email	jsleu@ntut.edu.tw
Last Updated	2026-05-27 09:38:51
Course Objective	1. 機率空間2. 隨機變數、向量、程序3. 期望值4.隨機序列的收斂性和大數法則5.有用的隨機程序 6.穩定性隨機程序及條件式期望值.
Course Schedule	第 1-3 週 Probabilities and measures 第 4-6 週 Random variables, random vectors and random processes 第 7-10 週 Expectation and Inequality(含mid-term exam-4problems) 第 10-12 週 Convergence of Random Sequence, Law of Large Number and Characteristic Functions. 第 13-15 週 Specification of random processes 第 16-17 週 Stationary, conditional probability/expectation, and ergodic properties 第 18 週 Final exam - 6 problems
Evaluation and grading policy	成績評量，主要來自1次期中考、1次期末考和出席，考數題目共10題，每題10分，期中考4題，期末考6題，出席分數滿分10分，由考試10題和出席分數挑最佳十個分數總合做為原始成績，再以此原始成績調整。助教: 綜科館212 數位影像視訊研究室
Materials	All right reserved. Do not reproduce without permission. Foreign-language textbooks:Yes 參考書目: 1.“Random Processes – a mathematical approach for engineers”, Robert M. Gray and Lee D. Davisson, Prentice-Hall 1986. 2.“Probability and Measure”, 3rd Edition, Patrick Billingsley, New York-Wiley, 1995. 3.“Probability, Random Variables, and Stochastic Processes”, 3rd Edition, Athanasios Papoulis, McGraw-Hill, 1991. 4. “Introduction to Random processes”, Eugene Wong.
The access to curricular consultation	有問題可以下課提問或使用email事先預約時間，至研究室問問題。
Expanding teaching and resources	● 無 (None)
The course corresponds to the SDGs	SDG1：消除貧窮（No Poverty） SDG4：優質教育（Quality Education） SDG8：尊嚴就業與經濟發展（Decent Work and Economic Growth） SDG9：產業創新與基礎設施（Industry, Innovation and Infrastructure）
Does the course incorporate AI	● 無（None）
Note