2024 Faculty Courses School of Engineering Undergraduate major in Mechanical Engineering
Fundamentals of Signal Processing
- Academic unit or major
- Undergraduate major in Mechanical Engineering
- Instructor(s)
- Chiaki Sato
- Class Format
- Lecture/Exercise (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Wed
- Class
- -
- Course Code
- MEC.B331
- Number of credits
- 0.50.50
- Course offered
- 2024
- Offered quarter
- 1Q
- Syllabus updated
- Mar 14, 2025
- Language
- Japanese
Syllabus
Course overview and goals
This course focuses on signal processing, and covers the fundamentals of Fourier series and Fourier transform.
This approach/method is not only useful for solving partial differential equations found in fields of mechanical engineering, electrical engineering, information and communication engineering, but is applicable to many other areas.
Course description and aims
Fourier series, Fourier transform, a sampling theorem, a discrete Fourier transform, a fast Fourier transform and a frequency filter can be understood and ready to apply.
Keywords
Fourier series, Fourier transform, Sampling theorem, Discrete Fourier transform, Fast Fourier Transform, Frequency filter
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
- This class aims at learning 6 and 7 of learning objective.
Class flow
Students will be given exercise problems at every lecture.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | Linear systems and Fourier series |
Exercise related to Fourier series |
| Class 2 | Complex Fourier series |
Exercise related to Complex Fourier series |
| Class 3 | Application of Fourier Series |
Exercise related to Application of Fourier series |
| Class 4 | Fourier transform and convolution integral |
Exercise related to Fourier transform and convolution integral |
| Class 5 | Discrete Fourier transform |
Exercise related to Discrete Fourier transform |
| Class 6 | Sampling theorem |
Exercise related to Sampling theorem |
| Class 7 | Fast Fourier Transform |
Exercise related to Fast Fourier Transform |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
Upload on T2SCHOLA
Reference books, course materials, etc.
Handouts will be provided as needed.
Evaluation methods and criteria
Exercises(50%) , and Examination(50%)
Related courses
- MEC.B212 ： Complex Function Theory
- LAS.M101 ： Calculus I / Recitation
- LAS.M107 ： Calculus Recitation II
- MEC.B211 ： Ordinary Differential Equations
- LAS.M105 ： Calculus II
- MEC.B213 ： Partial Differential Equations
Prerequisites
Students who enrolled on or before March 31, 2023 (～22B) are not eligible to take this course in FY2024.