### 2017　Fundamentals of Signal Processing

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Instructor(s)
Okawa Seiji  Sato Chiaki
Course component(s)
Lecture / Exercise
Mode of instruction

Day/Period(Room No.)
Wed3-4(S011)
Group
-
Course number
MEC.B331
Credits
1
2017
Offered quarter
1Q
Syllabus updated
2017/4/18
Lecture notes updated
-
Language used
Japanese
Access Index ### Course description and aims

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.

### Student learning outcomes

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 that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills ✔ Practical and/or problem-solving skills

### Class flow

Students will be given exercise problems at every lecture.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Fourier series and orthogonal relationships Exercise related to Fourier series
Class 2 Complex Fourier series, Parseval’s theorem Exercise related to Complex Fourier series
Class 3 Fourier transform of a limited section Exercise related to Fourier transform
Class 4 Characteristics of Fourier transform Exercise related to Fourier transform
Class 5 Discrete Fourier transform and delta function Exercise related to Discrete Fourier transform
Class 6 Sampling theorem and spectrum Exercise related to Sampling theorem
Class 7 Filtering of discrete data, Frequency filter and convolution, Fast Fourier Transform Exercise related to Fast Fourier Transform
Class 8 Summary and development Exercise

pending

### Reference books, course materials, etc.

Handouts will be provided as needed.

### Assessment criteria and methods

Exercises(40%) and tests(60%)

### 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 (i.e., required knowledge, skills, courses, etc.)

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