2021 Fundamentals of Signal Processing

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Academic unit or major
Undergraduate major in Mechanical Engineering
Okawa Seiji  Sato Chiaki 
Course component(s)
Lecture / Exercise    (ZOOM)
Day/Period(Room No.)
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Academic year
Offered quarter
Syllabus updated
Lecture notes updated
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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.


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 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 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

Out-of-Class Study Time (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.


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Reference books, course materials, etc.

Handouts will be provided as needed.

Assessment criteria and methods


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.)

No prerequisites

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