2018 Fundamentals of Signal Processing

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Academic unit or major
Undergraduate major in Mechanical Engineering
Okawa Seiji  Sato Chiaki 
Course component(s)
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Syllabus 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 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



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.)

No prerequisites

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