2022 Acoustic Measurement Engineering

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Academic unit or major
Graduate major in Systems and Control Engineering
Hachiya Hiroyuki 
Class Format
Lecture    (Face-to-face)
Media-enhanced courses
Day/Period(Room No.)
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
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Course description and aims

This course covers the physical and engineering basis for using acoustic waves in measurements and imaging. Basic concept of this course can be easily applied to the measurement of electrical magnetic wave and elastic wave. The analysis of wave equation is essential for the understanding of resolution of acoustic imaging. The course include array signal processing. This technique is not only useful for acoustic imaging, but also for radar and non-destructive testing. Examples from medical ultrasound imaging and underwater sonar are included.

Student learning outcomes

At the end of this course, students will be able to:
1) Explain the meaning of the wave equation and basic wave solutions.
2) Explain the relation between wavelength and observable spatial frequency.
3)Understand radiation field from transducers and transducer arrays.
4) Analyze mathematically the image formation in medical ultrasound systems.


Wave equation, Array signal processing, Directivity, Resolution,Far acoustic field

Competencies that will be developed

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

Class flow

Towards the end of class, students are given exercise problems related to what is taught on that day to solve.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Wave equation in imaging and measurements Understand the derivation of wave equation; Explain the expression of plane and spherical waves.
Class 2 Propagation of spatial information(1) Understand the spatial frequency of observed objects. Explain the relation between propagation speed, frequency, wavelength and wave number.
Class 3 Propagation of spatial information(2), Spacial resolution of acoustic imaging(1) Explain the relation between wavelength and observable spatial frequency.
Class 4 Spacial resolution of acoustic imaging(2) Explain parameters to determine the resolution.
Class 5 Far acoustic field Understand the relation between far acoustic field and wave source.
Class 6 Array signal processing(1) Explain directivity of the array of wave source.
Class 7 Array signal processing(2), Ultrasonic signal processing Design the array arrangement to observe objects.
Class 8 Summarization of the course. Students should be able to state the principle of acoustic imaging.

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.


Not specified.

Reference books, course materials, etc.

1) Hachiya et al..; Acousic Imaging. Tokyo: Corona Publishing. ISBN:978-4-339-01115-9. (in Japanese)
2) Course materials are provided during class.

Assessment criteria and methods

Assessment is based on the quality of the written reports.

Related courses

  • SCE.I203 : Digital Signal Processing

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


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