Hiroshima University Syllabus

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Academic Year School/Graduate School Lecture Code 2022Year School of Informatics and Data Science KA121001 Specialized Education フーリエ解析 フーリエカイセキ Fourier Analysis AIZAWA HIROAKI アイザワ　ヒロアキ Higashi-Hiroshima 2nd-Year,  First Semester,  2Term (2T) Mon9-10,Thur7-8：ENG 220 Lecture Lecture 2.0 B : Japanese／English 2 : Undergraduate Low-Intermediate 25 : Science and Technology 01 : Mathematics/Statistics In this course, students are expected to learn Fourier analysis as a basis for processing signals such as images and sounds, and to develop the ability to create programs to realize them. Informatics and Data Science Program（Knowledge and Understanding）・I1. Knowledge and ability required for collecting and processing high-dimensional data using information processing technologies based on scientific logic, while understanding the theoretical system that forms the basis of informatics. To understand Fourier analysis as the basis of signal processing, and to acquire the knowledge and ability to create programs to analyze signals for voice, images, etc. Lesson 1.  Introduction to Fourier AnalysisLesson 2. Least Squares MethodLesson 3. Orthogonal function expansion Lesson 4. Inner product spacesLesson 5. Fourier series expansion Lesson 6. Complex Fourier Series Expansion Lesson 7. Fourier Transform Lesson 8. Convolution TheoremLesson 9. Sampling TheoremLesson 10. Discrete Fourier TransformLesson 11. Fourier Analysis and Principal Axis Transform Lesson 12. Wavelet AnalysisLesson 13. Laplace TransformLesson 14. Fourier Analysis and Differential EquationLesson 15. Summary and Discussion Reference Book: A. Boggess, F.J. Narcowich, A First Course in Wavelets with Fourier Analysis Slides It will be easier to understand if you study the textbook beforehand. In addition, it will be easier to understand if you actually run the program. Evaluation will be based on reports. Please fill in the class improvement questionnaire which is carried out on all classes.Instructors will reflect on your feedback and utilize the information for improving their teaching.
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