### 2016　Data analysis

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Academic unit or major
International Development Engineering
Instructor(s)
Course component(s)
Lecture /
Day/Period(Room No.)
Tue3-4(S514)  Fri3-4(S514)
Group
-
Course number
ZUQ.T301
Credits
2
2016
Offered quarter
1Q
Syllabus updated
2017/1/11
Lecture notes updated
2016/5/31
Language used
Japanese
Access Index ### Course description and aims

There are various methodologies and techniques for analyzing data collected via measurements and observations. Among them, this course focuses on the analysis of time series. Mathematical theory and technique are covered through the lectures, and practical data analyses are executed through computer programming.
Students will acquire the knowledge and skills on the discrete Fourier transform method for characterizing temporal variation in the data, and on various techniques to reduce or eliminate noise superimposed on the data.

### Student learning outcomes

By the end of this course, students will be able to:
1) Program a simple data analysis code in MATLAB.
2) Determine an appropriate interval for the sampling of continuously-changing physical quantities.
3) Derive correlation and frequency spectrum of time series data.
4) Extract the meaningful part of the data by removing the noise.

### Keywords

random process, discrete Fourier transform, sampling theorem, Wiener-Khintchin theorem, spectrogram, noise, moving average, filter, singular value decomposition, singular spectrum analysis

### Competencies that will be developed

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

### Class flow

Theory is taught in the class and exercises are occasionally given. Students may be asked to explain the assumptions made in the preparation.
Practices on MATLAB programming are conducted in the computer room of IDE Lounge.
Lecture and practice are provided in turns.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Orientation. Signals (1): sampling theorem, Fourier transform Find signals within daily life
Class 2 Signals (2): random process, autocorrelation, ergodicity, Wiener-Khinchin theorem
Class 3 Practice (1): MATLAB Matrix programming in MATLAB
Class 4 Frequency analysis (1): discrete Fourier transform
Class 5 Practice (2): discrete Fourier transform Sampling and discrete Fourier transform of sinusoidal wave
Class 6 Frequency analysis (2): uncertainty principle, window function, short time Fourier transform
Class 7 Practice (3): short time Fourier transform Spectrogram of chirp signal
Class 8 Noise elimination (1): white noise, moving average
Class 9 Practice (4): moving average Moving average of white noise
Class 10 Noise elimination (2): filter
Class 11 Practice (5): filter Noise elimination by filtering
Class 12 Signal separation (1): singular value decomposition theorem, singular value decomposition of data
Class 13 Signal separation (2): singular spectrum analysis
Class 14 Practice (6): singular spectrum analysis Signal separation and noise elimination by singular spectrum analysis
Class 15 Wrap up. Final report assignment. Processing of voice data

### Textbook(s)

Masao MASUGI, Signal Analysis, Morikita Pub., 2013 (in Japanese).

### Reference books, course materials, etc.

Materials for practices are distributed via OCW-i.

### Assessment criteria and methods

Knowledge and applied skill of signals, frequency analysis, noise elimination, signal separation and MATLAB programming will be assessed.
Reports for practice sssions 30%, final report 35%, and final exam 35%.

### Related courses

• TSE.A231 ： Engineering Measurement
• TSE.M203 ： Theory of Linear System

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

Students are assumed to have successfully completed Engineering Mathematics A/C, and Theory of Information Processing. Students are also recommended to take Engineering Measurement.
Only students in the Department of International Development Engineering can take this course. 