- 担当教員
- 盛川 仁
- 使用教室
- 月5-6
- 単位数
- 講義：2 演習：0 実験：0
- 講義コード
- 92008
- シラバス更新日
- 2006年12月20日
- 講義資料更新日
- 2006年12月20日
- アクセス指標
-
- 学期
- 後期
講義概要
This course discusses the basic theory of probability and stochastic process with some applications to the earthquake engineering.
The grading policy is based on a project and its presentation.
Topics include introduction to the probability and stochastic process, basic idea of time-frequency analysis, and application to the earthquake engineering.
講義の目的
To understand the basics of probability theory, stationary and non-stationary stochastic processes, and time-frequency analysis. Furtermore, as an application of the theory of stationary stochastic process, the students may understand how to estimate the phase velocity of microseisms obtained from an array observation.
講義計画
1. Basics of probability theory
2. Stationary stochastic process
3. Spatial auto-correlation (SPAC) method to estimate the phase velocity of microtremors
4. Introduction to Time-frequency analysis
4.1 Spectrogram
4.2 Wigner distribution
4.3 Hilbert-Huang transform and Hilbert spectrum
7. Project
8. Presentation
教科書・参考書等
Choen, ""Time-Frequency Analysis,"" Prentice Hall, 1995
関連科目・履修の条件等
basics of mathematics
成績評価
Project and its presentation
その他
[Office Hours]
After the class (15:00-17:00, Monday)
