時頻分析與土砂監測之應用
Time Frequency Analysis and its Ａpplication to Ｓediment Ｍonitoring
| 節 | 週二 |
|---|---|
5 13:20–14:10 | 時頻分析與土砂監測之應用 EB404 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
Course Description: 1. Fourier transform (FT) ‧ Forward and inverse FT ‧ Fourier transform properties ‧ Correlation and convolution ‧ Discrete Fourier transform (DFT) ‧ Comparison of Fast Fourier transform (FFT) and DFT ‧ Fortran programming on FFT 2. Filter design ‧ Ideal filter ‧ Butterworth filter ‧ Gaussian filter ‧ Fortran programming on Butterworth filter 3. Seismic noise classification ‧ Tidal and ocean wave ‧ Wind and other anthropogenic sources (traffic, explosion) ‧ Turbulent flow ‧ Bedload transport 4. Application of time frequency analysis (focus on geohazards) ‧ Location method for landslide ‧ Seismic model for turbulent flow ‧ Seismic impact model for bedload saltation Why Fortran? ‧ Easy to learn ‧ Many aspects common among computer programming languages ‧ Programming is effective to improve your understanding (it is impossible to write a code without proper understanding) Objective: This course provides a comprehensive introduction to Fourier transform properties and filter design, and builds a solid foundation of skills to progress on to the advanced analysis of time series data. Next, the course gives a brief introduction of time-frequency analysis such as S-transform and wavelet transform, and shows a comparison of wavelet transform and FT method in the time-frequency plane. Based on the aforementioned knowledge, this course further focuses on the concept of seismic monitoring of landslide and river sediment transport, and its current developments and implementations in Taiwan.
Engineering Mathematics, Computer Programming
Computer and whiteboard.
Homework 70%,Term paper 30%
- Fourier transform (FT)
- Time-frequency analysis
- Filter design
- Fortran programming
- A brief introduction of seismology
- Application of time frequency analysis
| 週次 | 主題 |
|---|---|
| 第 1 週 | Fortran programming language: data types, declaration, formatting and file handling |
| 第 2 週 | Fortran programming language: looping, arrays, subroutines and I/O files |
| 第 3 週 | Fourier transform |
| 第 4 週 | Fourier transform properties |
| 第 5 週 | Discrete Fourier transform |
| 第 6 週 | Fast Fourier transform and Programming on FFT |
| 第 7 週 | Filter design techniques |
| 第 8 週 | Time-frequency plane and S-transform |
| 第 9 週 | Wavelet transform-I |
| 第 10 週 | Wavelet transform-II |
| 第 11 週 | Midterm presentation |
| 第 12 週 | Introduction of seismometer and deployment of portable seismometer |
| 第 13 週 | A brief introduction of seismic wave |
| 第 14 週 | Time-frequency analysis: seismic noise classification (ocean wave, turbulent flow, bedload transport) |
| 第 15 週 | Programming on seismic method for landslide location determination (Filter and correlation scheme) |
| 第 16 週 | Power spectral density (PSD) analysis of turbulent- and bedload-induced seismic signals |
| 第 17 週 | Open discussion |
| 第 18 週 | Term paper |
1. The Fast Fourier Transform and Its Application. By E. Oran Brigham (1981). 2. Wavelet Transforms and Time-Frequency Signal Analysis. By L. Debnath (2001). Referred journal articles: 3. Chao, W. A., Y. M. Wu, L. Zhao, V. C. Tsai and C. H. Chen (2015) Seismologically determined bedload flux during the typhoon season, Sci. Rep., 5, 8261; doi: 10.1038/srep08261. 4. Chao, W. A., L. Zhao, S. C., Chen, Y. M. Wu, C. H. Chen and H. H. Huang (2016) Seismology-based early identification of dam-formation landquake events, Sci. Rep. 5, 19259; doi: 10.1038/srep19259. 5. Chao, W. A., Y. M. Wu, L. Zhao, H. Chen, Y. G. Chen, J. M. Chang and C. M. Lin (2017) A first near real-time seismology-based landquake monitoring system, Sci. Rep. 7:43510; doi: 10.1038/srep43510.
- 地點
- Engineering Building 2, R312
- 時間
- p.m. 3:30 ~ 4:30 Wed.
- 聯絡方式
- vvnchao@gmail.com 03-5712121#54908