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（光復） 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
無備註
Computer and whiteboard.
Homework 70%,Term paper 30%
Fourier transform (FT)
1. Fourier transform properties 2. Correlation and convolution 3. Discrete Fourier transform 4. Fast Fourier transform
- 講授：
- 9
- 示範：
- 2
- 實作：
- 2
Time-frequency analysis
1. Short-time window Fourier transform 2. S-transform 3. Wavelet transform
- 講授：
- 9
- 實作：
- 3
Filter design
1. Ideal filter 2. Butterworth filter 3. Gaussian filter
- 講授：
- 3
- 示範：
- 1
- 實作：
- 1
Fortran programming
1. Data types, declaration, formatting and file handling 2. Looping, arrays, subroutines and I/O files
- 講授：
- 6
A brief introduction of seismology
1. Introduction of seismometer 2. A brief introduction of seismic wave 3. Deployment of portable seismometer
- 講授：
- 4
- 示範：
- 1
- 實作：
- 1
Application of time frequency analysis
1. FFT application 2. Spectrogram 3. Seismic noise classification 4. Landslide location method 5. Seismic model for turbulent flow 6. Seismic physical im
- 講授：
- 7
- 示範：
- 3
- 實作：
- 2
| 週次 | 主題 |
|---|---|
| 第 1 週 | Fortran programming language: data types, declaration, formatting and file handling 2025-09-02(二) |
| 第 2 週 | Fortran programming language: looping, arrays, subroutines and I/O files 2025-09-09(二) |
| 第 3 週 | Fourier transform 2025-09-16(二) |
| 第 4 週 | Fourier transform properties 2025-09-23(二) |
| 第 5 週 | Discrete Fourier transform 2025-09-30(二) |
| 第 6 週 | Fast Fourier transform and Programming on FFT 2025-10-07(二) |
| 第 7 週 | Filter design techniques 2025-10-14(二) |
| 第 8 週 | Time-frequency plane and S-transform 2025-10-21(二) |
| 第 9 週 | Wavelet transform-I 2025-10-28(二) |
| 第 10 週 | Wavelet transform-II 2025-11-04(二) |
| 第 11 週 | Midterm presentation 2025-11-11(二) |
| 第 12 週 | Introduction of seismometer and deployment of portable seismometer 2025-11-18(二) |
| 第 13 週 | A brief introduction of seismic wave 2025-11-25(二) |
| 第 14 週 | Time-frequency analysis: seismic noise classification (ocean wave, turbulent flow, bedload transport) 2025-12-02(二) |
| 第 15 週 | Programming on seismic method for landslide location determination (Filter and correlation scheme) 2025-12-09(二) |
| 第 16 週 | Power spectral density (PSD) analysis of turbulent- and bedload-induced seismic signals 2025-12-16(二) |
| 第 17 週 | Open discussion 2025-12-23(二) |
| 第 18 週 | Term paper 2025-12-30(二) |
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