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課程名稱 |
訊號處理與頻譜分析
Signal Processing and Spectral Analysis |
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開課學期 |
110-1 |
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授課對象 |
工學院 結構工程組 |
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授課教師 |
羅俊雄 |
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課號 |
CIE5027 |
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課程識別碼 |
521EU3160 |
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班次 |
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學分 |
3.0 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二6,7,8(13:20~16:20) |
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上課地點 |
土研405 |
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備註 |
本課程以英語授課。
總人數上限：25人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1101CIE5027_Loh_2021 |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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課程概述 |
一、課程名稱：訊號處理與頻譜分析
二、學 分 數：3
三、課程編號：521 U3160
四、負責教師：羅俊雄
五、課程目標：
Signal processing is widely used in engineering and physical sciences. This course discusses techniques to analyze signals (or data), particularly related to structural dynamic response data focusing on time/frequency domain data analyses (Fourier transform, digital filtering, and feature extraction). MATLAB code for signal processing will be introduced and applied to each lecture topic. |
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課程目標 |
Course Contents
1: Introduction to Random Signal
2: Sampling theory & discrete time Fourier transform, FFT
3: Correlation, Convolution & Power spectral density of signals
4: System Input & Output relationship
5: ARX model & system identification
6: Frequency domain decomposition (FDD)
7: Singular Spectrum Analysis (SSA)
8: Lowpass filter & integration (from acceleration to displacement)
9: Recursive ARX model (System Identification)
10: Time-Frequency analysis of signal-Part 1 (STFT & CWT)
11: Covariance-driven Stochastic Subspace Identification (SSI-COV-part 1)
12: Signal-based Damage assessment of structure
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課程要求 |
1. Homework (70% - every 2 weeks).
2. Final mini project (30%)
3. Student may need to use MABLAB code for signal analysis
(signal analysis MATLAB tool for each lecture topic will be provided) |
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預期每週課後學習時數 |
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Office Hours |
備註： one hour before and after the lecture date |
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指定閱讀 |
Lecture notes (lecture note will be distriburted before the lecture date),
Some specific assigned papers.
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參考書目 |
A: Frequency domain analysis of signal
1. E. Oran Brigham, The Fast Fourier Transform and Its Application, Prentice-Hall Int. Inc. 1988
2. J.S. Bendat & A.G. Piersol, Random Data: Analysis & Measurement, Procedures, Wiley-Interscience, 1986.
B: Time-domain analysis of signal
1. R. K. Otnes & L. Enochson, Applied Time Series Analysis: Vol 1:Basic Technique, John Wiley & Sons, Inc. 1978.
2. T. Soderstrom & P. Stoica, System Identification, Prentice-Hall, 1989.
3. Nina Golyandina, et al., Analysis of Time Series Structure: SSA and related techniques, |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第2週 |
9/28 |
Introduction to Random Signal |
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第3週 |
10/05 |
FFT, Sampling theory, Convolution theory
"Homework 1 is assigned"
Lecture recording at: https://drive.google.com/file/d/1uCnkn4q71rm0oHpfEXaSwWjx6SSw_XP-/view?usp=sharing
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第4週 |
10/12 |
https://u.cyberlink.com/meeting/325846557
Lecture on 10/12 is still through web meeting.
After 10/13 lectures will be in person.
Homework-2 was assigned |
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第5週 |
10/19 |
https://u.cyberlink.com/meeting/827487487
Homework-3 was assigned (due date: 2021-11-02) |
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第6週 |
10/26 |
Review on Power Spectral Density (PSD) function
https://u.cyberlink.com/meeting/256643355 |
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第7週 |
11/02 |
Frequency Domin Decomposition (FDD)
Homework-4 was assigned (due on 11/15)
https://u.cyberlink.com/meeting/756864219 |
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第8週 |
11/09 |
Low-pass filter & integration scheme
Homework 5 was assigned (due on Nov. 19)
https://u.cyberlink.com/meeting/647580709 |
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第9週 |
11/16 |
Singular Spectral Analysis (SSA) of signal
https://u.cyberlink.com/meeting/250912129
Homework-6 assigned (at the end of the lecture note)
Lecture recording:
https://drive.google.com/file/d/1_2-Sa098pAFJLpPB1WSLeKPRcmqr1OIA/view?usp=sharing
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第10週 |
11/23 |
Hilber Transform & Instantneous Frequency
& Homework-7
& Reerence code
https://u.cyberlink.com/meeting/783721507
Lecture recording:
https://drive.google.com/file/d/12aarnW7mZnou09QwADKuwanGNyAN-R__/view?usp=sharing |
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第11週 |
11/30 |
Wavelet Analysis (MCMW-VC)
& Homework-8
https://u.cyberlink.com/meeting/369851397 |
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第12週 |
12/07 |
Lecture on Wavelet Packet Transform
(HW-9 : Assinged)
https://u.cyberlink.com/meeting/224342657 |
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第13週 |
12/14 |
Lecture on "Digital Filter & ARX model" &
"ARX-model"
Final project is assigned (due date is Jan 5, 2022) |
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第14週 |
12/21 |
Lecture on Recursive-ARX model
Lecture Recording: https://drive.google.com/file/d/1b1DdKA_caJJdUDuD0YZvOLHWn5ZzSU6b/view?usp=sharing |
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第15週 |
12/28 |
Lecture on "Damage Assessment of Structure using data from Ambient Vibratin Msurement"
All assigned homework should be returned before 12/31.
Lecture Recording:
https://drive.google.com/file/d/1bFK9unjjfQzI8jrhl1-SrWNyglsxuK-3/view?usp=sharing |
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第16週 |
1/04 |
Lecture on "Stochastic Subspace Identification:Covariance Driven"
Lecture Recording:
https://drive.google.com/drive/folders/1aIYCZeXMapl0QgXVwZzRB0lo1Axom40T?usp=sharing |
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