時頻分析與小波轉換
Time-Frequency Analysis and Wavelet Transform
授課者：丁建均
上課地點：明達館 231 室 (上課影片也將放在 NTU Cool 上 http://cool.ntu.edu.tw)
上課時間：星期四上午 9 : 10 ~ 12 : 10
上課資料：講義 (請大家在每週上課前，來這個網頁把上課講義列印好)
Office： 明達館723室, TEL： 33669652
實驗室網頁：http://disp.ee.ntu.edu.tw/
Office hour： 週一至週五下午都可以來找我 ，老師的 E-mail: jjding@ntu.edu.tw
作業繳交方式：使用 NTU Cool 交電子檔 http://cool.ntu.edu.tw
助教：施淳仁，陳冠宇，何景盛，謝杰勳，張融，陳薈評
一、上課講義下載專區
上課資料(1) ...........PDF..............demo1...........demo2
上課資料(2) ...........PDF..............上課筆記檔(1)(pages 1-82)
上課資料(3) ............PDF ............Homework 1 (due: 9/25)...........PDF
上課資料(4) ............PDF............上課筆記檔(2)(pages 83-139)
上課資料(5) ............PDF.............Homework 2 (due: 10/16)...........PDF
上課資料(6) ............PDF.............上課筆記檔(3)(pages 140-208)
上課資料(8) ............PDF...............上課筆記檔(4)(pages 209-273)
上課資料(9) ............PDF...............Homework 3 (due: 11/13)...........PDF...........測試音檔
上課資料(11) ...........PDF..............上課筆記檔(5)(pages 274-338)
上課資料(12) ...........PDF..............上課筆記檔(6)(pages 339-370)
上課資料(13) ...........PDF..............上課筆記檔(7)(pages 371-458)
上課資料(14)............PDF..............Homework 4 (due: 12/04)...........PDF..............上課筆記檔(8)(pages 459-545) (new)
上課資料(15)............PDF..............Homework 5 (due: 12/25) (new)...........PDF (new)
口頭報告專區
(第一場)時頻分析與小波轉換在心電圖上的應用.............報告投影片
(第二場)High and Low Frequency Region Separation Method for Adaptive Image Expansion.............報告投影片
(第三場)Time-frequency Analysis in Generative AI.............報告投影片
(第四場)基於小波差值壓縮的醫療影像壓縮方法.............報告投影片
(第五場)From Blurry to Sharp the Reassignment Method & Synchrosqueezing Transform.............報告投影片
(第六場)Gabor Wigner Transform.............報告投影片
(第七場)Fractional Fourier Transform for Filter Design.............報告投影片
(第八場)用時頻分析搭配肉眼檢測 Deepfake 語音.............報告投影片
(第九場)Automated Detection of Dolphin Whistles with Convolutional Networks and Transfer Learning.............報告投影片
(第十場)WaveSP-Net: Learnable Wavelet-Domain Sparse Prompt Tuning For Speech Deepfake Detection.............報告投影片
(第十一場)Entropy-Based Adaptive Gabor Time-Frequency Analysis.............報告投影片
公告：關於期末報告
(1)(2) 書面報告和 Tutorials 皆在12月25日之前，藉由 NTUCool 繳交
一般書面報告中英文皆可，可交 Word 檔或 PDF
檔，至少10頁，至少 8 個 equations 以上
Tutorials 至少17頁，要交可編輯的檔案(Word 檔或是 Latex 原始檔，不可直接交 PDF 檔)
(3) 若同學選擇口頭報告的方式，請在12月18日之前，將投影片以及報告影片的連結寄給老師
(4) 若同學期末報告要採取編輯 Wikipedia 的兩個條目
的方式
可以在12月11日之前先向老師登記
編輯 Wikipedia 的同學，要將編輯的 Wikipedia 網頁連結在12月25日之前寄給老師
(5) 無論選用哪種方式交期末報告，若有做實驗模擬，也請繳交程式碼(非強制)，會有額外的加分
二、Tutorials 專區
(Part 1: Time Frequency Analysis)
Gabor Feature and its Applications
Recent Development of the S Transform (2014)
Recent Development of the S Transform (2016)
Polynomial Wigner-Ville Distributions
Prolate Spheroidal Wave Functions
Recent Development of Prolate Spheroidal Wave Functions
A Novel Time-Frequency Analysis Method
Fast Algorithm for Time Frequency Analysis
Adaptive Short-Time Fourier Transform
Window Size Selection for STFT
Multiple-window Time-Frequency Analysis Methods
Higher Order Synchrosqueezing Transform
Variational Mode Decomposition
(Part 2: Vocal Signal Analysis by Time Frequency Analysis)
Time-Frequency Analysis for Music Signal Analysis
Time-Frequency Analysis for Musical Instrument Classification
Time-Frequency Analysis for Doppler Ultrasound Signals
Time Frequency Analysis for Acoustics (1)
Time Frequency Analysis for Acoustics (2)
Sound Recognition Using Time-Frequency Features
Time Frequency Analysis for Chinese Tone Identification
Time-frequency Analysis for Vocal Signal Compression
Time Frequency Analysis for Voiceprint Recognition
Musical Instrument Identification Using Harmonic Overtone Approach
Time-frequency Analysis for Underwater Acoustic
Time-frequency Analysis for Blind Signal Separation
Learning-Based Speech Analysis in the Time-Frequency Domain
Computation Perception Auditory Structure
Speaker Identification Using Time Frequency Analysis
Chromagram for Music Signal Analysis
(Part 3: Other Applications of Time Frequency Analysis)
Time-Frequency Analysis for Seismology (1)
Time-Frequency Analysis for Seismology (2)
Time-Frequency Analysis for for EMG signals
Time-Frequency Analysis for Biomedical Engineering
Time-Frequency Analysis for ECG signals
Time-Frequency Analysis for ECG signals (2017)
Time-Frequency Analysis for Filter Design
Time Frequency Analysis for Sampling
Time Frequency Analysis for Accelerometer Signals
Time Frequency Analysis for Radar Image Processing
Time-frequency Analysis for Signal Communication
Time-Frequency Analysis for Machine Fault Detection
用於腦電圖訊號之時頻轉換分析：以認知神經科學聽覺Oddball實驗為例
Time-Frequency Analysis for Tremor Analysis in Parkinson's Disease
Time-Frequency Analysis for Seismology
Learning Based Bearing Fault Diagnosis in the Time-Frequency Domain
Vibration Analysis Using Time-Frequency Analysis
Chirp Radar for Distance Measurement
Applications of Time-Frequency Analysis in Financial Market
Weiner Filter in the Time Frequency Plane
Frequency Modulated Continuous Wave (FMCW) Radar
(Part 4: Wavelet Transforms)
Haar Transform and Its Applications
Directional Wavelet Transform_Curvelet
Directional Wavelet Transform_Shearlet
Directional Wavelet Transform_Contourlet
Lifting Scheme for Wavelet Transforms
Recent Development of Wavelet Transforms
Multichannel Wavelet Transforms
Dual Tree Complex Wavelet Transforms
(Part 5: Applications of Wavelets for Image and Video Processing)
Discrete Wavelet Transform for JPEG2000
Tier 1 and Tier 2 for JPEG2000
Enhanced Compression Wavelet Image Format
Wavelet for Pattern Recognition
Wavelet for Fingerprint Matching
Wavelet for Image Denoising (1)
Wavelet for Image Denoising (2)
Wavelet Transform for Video Analysis
Haar Transforms for Feature Extraction
Super-resolution Using Wavelet Transforms
Texture Analysis Using Wavelet Transforms
Haar-Like Features for Object Identification
Deep Wavelet Network for Image Dehazing and Denoising Applications
Shearlet for Facial Expression Recognition
(Part 6: Other Applications of the Wavelet Transform)
Magnetic Resonance Imaging Analysis Using Wavelet Tramsforms
Damage Detection via Wavelet Transform
Wavelet Analysis of Financial Variables
Wavelet for Music Signal Analysis (1)
Wavelet for Music Signal Analysis (2)
Wavelet for Biomedical Signal Processing
Wavelet Analysis for Accelerometer Signals
Fetal ECG Extraction and Fiducial Points Detection by Haar Wavelet Transforms
Independent Component Analysis Using Wavelet Transforms
Wavelet Transforms for Photoplethysmographic (PPG) Signal Analysis
Prediction Models Using Wavelet Transforms
(Part 7: Hilbert Huang Transform)
Hilbert Huang Transform for Climate Analysis
Hilbert Huang Transform for Acoustics
Recent Development of the Hilbert-Huang Transform
Economic Data Analysis by Hilbert Huang Transforms
Hilbert-Huang Transform for Geology
Hilbert-Huang Transform for Spectral Doppler
Hilbert-Huang Transform for Image Processing
Hilbert-Huang Transform for Biomedical Signal Processing
Hilbert Huang Transform for Denoising
Hilbert-Huang Transform for Speech Application
Two-Dimensional Hilbert-Huang Transform
Hilbert Huang Transform for EMG Signal Processing
Prediction Techniques Using Hilbert-Huang Transforms
(Part 8: Fractional Fourier Transform)
Fractional Fourier Transform for Filter Design (1)
Fractional Fourier Transform for Filter Design (2)
Linear Canonical Transform for Optical System Analysis
Recent Development of the Fractional Fourier Transform
Recent Development of the Linear Canonical Transform
Fractional Fourier Transform for Random Process Signal Analysis
Prediction Techniques Using Hilbert-Huang Transforms
Linear Canonical Transform with Complex Parameters
Local Polynomial Fourier Transform
(Part 9: Neural Network Using Time-Frequency Analysis or Wavelet Transforms)
Convolutional Neural Network in the Time-Frequency Plane
Artificial Neural Network Analysis in the Time-Frequency Plane
Wavelet Integrated Neural Networks
Contourlet Convolutional Neural Networks
Wavelet Pooling in Convolutional Neural Networks
(Part 10: Compressive Sensing)
Matching Pursuit for Compressed Sensing
Basis Pursuit for Compressed Sensing
Compressive Sensing for Radar Imaging
Compressive Sensing for Communication
Recent Development of Compressive Sensing
Sparse Coding Using Compressive Sensing
三、評分方式專
平時分數: 15 scores
基本分11分，各位同學皆可拿到
另外再根據 額外問題的回答來加分
(5 times, 每 3 週一次)
(請自己寫，
若和同學作業極相近有抄襲之嫌，或是重度依賴AI且沒有自己消化，將扣
70% 的分數，
就算寫錯但好好寫也會給 40~95% 的分數，
遲交分數打
8 折，不交不給分。不知道如何寫，可用 E-mail 和我聯絡，或於上課時發問)
Term paper 25 scores
方式有 五種
(1) 書面報告 (10頁以上(不含封面)，中英文皆可，11或12的字體，題目可選擇和課程有關的任何一個主題，格式和一般寫期刊論文或碩博士論文相同，包括 abstract, conclusion, 及 references，至少8個 equations，並且要分 sections，必要時有subsections。 )
(2) Tutorial (和書面報告格式相同，但18頁以上，題目由老師指定，以清楚的介紹一個主題的基本概念和應用為要求，選擇這個項目的同學，學期成績加 4分)
(3) 口頭報告 (限10個人，每個人 30~40分鐘， 將報告的影片和投影片寄給老師，讓修課的同學們觀看，學期成績加 2分)
(4) 編輯 Wikipedia (中文或英文網頁皆可，至少 2 個條目，但不可同一條目翻成中文和英文。限和課程相關者，自由發揮，越有條理、有系統的越好)
以上若有做實驗模擬，請附上程式碼，會有額外的加分 (鼓勵不強制)
四、推薦參考書籍：
· S. Qian and D. Chen, Joint Time-Frequency Analysis: Methods and Applications, Prentice-Hall, 1996.
· S. Mallat, A Wavelet Tour of Signal Processing: The Sparse Way, Academic Press, 3rd edition, 2009.
· L. Cohen, Time-Frequency Analysis, Prentice-Hall, New York, 1995.
· K. Grochenig, Foundations of Time-Frequency Analysis, Birkhauser, Boston, 2001.
· L. Debnath, Wavelet Transforms and Time-Frequency Signal Analysis, Birkhäuser, Boston, 2001.
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