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,    TEL 33669652  

實驗室網頁:http://disp.ee.ntu.edu.tw/       

Office hour 每一天下午都可以來找我 ,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:蔡昌廷,黃昱佳,游承軒,黃繼綸

 

一、上課講義下載專區                

上課資料(1) ...........PDF.........LaMiDo.........demo1........demo2

上課資料(2) ...........PDF........上課筆跡檔 1 (pages 1~110)

上課資料(3) ...........PDF........Homework 1 (10月21日交).......PDF

上課資料(4) ...........PDF........上課筆跡檔 2 (pages 111~168)

上課資料(5) ...........PDF........Homework 2 (11月11日交).......PDF

上課資料(6) ...........PDF.........Chord.wav

上課資料(7) ...........PDF........上課筆跡檔 3 (pages 169~227)

上課資料(8) ...........PDF........上課筆跡檔 4 (pages 228-299)

上課資料(9) ...........PDF........Homework 3 (12月2日交).......PDF 

上課資料(10) ...........PDF........上課筆跡檔 5 (pages 300-360)

上課資料(11) ...........PDF........上課筆跡檔 6 (pages 361-444)   

上課資料(12) ...........PDF........Homework 4 (12月23日交).......PDF

上課資料(13) ...........PDF

上課資料(14) ...........PDF........上課筆跡檔 7 (pages 445-529)

上課資料(15) ...........PDF........Homework 5 (1月20日交)(new).......PDF(new)  

口頭報告投影片:

EEG-Based Assessment of Stereoscopic 3D Visual Fatigue Caused by Vergence-Accommodation Conflict(第一場)

Toward Degradation Roubst Voice Conversion(第二場)

Vocoder(第三場)

Bargamann Transform(第四場)

Stockwell Transform (S-Transform)(第五場)

 

公告:關於期末報告

書面報告交 Word 或 PDF 檔皆可, 藉由 NTUCool 繳交

Tutorial 要交 Word 檔 (若用 Latex 要交原始碼), 藉由 NTUCool 繳交

口頭報告要交報告的投影片檔(1/13以前交),將投影片(或雲端連結)寄 Email 給老師

編輯 Wikipedia 要將編輯的條目的連結寄 Email 給老師

 

 

二、Tutorials 專區

(Part 1: Time Frequency Analysis)

S Transform   

Recent Development of the S Transform (2014)     

Recent Development of the S Transform (2016)                                                                             

Gabor Feature and its Applications                                  

Cohen's Class Distribution           

Polynomial Wigner-Ville Distributions      

Multiscale Entropy                          

Generalized Spectrogram   

Prolate Spheroidal Wave Functions      

A Novel Time-Frequency Analysis Method    

Fast Algorithm for Time Frequency Analysis    

Time-Frequency Reassignment 

Adaptive Short-Time Fourier Transform  

Window Size Selection for STFT 

Cochleagram 

Fresnelet Transform 

 

(Part 2: Vocal Signal Analysis by Time Frequency Analysis)

Time-Frequency Analysis for Music Signal Analysis              

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            

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   

 

(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 

 

(Part 4: Wavelet Transforms)

Morlet Wavelet                                              

Haar Transform and Its Applications        

Directional Wavelet Transform_Curvelet                                

Directional Wavelet Transform_Shearlet

Directional Wavelet Transform_Contourlet

Complex Wavelet Transform                                                  

Bionic Wavelet Transform               

Shannon Wavelet Transform (1)    

Shannon Wavelet Transform (2) 

Stationary Wavelet Transform    

Noiselet     

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 Processing)

Wavelet for Edge Detection                                                    

Wavelet for Filter Design           

Discrete Wavelet Transform for JPEG2000                            

Tier 1 and Tier 2 for JPEG2000                

JPEG2000 以外的小波轉換影像壓縮技術                                                                   

Wavelet for Image Fusion

Wavelet for Pattern Recognition           

Wavelet for Fingerprint Matching           

Wavelet for Image Denoising (1)                                             

Wavelet for Image Denoising (2)      

Wavelet for Video Compression       

Haar Transforms for Feature Extraction         

Super-resolution Using Wavelet Transforms

Texture Analysis Using Wavelet Transforms

Haar-Like Features for Object Identification

Shearlet for Facial Expression Recognition

 

(Part 6: Other Applications of the Wavelet Transform)

小波轉換於心電圖分析及腦機介面上的應用                   

小波轉換於腦電訊號上的應用         

小波轉換、EMD等方法於生理訊號前處理之效能分析      

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    

Wavelet for Acoustics                             

Fetal ECG Extraction and Fiducial Points Detection by Haar Wavelet Transforms     

Independent Component Analysis Using Wavelet Transforms

Wavelet Transforms for Photoplethysmographic (PPG) Signal Analysis                                                                                         

 

(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     

B Spline  

Hilbert Huang Transform for EMG Signal Processing   

Prediction Techniques Using Hilbert-Huang Transforms   

 

(Part 8: Fractional Fourier Transform)

Fractional Fourier Transform                                                    

Linear Canonical 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   

 

(Part 9: Neural Network Using Time-Frequency Analysis or Wavelet Transforms)

Artificial Neural Network Analysis in the Time-Frequency Plane 

Wavelet Neural Network        

Wavelet Integrated Neural Networks       

Contourlet Convolutional Neural Networks      

Wavelet Pooling in Convolutional Neural Networks  

 

(Part 10: Compressive Sensing)

Compressive Sensing  

Matching Pursuit  

Matching Pursuit for Compressed Sensing        

Basis Pursuit for Compressed Sensing     

Compressive Sensing for Radar Imaging  

Compressive Sensing for Communication  

Sparse Coding Using Compressive Sensing

 

 

三、評分方式

平時分數: 15 scores 

基本分12分,各位同學皆可拿到(非缺席狀況嚴重)

外再根據上課回答問題加分 

 

Homework: 60 scores

(5 times, 3 週一次)

(請自己寫,和同學內容相同,將扣 60% 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

方式有四種

(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,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 3分) 

(3) 口頭報告 (限四個人,每個人 30~40分鐘,題目可選擇和課程有關的任何一個主題,選擇這個項目的同學,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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