丁建均 Jian-Jiun Ding

國立台灣大學電機工程學系 助理教授
Assistant Professor, Department of Electrical Engineering, National Taiwan University

主要研究領域:

數位信號處理、數位影像處理

Major Research Areas:

Digital Signal Processing, Digital Image Processing

研究領域摘要:

1. 數位影像處理

   包括物件識別，角與邊緣偵測，影像壓縮，浮水印

　

2. 影像壓縮   

　 

3. 時頻分析

   包括韋格納分佈方程式，加伯轉換，短時傅立葉轉換 

  

4. 分數傅立葉轉換 及 線性完整轉換

   簡而言之，分數傅立葉轉換是做零點幾次的傅立葉轉換

   分數傅立葉轉換是傅立葉轉換的一般化

   線性完整轉換是分數傅立葉轉換的進一步一般化

       

5. 小波轉換

       

6. 音樂及聲音信號處理

  

7. 快速演算法

       

8. 整數轉換

  

9. 生物資訊學

   用信號處理的方法處理基因比對的問題

  

10. 信號分析
   包括數論，分碼多重存取，特徵函數與扁平波函數的問題

  

11. 其他
   包括四元素，非線性及時變系統分析，數位濾波器設計

Research Summary:

1. Digital Image Processing 

     including pattern recognition,

     corner and edge detection,

     watermark and encryption

2. Image Compression   

　

3. Time-Frequency Analysis

      including Wigner distribution functions, Gabor transform, short-time Fourier transform

　

4. Fractional Fourier Transform and Linear Canonical Transform

      In a word, the fractional Fourier transform is doing the Fourier transform x times where x can be non-integer.

     Fractional Fourier transform is a generalization of the Fourier transform.

     Linear canonical transform is a further generalization of the fractional Fourier transform.

    

5. Wavelet Transform

　

6. Music and Acoustics

　

7. Fast Algorithm

　

8. Integer Transform

　

9. Bioinformatics

    using the method of signal processing for DNA sequence comparison

10. Signal Analysis
     including eigenfunctions and prolate spheroidal wave function, CDMA, number theory

11. Others

      including quaternion, non-linear and time-variant system analysis, digital filter design　    

Photo of Jian-Jiun Ding

代表性著作 Selected Publication

  1. S. C. Pei and J. J. Ding, “Generalized commuting matrices and their eigenvectors for DFTs, offset DFTs, and other periodic operations,” IEEE Trans. Signal Processing, vol. 56, no.8, pp. 3891-3904, Aug. 2008
  2. S. C. Pei and J. J. Ding, “Relations between Gabor transforms and fractional Fourier transforms and their applications for signal processing,” IEEE Trans. Signal Processing, vol. 55, no. 10, pp. 4839-4850, Oct. 2007
  3. S. C. Pei and J. J. Ding, “Generalized prolate spheroidal wave functions for optical finite fractional Fourier and linear canonical transforms,” J. Opt. Soc. Am. A, vol. 22, no. 3, pp. 460-474, Mar. 2005
  4. S. C. Pei and J. J. Ding, “Eigenfunctions of the offset Fourier, fractional Fourier, and linear canonical transforms,” J. Opt. Soc. Am. A, vol. 20, no. 3, pp. 522-532, Mar. 2003