**丁建均的網頁**

最近更新日期：09/16/07

**
實驗室：**

**研究領域：**

Digital Signal Processing

including Fractional Fourier Transform

Digital Filter Design

Time-Frequency Analysis

Wavelet transform

Nonlinear and Time Variant System Analysis

Digital Image Processing

Integer Transform and Fast Algorithm

Number Theory

Bioinformatics

Quaternion

**授課：**

**聯絡方式：**

電話: (02)-33669652

辦公室：明達館 723室

電子郵件: djj@cc.ee.ntu.edu.tw , djj1@ms63.hinet.net

**
個人網站：**
http://djj.myweb.hinet.net

**著作：**

**(A)
Journal Papers **

[1] S. C. Pei
and J. J. Ding, “Closed form discrete fractional and affine Fourier
transforms,” *IEEE Trans. Signal
Processing*, vol. 48, no. 5, pp. 1338-1353, May 2000.

[2] S. C. Pei
and J. J. Ding, “The integer transforms analogous to discrete trigonometric
transforms,” *IEEE Trans. Signal
Processing*, vol. 48, no. 12, pp. 3345-3364, Dec. 2000.

[3] S. C. Pei
and J. J. Ding, “Simplified fractional Fourier transforms,” *J. Opt. Soc. Am. A*, vol. 17, no. 12, pp.
2355-2367, Dec. 2000.

[4] S. C. Pei
and J. J. Ding, “Two-dimensional affine generalized fractional Fourier
transform,” *IEEE Trans. Signal Processing*,
vol. 49, no. 4, pp. 878-897, Apr. 2001.

[5] S. C. Pei
and J. J. Ding, “Relations between the fractional operations and the Wigner
distribution, ambiguity function,” *IEEE
Trans. Signal Processing*, vol. 49, no. 8, pp. 1638-1655, Aug. 2001.

[6] S. C.
Pei, J. J. Ding, and J. H. Chang, “Efficient implementation of quaternion Fourier transform, convolution,
and correlation by 2-D complex FFT,” *IEEE
Trans. Signal Processing*, vol. 49, no. 11, pp. 2783-2797, Nov. 2001.

[7] S. C. Pei
and J. J. Ding, “Fractional, canonical, and simplified fractional cosine, sine
and Hartley transforms,” *IEEE Trans.
Signal Processing*, vol. 50, no. 7, pp. 1661-1680, Jul. 2002.

[8] S. C. Pei
and J. J. Ding, “Eigenfunctions of linear canonical transform,” *IEEE Trans. Signal Processing*, vol. 50,
no. 1, pp. 11-26, Jan. 2002.

[9] 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, March 2003.

[10] S. C.
Pei, J. H. Chang, and J. J. Ding, “Commutative reduced biquaternions and their
Fourier transform for signal and image processing,” *IEEE Trans. Signal Processing*, vol. 52, no. 7, pp. 2012-2031, July
2004.

[11] S. C.
Pei and J. J. Ding, “Generalized eigenvectors and fractionalization of offset DFTs
and DCTs,” *IEEE
Trans. Signal Processing*, vol. 52, no. 7, pp. 2032-2046, July 2004.

[12] 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, March 2005.

[13] S. C.
Pei, W. L. Hsue, and J. J. Ding, “Discrete
fractional Fourier transform based on new nearly tridiagonal commuting
matrices,” *IEEE Trans. Signal
Processing*, vol. 54, no. 10, pp. 3815-3828, Oct. 2006.

[14] S. C.
Pei and J. J. Ding, “Relations between Gabor transforms and fractional Fourier
transforms and their applications for signal processing,” accepted by *IEEE Trans. Signal Processing*.

[15] S. C.
Pei and J. J. Ding, “Reversible integer color transform,” *IEEE Trans. Image Processing*, vol. 16, no. 6, pp. 1686-1690, June
2007.

[16] S. C.
Pei and J. J. Ding, “Eigenfunctions of
Fourier and fractional Fourier transforms with complex offsets and parameters,”
*IEEE Trans. Circuits Syst.* *I*, vol. 54, no. 7, pp. 1599-1611, July
2007.

**(B) Conference Papers**

[1] S. C.
Pei, C. C. Tseng, M. H. Yeh, and J, J, Ding, "A new definition of
continuous fractional Hartley transform'', 1998 IEEE Int'l Conference on
Acoust. Speech, Signal Processing.

[2] J. J.
Ding and S. C. Pei, “2-D affine generalized fractional Fourier transform,” *ICASSP’99*, vol. 6, pp. 3181-3184, 1999.

[3] J. J.
Ding and S. C. Pei, “Integer Fourier transform,” 一九九九民生電子研討會: 數位視訊及多媒體通訊, Oct. 1999.

[4] S. C. Pei
and J. J. Ding, “Integer discrete Fourier transform and its extension to
integer trigonometric transforms,” *ICASSP’00*, vol. 5, pp. 513-516, 2000.

[5] S. C. Pei
and J. J. Ding, “Eigenfunctions of the canonical transform and the self-imaging
problems in optical system,” *ICASSP’00*,
vol. 1, pp. 73-76, 2000.

[6] S. C. Pei,
J. J. Ding, and J. H. Chang, “Color pattern recognition by quaternion
correlation,” *ICIP** 2001*, vol.
1, pp. 894-897, 2001.

[7] S. C. Pei
and J. J. Ding, “Fractional, canonical, and simplified fractional cosine
transforms,” *ICASSP’01*, vol. 6, pp. 3545-3548,
2001.

[8] S. C. Pei
and J. J. Ding, “Saving the bandwidth in the fractional domain by generalized
Hilbert transform pair relation,” *ISCAS
2003*, vol. 4, pp. 89-92, May 2003.

[9]
S. C. Pei and J. J. Ding, “The generalized radial Hilbert transform and its
applications to 2-D edge detection (any direction or specified directions),” *ICASSP 2003*, vol. 3, pp. 357-360, Apr. 2003.

[10]
S. C. Pei, C. L. Wu, and J. J. Ding, “Simplified structures for two-dimensional
adaptive notch filters,” *ISCAS 2003*,
vol. 4, pp. 416-419, May 2003.

[11]
S. C. Pei, J. H. Chang, and J. J. Ding, “Quaternion matrix singular value
decomposition and its applications for color image processing,” *International Conference on Image Processing
2003*, vol. 1, pp. 805-808, Sep. 2003.

[12] 貝蘇章, 丁建均, “相位金匙及影像的編碼、轉換、加密解密,” *國防工業訓儲制度九十二年度研發成果發表展*, 2003.

[13] S. C.
Pei, J. H. Chang, and J. J. Ding, “2D Quaternion Fourier Spectral Analysis and
Its Applications”, *ISCAS 2004*, May 2004,
vol. 3, pp. 241-244.

[14] 貝蘇章, 丁建均, “偏移傅式、分數傅式、線性完整轉換的固有函數”, *國防工業訓儲制度九十二年度研發成果發表展*, 2004.

[15] J. J.
Ding and S. C. Pei, “Reducing sampling error by prolate spheroidal wave
functions and fractional Fourier transform”, *Proc. IEEE Int. Conf. Acoust., Speech, Signal Process.*, vol. 4, pp.
217-220, 2005.

[16] S. C.
Pei, W. L. Hsue, and J. J. Ding, “Discrete
fractional Fourier transform based on new nearly tridiagonal commuting matrices”,
*Proc. IEEE Int. Conf. Acoust., Speech,
Signal Process.*, vol. 5, pp. 385-388, 2005.

[17] S. C.
Pei and J. J. Ding, “Reversible Integer Color
Transform with Bit-Constraint”, *International Conference on Image Processing*, vol. 3, pp. 964-967, 2005.

[18] S. C.
Pei and J. J. Ding, “New Corner Detection Algorithm by Tangent and Vertical
Axes and Case Table”, *International Conference on Image Processing*, vol. 1, pp. 365-368, 2005.

[19] J. J.
Ding and S. C. Pei, “Fractional Fourier transforms and Wigner distribution
functions for stationary and non-stationary random process”, vol. 3, pp. 21-24,
*ICASSP*, May 2006.

[20] S. C.
Pei and J. J. Ding, “Improved reversible integer transform”, pp. 1091-1094, *ISCAS*, May 2006.

[21] S. C.
Pei and J. J. Ding, “Relations between Gabor transforms and fractional Fourier
transforms and their applications for signal processing”, accepted by *EUSIPCO 2006*.

[22] Y. C. Zeng, S. C. Pei and J. J. Ding, “DCT-based image protection
using dual-domain bi-watermarking algorithm”, *CIP*, pp. 2581-2584, Oct. 2006.

[23] Y. C. Zeng, S. C. Pei and J. J. Ding, “Color images enhancement using
weighted histogram separation, *ICIP*,
pp. 2889-2892, Oct. 2006.

[24] S. C.
Pei and J. J. Ding, “Scaled lifting scheme and generalized reversible integer
transform,” *ISCAS*, pp. 3203-3206, May* *2007.

[25] S. C.
Pei and J. J. Ding, “Improved Harris’ algorithm for corner and edge
detections,” accepted by *ICIP 2007*.

[26] S. C.
Pei and J. J. Ding, “Discrete-to-discrete
prolate spheroidal wave functions and finite duration discrete fractional Fourier
transform,” accepted by *EUSIPCO
2007*.

[27] S. C.
Pei and J. J. Ding, “Quaternions and biquaternions for symmetric Markov-chain
system analysis,” accepted by *EUSIPCO
2007*.

[28]
J. J. Ding, S. C. Pei, G. C. Guo, J. D. Huang, Y. C.
Lin, Y. S. Zhang, and N. C. Shen, “Images sharing the same amplitude spectrum
but different phase key,” *CVGIP*,
2007.

[29] J. J.
Ding, S. C. Pei, J. D. Huang, G. C. Guo, Y. C. Lin,
N. C. Shen, and Y. S. Zhang, “Short response Hilbert
transform for edge detection,” *CVGIP*,
2007.

**(C) Books**

[1] A. V.
Oppenheim and R. W. Schafer, *Discrete-Time Signal Processing* (離散時間訊號處理), 2^{nd} Ed., Prentice Hall, New
Jersey, 1999, 曾建誠，陳常侃，王鵬華，丁建均翻譯，全華印行，台北市, 2000.

**(D) Theses **

[1] J. J.
Ding, *Derivation and Properties of Orthogonal
Transform*, Master Thesis,

[2] J. J.
Ding, *Research of Fractional Fourier Transform
and Linear Canonical Transform*, Doctoral Dissertation,