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- Soo-Chang Pei, Jian-Jiun Ding
- IEEE Trans. Signal Processing
- 2000

The discrete fractional Fourier transform (DFRFT) is the generalization of discrete Fourier transform. Many types of DFRFT have been derived and are useful for signal processing applications. In thisâ€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding
- IEEE Trans. Signal Processing
- 2001

The fractional Fourier transform (FRFT) is a useful tool for signal processing. It is the generalization of the Fourier transform. Many fractional operations, such as fractional convolution,â€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding
- IEEE Transactions on Signal Processing
- 2006

Many useful relations between the Gabor transform (GT) and the fractional Fourier transform (FRFT) have been derived. First, we find that, like the Wigner distribution function (WDF), the FRFT isâ€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding, Ja-Han Chang
- IEEE Trans. Signal Processing
- 2001

The recently developed concepts of quaternion Fourier transform (QFT), quaternion convolution (QCV), and quaternion correlation, which are based on quaternion algebra, have been found to be usefulâ€¦ (More)

- Shuen-De Wu, Po-Hung Wu, Chiu-Wen Wu, Jian-Jiun Ding, Chun-Chieh Wang
- Entropy
- 2012

Bearing fault diagnosis has attracted significant attention over the past few decades. It consists of two major parts: vibration signal feature extraction and condition classification for theâ€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding
- IEEE Transactions on Image Processing
- 2007

In this correspondence, we introduce a systematic algorithm that can convert any 3 times 3 color transform into a reversible integer-to-integer transform. We also discuss the ways to improve accuracyâ€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding
- Journal of the Optical Society of America. Aâ€¦
- 2005

Prolate spheroidal wave functions (PSWFs) are known to be useful for analyzing the properties of the finite-extension Fourier transform (fi-FT). We extend the theory of PSWFs for the finite-extensionâ€¦ (More)

- Wei-Lun Chao, Jun-Zuo Liu, Jian-Jiun Ding
- Pattern Recognition
- 2013

This paper provides a new age estimation approach, which distinguishes itself with the following three contributions. First, we combine distance metric learning and dimensionality reduction to betterâ€¦ (More)

- Soo-Chang Pei, Ja-Han Chang, Jian-Jiun Ding
- IEEE Transactions on Signal Processing
- 2004

Digital signal and image processing using reduced biquaternions (RBs) are introduced in this paper. RBs are an extension of the complex numbers, following the doubling procedure. Two usefulâ€¦ (More)

- Soo-Chang Pei, Jian-Jiun Ding
- Journal of the Optical Society of America. Aâ€¦
- 2003

The offset Fourier transform (offset FT), offset fractional Fourier transform (offset FRFT), and offset linear canonical transform (offset LCT) are the space-shifted and frequency-modulated versionsâ€¦ (More)