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Pei, S.C., Yeh, M.H. and Luo, T.L. (1999) Fractional Fourier Series Expansion for Finite Signals and Dual Extension to Discrete-Time Fractional Fourier Transform. IEEE Transactions on Circuits and System II: Analog and Digital Signal Processing, 47, 2883-2888.

has been cited by the following article:

• TITLE: Discrete Inequalities on LCT

  AUTHORS: Guanlei Xu, Xiaotong Wang, Xiaogang Xu

  KEYWORDS: Linear Canonical Transform (LCT), Uncertainty Inequality

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.6 No.2, May 15, 2015

  ABSTRACT: Linear canonical transform (LCT) is widely used in physical optics, mathematics and information processing. This paper investigates the generalized uncertainty principles, which plays an important role in physics, of LCT for concentrated data in limited supports. The discrete generalized uncertainty relation, whose bounds are related to LCT parameters and data lengths, is derived in theory. The uncertainty principle discloses that the data in LCT domains may have much higher concentration than that in traditional domains.