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Birula, I.B. (1985) Entropic Uncertainty Relations in Quantum Mechanics, Quantum Probability and Applications II, In: Accardi, L. and von Waldenfels, W., Eds., Lecture Notes in Mathematics 1136, Springer, Berlin, 90.

has been cited by the following article:

• TITLE: Support-Limited Generalized Uncertainty Relations on Fractional Fourier Transform

  AUTHORS: Xiaotong Wang, Guanlei Xu

  KEYWORDS: Discrete Fractional Fourier Transform (DFRFT), Uncertainty Principle, Frequency-Limiting Operator

  JOURNAL NAME: Journal of Signal and Information Processing, Vol.6 No.3, August 21, 2015

  ABSTRACT: This paper investigates the generalized uncertainty principles of fractional Fourier transform (FRFT) for concentrated data in limited supports. The continuous and discrete generalized uncertainty relations, whose bounds are related to FRFT parameters and signal lengths, were derived in theory. These uncertainty principles disclose that the data in FRFT domains may havemuch higher concentration than that in traditional time-frequency domains, which will enrich the ensemble of generalized uncertainty principles.