Generalized entropic uncertainty principle on fractional Fourier transform

DOI10.1016/J.SIGPRO.2009.05.014zbMath1197.94058OpenAlexW361539523MaRDI QIDQ1957716

Guanlei Xu, Xiaotong Wang, Xiaogang Xu

Publication date: 27 September 2010

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sigpro.2009.05.014

zbMATH Keywords

uncertainty principlefractional Fourier transform (FRFT)Shannon and Rényi entropy

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Measures of information, entropy (94A17) Sampling theory in information and communication theory (94A20)

Related Items (4)

The fractional Fourier transform and quadratic field magnetic resonance imaging ⋮ Fractional Fourier transform as a signal processing tool: an overview of recent developments ⋮ Uncertainty principles of hypercomplex functions for fractional Fourier transform ⋮ Uncertainty Principles and the Linear Canonical Transform

Cites Work

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• The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
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• Information theoretic inequalities
• Uncertainty principles invariant under the fractional Fourier transform
• An uncertainty principle for real signals in the fractional Fourier transform domain
• The Uncertainty Principle: Global, Local, or Both?
• Elements of Information Theory

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