Uncertainty Principles and the Linear Canonical Transform

DOI10.1007/978-1-4939-3028-9_4zbMath1364.94169OpenAlexW2308722648MaRDI QIDQ2798287

Juan Zhao, Ran Tao

Publication date: 12 April 2016

Published in: Linear Canonical Transforms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-3028-9_4

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Waves and radiation in optics and electromagnetic theory (78A40) Other fundamental interactions in quantum theory (81V19)

Related Items (2)

Generalized Balian-Low theorem associated with the linear canonical transform ⋮ The uncertainty principle: Variations on a theme

Cites Work

• Fractional Fourier domains
• New inequalities and uncertainty relations on linear canonical transform revisit
• On signal moments and uncertainty relations associated with linear canonical transform
• The uncertainty principle: A mathematical survey
• Generalized entropic uncertainty principle on fractional Fourier transform
• The logarithmic, Heisenberg's and short-time uncertainty principles associated with fractional Fourier transform
• Information theoretic inequalities
• Uncertainty principles invariant under the fractional Fourier transform
• Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
• Uncertainty Principles for Linear Canonical Transform
• On Uncertainty Principle for the Linear Canonical Transform of Complex Signals
• Pitt's Inequality and the Uncertainty Principle
• An uncertainty principle for real signals in the fractional Fourier transform domain

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