Stronger uncertainty principles for hypercomplex signals

DOI10.1080/17476933.2015.1041938zbMath1342.42006OpenAlexW1828301830MaRDI QIDQ3455412

Pei Dang, Yan Yang, Tao Qian

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1041938

zbMATH Keywords

Fourier transformcovarianceuncertainty principleshypercomplex signals

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (8)

A new bound of uncertainty principle for real para-vector valued signals ⋮ Uncertainty principles for doubly periodic functions ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle ⋮ The uncertainty principle for the octonion Fourier transform ⋮ Uncertainty principles for images defined on the square ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Clifford wavelet transform and the uncertainty principle ⋮ Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces

Cites Work

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• Fractional Fourier domains
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• Extensions of the Heisenberg-Weyl inequality
• A sharper uncertainty principle
• Sampling of compact signals in offset linear canonical transform domains
• Paley-Wiener theorems and uncertainty principles for the windowed linear canonical transform
• Information theoretic inequalities
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• Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
• A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative
• An uncertainty principle for real signals in the fractional Fourier transform domain
• Some uncertainty principles for time-frequency transforms of the Cohen class
• The Uncertainty Principle: Global, Local, or Both?
• CLIFFORD ALGEBRA Cl_3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS

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