Phase derivative of monogenic signals in higher dimensional spaces

DOI10.1007/s11785-011-0210-xzbMath1275.30027OpenAlexW2092125779MaRDI QIDQ371727

Tao Qian, Yan Yang, Fransiscus Sommen

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-011-0210-x

zbMATH Keywords

Poisson kernelMöbius transformsmonogenic signals

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

A class of iterative greedy algorithms related to Blaschke product ⋮ Positive-instantaneous frequency and approximation ⋮ Stronger uncertainty principles for hypercomplex signals ⋮ Riesz-based orientation of localizable Gaussian fields ⋮ The monogenic synchrosqueezed wavelet transform: a tool for the decomposition/demodulation of AM-FM images ⋮ Uncertainty principle and phase-amplitude analysis of signals on the unit sphere ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle ⋮ A Theory on Non-Constant Frequency Decompositions and Applications ⋮ Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces ⋮ Edge detection methods based on modified differential phase congruency of monogenic signal ⋮ Space-frequency analysis in higher dimensions and applications

Cites Work

• Analytic unit quadrature signals with nonlinear phase
• Hardy-Sobolev spaces decomposition in signal analysis
• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
• Adaptive Fourier series---a variation of greedy algorithm
• Analytic signals and harmonic measures
• Hilbert transforms on the sphere with the Clifford algebra setting
• Hardy-Sobolev derivatives of phase and amplitude, and their applications
• A new Hilbert transform on the unit sphere in
• Intrinsic mono-component decomposition of functions: An advance of Fourier theory
• Boundary derivatives of the phases of inner and outer functions and applications
• Hilbert transforms and the Cauchy integral in euclidean space
• The monogenic signal
• On the interplay between the Hilbert transform and conjugate harmonic functions
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