Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Hilbert_transform> ?p ?o }
- Hilbert_transform abstract "In mathematics and in signal processing, the Hilbert transform is a linear operator that takes a function, u(t), and produces a function, H(u)(t), with the same domain.The Hilbert transform is important in signal processing, where it derives the analytic representation of a signal u(t). This means that the real signal u(t) is extended into the complex plane such that it satisfies the Cauchy–Riemann equations.For example, the Hilbert transform leads to the harmonic conjugate of a given function in Fourier analysis, aka harmonic analysis. Equivalently, it is an example of a singular integral operator and of a Fourier multiplier.The Hilbert transform was originally defined for periodic functions, or equivalently for functions on the circle, in which case it is given by convolution with the Hilbert kernel. More commonly, however, the Hilbert transform refers to a convolution with the Cauchy kernel, for functions defined on the real line R (the boundary of the upper half-plane). The Hilbert transform is closely related to the Paley–Wiener theorem, another result relating holomorphic functions in the upper half-plane and Fourier transforms of functions on the real line.The Hilbert transform is named after David Hilbert, who first introduced the operator to solve a special case of the Riemann–Hilbert problem for holomorphic functions.".
- Hilbert_transform thumbnail Hilbert_transform.svg?width=300.
- Hilbert_transform wikiPageExternalLink RM3439.pdf.
- Hilbert_transform wikiPageExternalLink 0909.1426.
- Hilbert_transform wikiPageExternalLink Analytic_Signals_Hilbert_Transform.html.
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- Hilbert_transform wikiPageExternalLink GS256_Lecture3.pdf.
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- Hilbert_transform wikiPageWikiLink Alberto_Calderón.
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- Hilbert_transform wikiPageWikiLink Analytic_function.
- Hilbert_transform wikiPageWikiLink Analytic_signal.
- Hilbert_transform wikiPageWikiLink Andrey_Kolmogorov.
- Hilbert_transform wikiPageWikiLink Anticommutativity.
- Hilbert_transform wikiPageWikiLink Antoni_Zygmund.
- Hilbert_transform wikiPageWikiLink Banach_space.
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- Hilbert_transform wikiPageWikiLink Boundary_(topology).
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- Hilbert_transform wikiPageWikiLink Category:Harmonic_functions.
- Hilbert_transform wikiPageWikiLink Category:Integral_transforms.
- Hilbert_transform wikiPageWikiLink Category:Signal_processing.
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- Hilbert_transform wikiPageWikiLink Cauchy_principal_value.
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- Hilbert_transform wikiPageWikiLink Distribution_(mathematics).
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- Hilbert_transform wikiPageWikiLink Fourier_analysis.
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- Hilbert_transform wikiPageWikiLink Hardy_space.
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- Hilbert_transform wikiPageWikiLink Harmonic_conjugate.
- Hilbert_transform wikiPageWikiLink Heterodyne.
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- Hilbert_transform wikiPageWikiLink MATLAB.
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- Hilbert_transform wikiPageWikiLink Marcinkiewicz_interpolation_theorem.
- Hilbert_transform wikiPageWikiLink Mathematics.
- Hilbert_transform wikiPageWikiLink Multiplier_(Fourier_analysis).
- Hilbert_transform wikiPageWikiLink Negative_frequency.
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- Hilbert_transform wikiPageWikiLink Paley–Wiener_theorem.
- Hilbert_transform wikiPageWikiLink Periodic_function.
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- Hilbert_transform wikiPageWikiLink Phase_modulation.
- Hilbert_transform wikiPageWikiLink Poisson_kernel.
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- Hilbert_transform wikiPageWikiLink Regularization_(physics).
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- Hilbert_transform wikiPageWikiLink Self-adjoint.
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- Hilbert_transform wikiPageWikiLink Square-integrable_function.