Microwave fractional Hilbert transformer implemented in a dispersion-tailored few-mode fiber.
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DOI: 10.1364/oe.522981
Abstract: We experimentally demonstrate, for the first time to our knowledge, a microwave fractional Hilbert transformer in a few-mode fiber using a transversal filtering approach. The filter taps are provided by a tunable true-time delay line… read more here.
Keywords: mode fiber; fractional hilbert; microwave fractional; hilbert ... See more keywords
The Fractional Hilbert Transform of Generalized Functions
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DOI: 10.3390/sym14102096
Abstract: The fractional Hilbert transform, a generalization of the Hilbert transform, has been extensively studied in the literature because of its widespread application in optics, engineering, and signal processing. In the present work, we expand the… read more here.
Keywords: fractional hilbert; transform; transform generalized; hilbert transform ... See more keywords
Discrete Local Fractional Hilbert-type Inequalities
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DOI: 10.46793/kgjmat2506.899v
Abstract: The main objective of this paper is a study of some new discrete local fractional Hilbert-type inequalities. We apply our general results to homogeneous kernels. Also, the obtained results have the best possible constants. read more here.
Keywords: fractional hilbert; discrete local; local fractional; hilbert type ... See more keywords