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Fractional Analytic Signals

Authors :
Adolf Cusmariu
Publication Year :
2020
Publisher :
Zenodo, 2020.

Abstract

The fractional Hilbert transform (FHT) is a linear combination of a signal and its Hilbert transform, and invites extensions of the classical analytic signal. Mathematical properties of the FHT and three possible versions of fractional analyticity are explored in detail.

Subjects

Subjects :
Hilbert series and Hilbert polynomial
Mathematical analysis
Rigged Hilbert space
Hilbert spectral analysis
Hilbert matrix
Hilbert–Huang transform
symbols.namesake
Hilbert transform, Fractional Hilbert transform, Analytic signals
Control and Systems Engineering
Signal Processing
symbols
Applied mathematics
Computer Vision and Pattern Recognition
Hilbert transform
Electrical and Electronic Engineering
Analytic signal
Software
Mathematics
Reproducing kernel Hilbert space

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....91f4b8e34e83c3396a90435697840f74
Full Text :
https://doi.org/10.5281/zenodo.3953019
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