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Bragg grating based integrated photonic Hilbert transformers
Planar Bragg grating based photonic Hilbert transformers are experimentally demonstrated in this work. Planar Bragg gratings are utilized to implement a general Hilbert transform, a fractional order Hilbert transform and terahertz bandwidth Hilbert ...
Smith, P.G.R. +3 more
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On Finite Hilbert Transforms [PDF]
Let E be a bounded measurable subset of the real line. The finite Hilbert transform is the operator HE defined on one of the spaces LP(E) (1 1, the Hilbert transform of f at x is defined by (1) Hf(x) = li (rmi) f f(tXt -x) 1dt, provided this latter limit exists. It is known that if f is in LP(R), for p > 1, then Hf exists a.e.
openaire +1 more source
In this work, we present a novel Hilbert-twin method to compute an envelope and the logarithmic decrement, δ, from exponentially damped time-invariant harmonic strain signals embedded in noise.
Magalas L.B., Majewski M.
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AragornJDC/Hilbert-transform: Hilbert transform algorithm
Hilbert transform ...
AragornJDC
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Time-Frequency Analysis of Noisy Vibration Signal Based on Improved Hilbert-Huang Transform
Aimed at the phenomenon of modal confusion and lack of practical significance of instantaneous frequency caused by Hilbert-Huang transform (HHT) noisy vibration signal time-frequency analysis, complete ensemble empirical mode decomposition with adaptive ...
SUN Miao, YANG Junkai, WU Li
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Pulse Signal Analysis Method Based on Improved HHT [PDF]
The traditional Hilbert-Huang Transform(HHT) has low accuracy in Empirical Mode Decomposition(EMD) when processing pulse signals,and there are mode mixing problems.In response to this problem,this paper proposes an improved HHT method.Combined with Time ...
KUANG Xue, LI Zhi, WANG Yongjun, ZHANG Shaorong
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The Hilbert transform of a measure
Let $\fre$ be a homogeneous subset of $\bbR$ in the sense of Carleson. Let $μ$ be a finite positive measure on $\bbR$ and $H_μ(x)$ its Hilbert transform. We prove that if $\lim_{t\to\infty} t \abs{\fre\cap\{x\mid\abs{H_μ(x)}>t\}}=0$, then $μ_s(\fre)=0$, where $μ_\s$ is the singular part of $μ$.
Poltoratski, Alexei +2 more
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Time-varying Lifting Structures For Single-tree Complexwavelet Transform [PDF]
In this paper, we describe a single-tree complex wavelet transform method using time-varying lifting structures. In the dualtree complex wavelet transform (DT-CWT), two different filterbanks are executed in parallel to analyze a given input signal, which
A. Enis Cetin +3 more
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toster90/NFFT-based-Hilbert-transform: Initial release
The calculation of the Hilbert transform by a non-equispaced Fast Fourier Transform (NFFT) and its application to gravity and magnetic data Computes the Hilbert transform of vector fields in the space domain (see Nabighian, 1984: https://doi.org/10.1190 ...
Tobias B.
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