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Hilbert transforms

Citation: 'Hilbert transforms' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.08256 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms ...
openaire   +1 more source

Tone‐Evoked Sleep Electroencephalographic Slow Oscillations as a Function of Peripheral Rhythms: New Insights Into the Brain–Heart Integration

Journal of Sleep Research, EarlyView.
ABSTRACT Recent studies have shown that acoustic stimulation, a common neuromodulation technique, can enhance slow‐wave activity (SWA), which is associated with immune, autonomic nervous system activity and cognitive health benefits. Despite some disagreement, many studies suggest that maximising tone‐evoked SWA depends on the timing of the acoustic ...
Mohamad Forouzanfar, Sepehr Sardooeinasab, Fiona C. Baker, Ian M. Colrain, Massimiliano de Zambotti   +4 more
wiley   +1 more source

Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach. [PDF]

Anal Math Phys, 2020
Bertola M, Blackstone E, Katsevich A, Tovbis A.   +3 more
europepmc   +1 more source

Differential Nap‐To‐Nap Stability of Sleep Spindles, Slow Waves, and their Temporal Coupling: An Exploratory Study

Journal of Sleep Research, EarlyView.
ABSTRACT Slow waves and sleep spindles characterise non‐rapid eye movement (NREM) sleep and support cognitive and plasticity‐related functions. While their stability across nights is well established, less is known about their consistency across daytime naps.
Damiana Bergamo, Antonino Visalli, Angie Baldassarri, Nicola Cellini   +3 more
wiley   +1 more source

Refined Division of Sleep Stages in the Mouse Based on Distributed Deep Electrodes and Underlying Infra‐Slow Oscillation

Journal of Sleep Research, EarlyView.
ABSTRACT The mouse sleep is mostly recorded with only epidural electrodes and divided simply into NREM and REM stages. With the help of distributed intracerebral triplet electrodes, we searched for possible new electrophysiological signatures to characterise more specific sleep substages within the timeframe of seconds to tens of minutes.
Nanxiang Jin, Sara Häkli, Keerthana Malathi, Hennariikka Koivisto, Theodor Boc, Jonas Schimmel, Eric Castell‐Caubet, Irina Gureviciene, Heikki Tanila   +8 more
wiley   +1 more source

The Potential of Ensemble‐Based Automated Sleep Staging on Single‐Channel EEG Signal From a Wearable Device

Journal of Sleep Research, EarlyView.
ABSTRACT Machine‐learning‐based sleep staging models have achieved expert‐level performance on standard polysomnographic (PSG) data. However, their application to EEG recorded by wearable devices remains limited by non‐conventional referencing montage and the lack of benchmarking against PSG.
Federico Salfi, Domenico Corigliano, Giulia Amicucci, Samantha Mombelli, Aurora D'Atri, John Axelsson, Michele Ferrara   +6 more
wiley   +1 more source

Density‐Valued ARMA Models by Spline Mixtures

Journal of Time Series Analysis, EarlyView.
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley   +1 more source

Structural Damage Localization and Quantification Based on a CEEMDAN Hilbert Transform Neural Network Approach: A Model Steel Truss Bridge Case Study. [PDF]

Sensors (Basel), 2020
Mousavi AA, Zhang C, Masri SF, Gholipour G.   +3 more
europepmc   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

On the Existence of One‐Sided Representations for the Generalised Dynamic Factor Model

Journal of Time Series Analysis, EarlyView.
ABSTRACT We study the Generalised Dynamic Factor Model (GDFM) and show that the dynamic common component, that is, the common component of the GDFM, can be expressed using only current and past observations under mild assumptions. Specifically, we require (i) the dynamic common component to be purely non‐deterministic and (ii) the exclusion of ...
Philipp Gersing
wiley   +1 more source