Results 71 to 80 of about 2,687,450 (307)
Computing Instantaneous Frequency by normalizing Hilbert Transform [PDF]
, 2005 This invention presents Normalized Amplitude Hilbert Transform (NAHT) and Normalized Hilbert Transform(NHT), both of which are new methods for computing Instantaneous Frequency. This method is designed specifically to circumvent the limitation set by the
Huang, Norden E.
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The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
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Certain isometries related to the bilateral laplace transform
Mathematical Modelling and Analysis, 2006 We study certain isometries between Hilbert spaces, which are generated by the bilateral Laplace transform In particular, we construct an analog of the Bargmann‐Fock type reproducing kernel Hilbert space related to this transformation. It is shown
S. B. Yakubovich
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Some properties of a modified Hilbert transform
Comptes Rendus. MathématiqueRecently, Steinbach et al. introduced a novel operator $\mathcal{H}_T: L^2(0,T) \rightarrow L^2(0,T)$, known as the modified Hilbert transform. This operator has shown its significance in space-time formulations related to the heat and wave equations. In
Ferrari, Matteo
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De-noising of ECG Signal and QRS Detection Using Hilbert Transform and Adaptive Thresholding
, 2016 Electrocardiogram (ECG) is a primary diagnostic tool for cardiac disorders. During acquisition of ECG signals different noises like instrument noise, muscle noise, motion artifacts and baseline wander are frequently mixed with signals in real-time ...
Santanu Sahoo +3 more
semanticscholar +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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The Segal-Bargmann Transform on Compact Symmetric Spaces and their Direct Limits [PDF]
, 2011 We study the Segal-Bargmann transform, or the heat transform, $H_t$ for a compact symmetric space $M=U/K$. We prove that $H_t$ is a unitary isomorphism $H_t : L^2(M) \to \cH_t (M_\C)$ using representation theory and the restriction principle.
Olafsson, Gestur, Wiboonton, Keng
core
Seizure forecasting with epilepsy cycles: On the causality of forecasting pipelines
Epilepsia, EarlyView.Abstract Objective Seizure risk is modulated by multiscale brain rhythms. Previous studies using cycles in electroencephalography, heart rate, and wearable data suggest the possibility of forecasting seizures days in advance. However, they commonly rely on methods requiring (days of) information from time points beyond the moment of forecast (noncausal
Hongliu Yang +6 more
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Rhythms in longitudinal thalamic recordings are linked to seizure risk
Epilepsia, EarlyView.Abstract Objective Seizure unpredictability remains a major clinical challenge for people with epilepsy. Previous works have shown that seizure risk is associated with circadian and multi‐day cycles in both brain and physiological signals. However, it remains unclear whether neural activity from deep brain structures such as the anterior nucleus of the
Xinbing Zhang +5 more
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