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The numerical simulation results show that our method is valid and robust against the weak noise.
This paper exploits the large deviations approach for estimating the first-exit time for a class of non-linear oscillatory systems with energy-dependent dissipation and weak noise.
Although aging was associated with phoneme dedifferentiation in speech-relevant regions, phoneme specificity was better preserved in frontal articulatory regions than in auditory cortices, and this advantage was not affected by relatively weak noise masking.
The Gaussian basis is introduced with the aim of achieving more efficient computations in the weak noise case with near-deterministic dynamics.
A regular perturbation method is applied to solve the eigenvalue problem to obtain second-order, weak noise expansions of the moment Lyapunov exponents.
A singular perturbation method is applied to solve the eigenvalue problem to obtain second-order, weak noise expansions of the moment Lyapunov exponents.
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In this, positive values cause the peaks to be accented while the weaker frequencies to be expanded out by the pushing of their values towards 0. Negative values have the opposite effect, compressing the dynamic range of the response which then draws out the weaker noise components.
Attached turbulent boundary layers are observed to yield the weakest noise generation mechanism while mixed transitional and laminar boundary layers at the trailing edge yield the strongest mechanism producing both high levels of broadband noise and tonal noise components.
Certain techniques are explored such that the obtained performance index is of strictly non-weighted H∞ norm, which contrasts with the weighted (or called exponential) ones, i.e., weaker noise attenuation in the existing literature of switched systems with average dwell-time.
FBMC/OQAM performs slightly worse at the weaker noise region.
Note that for stronger speech STSA components (or equivalently weaker noise components) a larger gain function value is desirable in general.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com