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We demonstrate that one "targeted stochasticity" scenario involves Langevin systems with a symmetric stable noise.
Furthermore, it is shown that if the phase error is large, a small step-size parameter μ should be adopted to achieve stable noise cancellation, though the convergence speed becomes slow in the frequency domain.
In [7], a weak solution is established for the stochastic heat equation driven by stable noise with coefficients of polynomial growth.
Nevertheless, it cannot provide stable noise suppression and may introduce music noise because the dynamic range of weighting factor is too large.
Figure 2 illustrates some stable random walks driven by accumulation of increments from stable noise with various α values.
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This produces a stable noise-level estimate during the speech segment and thus a more correct subband gain is applied.
The core of the criticism is that it is not trivial to establish a stable, noise-resistant and accurate gradient spanning sufficiently relevant distances over the embryo, solely through production, degradation and diffusion of a morphogen alone [ 19, 21- 28].
The ability of least BER (LBER) equalisers based on a Gaussian noise assumption to operate in an α-stable noise environment is also highlighted.
Its robustness and accuracy in the presence of α-stable noise are demonstrated by comparing it with the standard two-step scheme, cross-correlator and fractional lower-order covariation method.
From this representation it follows that the transition semigroup corresponding to the equation on E= R, driven by an α-stable noise L, α∈ 0,2), is neither compact nor symmetric.
The measurements are corrupted by α-stable noise with α=1 and σ=0.01.
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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