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In this article, the optimum combined of window functions was designed based on the finite difference operator using a truncated approximation of the spatial convolution series in pseudo-spectrum space, to normalize the outcomes of existing window functions for different orders.
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Technically, using a truncated polynomial expansion to approximate a generalized function such as a Dirac delta is a far from perfect approximation.
From (15), we can see that {Y 1,Y 2,…,Y M }⊂RowSpace(C), where Y i denotes the i th row of Y. Now, let us obtain a rank-K approximation of Y by using a truncated SVD (truncated at the singular value σ K ): Y ≈ U M × K Σ K × K V K × T ⊤ (16).
This function is approximated using a truncated complex Fourier series.
The remaining trip distances are randomly generated using a truncated non-negative Gaussian distribution.
LTE throughput was modeled using a truncated Shannon formula combined with validated parameters provided in [23].
Seasonality was fitted using a truncated Fourier series [ 24].
Such a smooth Gaussian approximation allows us to use a truncated polynomial expansion to accurately approximate the density after the splitting event.
In contrast to the previous studies, here we use a truncated state-space for steady state probability distribution approximation, which is arguably more general since we make no assumptions on the relationships of the moments of the distribution.
The adaptive MEgPC approach uses a truncated generalized Wiener expansion of degree p ˆ = 3 for the approximation of the solution.
Confidence intervals were calculated using a normality approximation algorithm.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com