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Exact(11)
The new convolution structure is easy to implement in the designing of filters.
This sampling expansion which is constructed by the new convolution structure can reduce the effect of spectral leakage and is easy to implement.
end{gathered} From [28], we have the following important lemma regarding the nonnegative nature of some real quadratic forms possessing a convolution structure.
The form above is useful for computational purposes, since (psi_{n}^{mu}) can easily be computed using a fast Fourier transform (exploiting its convolution structure).
However, exploiting the convolution structure of (1) allows one to write the Fourier transform of ∫ R 2 d x ′ w ( | x − x ′ | ) f ( x ′, t ) as a product.
This convolution structure is very common and often present in siltstone and mudstone (Fig. 7c, d), indicating semi-consolidated sediments in a delta front sub-environment.
Similar(49)
The prime N-length DCT was divided into similar cyclic convolution structures, and the DCT was implemented using systolic array structure [10].
Recently in [1], Kiliçman and Al Zhour presented the iterative solution of such coupled matrix equations based on the Kronecker convolution structures.
In this paper, we derive explicit product formulas and positive convolution structures for three continuous classes of Heckman Opdam hypergeometric functions of type BC.
The classical definitions of fractional operators and their generalizations have fruitfully been applied in obtaining, for example, the characterization properties, coefficient estimates [1], distortion inequalities [2] and convolution structures for various subclasses of analytic functions and the works in the research monographs.
For example, the fast-convolution structure [14], which is currently under study for its extension on the multipath channel, is superior to the proposed structure in terms of computational complexity.
Write better and faster with AI suggestions while staying true to your unique style.
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