Sentence examples for convolution structures from inspiring English sources

Recently in [1], Kiliçman and Al Zhour presented the iterative solution of such coupled matrix equations based on the Kronecker convolution structures.

The prime N-length DCT was divided into similar cyclic convolution structures, and the DCT was implemented using systolic array structure [10].

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.

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.

The proposed restructuring technique transforms the DCT algorithm into a cycle-convolution and a pseudo-cycle convolution structure as basic computational forms.

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.