Spectral characteristics of two parameter fifth degree polynomial convolution kernel

In this paper, the spectral characteristic of a polynomial two parameter convolutional fifth-order interpolation kernel is determined. The spectral characteristic is determined as follows. First, the kernel is decomposed into components. After that, the spectral characteristics of each kernel compon...

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Main Authors: Milivojević Zoran, Savić Nataša, Prlinčević Bojan
Format: Article
Language:English
Published: University of Priština - Faculty of Natural Sciences and Mathematics, Kosovska Mitrovica 2022-01-01
Series:Bulletin of Natural Sciences Research
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/2738-0971/2022/2738-09712201015M.pdf
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author Milivojević Zoran
Savić Nataša
Prlinčević Bojan
author_facet Milivojević Zoran
Savić Nataša
Prlinčević Bojan
author_sort Milivojević Zoran
collection DOAJ
description In this paper, the spectral characteristic of a polynomial two parameter convolutional fifth-order interpolation kernel is determined. The spectral characteristic is determined as follows. First, the kernel is decomposed into components. After that, the spectral characteristics of each kernel component were calculated using the Fourier transform. Finally, the spectral characteristic of the interpolation two parameter kernel using a combination of the spectral components of the kernels and the kernel parameters, a and b, is formed. Through a numerical example and a graphical representation of the spectral characteristics of the one parameter and two parameter kernels, greater similarity of the spectral characteristics of the 2 P kernel, relative to the ideal box characteristic, is shown.
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spelling doaj.art-4519e708835e4009a0f5e8245531106c2022-12-22T04:00:09ZengUniversity of Priština - Faculty of Natural Sciences and Mathematics, Kosovska MitrovicaBulletin of Natural Sciences Research2738-10132022-01-01121152010.5937/bnsr12-387712738-09712201015MSpectral characteristics of two parameter fifth degree polynomial convolution kernelMilivojević Zoran0Savić Nataša1Prlinčević Bojan2Academy of Applied Technical and Preschool Studies, Niš, SerbiaAcademy of Applied Technical and Preschool Studies, Niš, SerbiaKosovo and Metohija Academy of Applied Studies, Leposavić, SerbiaIn this paper, the spectral characteristic of a polynomial two parameter convolutional fifth-order interpolation kernel is determined. The spectral characteristic is determined as follows. First, the kernel is decomposed into components. After that, the spectral characteristics of each kernel component were calculated using the Fourier transform. Finally, the spectral characteristic of the interpolation two parameter kernel using a combination of the spectral components of the kernels and the kernel parameters, a and b, is formed. Through a numerical example and a graphical representation of the spectral characteristics of the one parameter and two parameter kernels, greater similarity of the spectral characteristics of the 2 P kernel, relative to the ideal box characteristic, is shown.https://scindeks-clanci.ceon.rs/data/pdf/2738-0971/2022/2738-09712201015M.pdfconvolutioninterpolationpcc interpolationpolynomial kernel
spellingShingle Milivojević Zoran
Savić Nataša
Prlinčević Bojan
Spectral characteristics of two parameter fifth degree polynomial convolution kernel
Bulletin of Natural Sciences Research
convolution
interpolation
pcc interpolation
polynomial kernel
title Spectral characteristics of two parameter fifth degree polynomial convolution kernel
title_full Spectral characteristics of two parameter fifth degree polynomial convolution kernel
title_fullStr Spectral characteristics of two parameter fifth degree polynomial convolution kernel
title_full_unstemmed Spectral characteristics of two parameter fifth degree polynomial convolution kernel
title_short Spectral characteristics of two parameter fifth degree polynomial convolution kernel
title_sort spectral characteristics of two parameter fifth degree polynomial convolution kernel
topic convolution
interpolation
pcc interpolation
polynomial kernel
url https://scindeks-clanci.ceon.rs/data/pdf/2738-0971/2022/2738-09712201015M.pdf
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AT prlincevicbojan spectralcharacteristicsoftwoparameterfifthdegreepolynomialconvolutionkernel