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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Format: | Article |
Language: | English |
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University of Priština - Faculty of Natural Sciences and Mathematics, Kosovska Mitrovica
2022-01-01
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Series: | Bulletin of Natural Sciences Research |
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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. |
first_indexed | 2024-04-11T22:20:51Z |
format | Article |
id | doaj.art-4519e708835e4009a0f5e8245531106c |
institution | Directory Open Access Journal |
issn | 2738-1013 |
language | English |
last_indexed | 2024-04-11T22:20:51Z |
publishDate | 2022-01-01 |
publisher | University of Priština - Faculty of Natural Sciences and Mathematics, Kosovska Mitrovica |
record_format | Article |
series | Bulletin of Natural Sciences Research |
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 |
work_keys_str_mv | AT milivojeviczoran spectralcharacteristicsoftwoparameterfifthdegreepolynomialconvolutionkernel AT savicnatasa spectralcharacteristicsoftwoparameterfifthdegreepolynomialconvolutionkernel AT prlincevicbojan spectralcharacteristicsoftwoparameterfifthdegreepolynomialconvolutionkernel |