Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms
The paper investigates multivariate Wavelet Haar’s series. To study on the correctness is made by means of Tikhonov’s method. A theorem on stability and uniform convergence of a regularized summable function of the wavelet-Haar’s series functions in Lipschitz class with approximate coeff...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Faculty of Technical Sciences in Cacak
2017-01-01
|
Series: | Serbian Journal of Electrical Engineering |
Subjects: | |
Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691703343K.pdf |
_version_ | 1811235699801718784 |
---|---|
author | Kazaryan Maretta Shahramanyan Mihail Richter Andrey |
author_facet | Kazaryan Maretta Shahramanyan Mihail Richter Andrey |
author_sort | Kazaryan Maretta |
collection | DOAJ |
description | The paper investigates multivariate Wavelet Haar’s series. To study on the
correctness is made by means of Tikhonov’s method. A theorem on stability
and uniform convergence of a regularized summable function of the
wavelet-Haar’s series functions in Lipschitz class with approximate
coefficients is proved. An experiment confirms the validity of Tikhonov’s
method using space monitoring of waste disposal facilities is conducted as
an example. Namely, the decoding of space images-images using N-dimensional
Haar’s wavelet transform is used. |
first_indexed | 2024-04-12T11:56:27Z |
format | Article |
id | doaj.art-f152a26e364b488da53303b0758c02a4 |
institution | Directory Open Access Journal |
issn | 1451-4869 2217-7183 |
language | English |
last_indexed | 2024-04-12T11:56:27Z |
publishDate | 2017-01-01 |
publisher | Faculty of Technical Sciences in Cacak |
record_format | Article |
series | Serbian Journal of Electrical Engineering |
spelling | doaj.art-f152a26e364b488da53303b0758c02a42022-12-22T03:34:00ZengFaculty of Technical Sciences in CacakSerbian Journal of Electrical Engineering1451-48692217-71832017-01-0114334336410.2298/SJEE1703343K1451-48691703343KSpace monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transformsKazaryan Maretta0Shahramanyan Mihail1Richter Andrey2Financial University under the Government of the Russian Federation, Vladikavkaz, Republic North Osetia - Alania, RussiaResearch Institute “Aerospace”, Moscow, RussiaResearch Institute “Aerospace”, Moscow, RussiaThe paper investigates multivariate Wavelet Haar’s series. To study on the correctness is made by means of Tikhonov’s method. A theorem on stability and uniform convergence of a regularized summable function of the wavelet-Haar’s series functions in Lipschitz class with approximate coefficients is proved. An experiment confirms the validity of Tikhonov’s method using space monitoring of waste disposal facilities is conducted as an example. Namely, the decoding of space images-images using N-dimensional Haar’s wavelet transform is used.http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691703343K.pdfFourier transformN-dimensional discrete wavelet transformWavelet Haar’s seriesN-dimensional discrete Fourier transformTikhonov’s methodspace monitoring of waste disposal sites |
spellingShingle | Kazaryan Maretta Shahramanyan Mihail Richter Andrey Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms Serbian Journal of Electrical Engineering Fourier transform N-dimensional discrete wavelet transform Wavelet Haar’s series N-dimensional discrete Fourier transform Tikhonov’s method space monitoring of waste disposal sites |
title | Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
title_full | Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
title_fullStr | Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
title_full_unstemmed | Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
title_short | Space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
title_sort | space monitoring of the earth on the presence of solid domestic wastes using a discrete orthogonal transforms |
topic | Fourier transform N-dimensional discrete wavelet transform Wavelet Haar’s series N-dimensional discrete Fourier transform Tikhonov’s method space monitoring of waste disposal sites |
url | http://www.doiserbia.nb.rs/img/doi/1451-4869/2017/1451-48691703343K.pdf |
work_keys_str_mv | AT kazaryanmaretta spacemonitoringoftheearthonthepresenceofsoliddomesticwastesusingadiscreteorthogonaltransforms AT shahramanyanmihail spacemonitoringoftheearthonthepresenceofsoliddomesticwastesusingadiscreteorthogonaltransforms AT richterandrey spacemonitoringoftheearthonthepresenceofsoliddomesticwastesusingadiscreteorthogonaltransforms |