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...

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Main Authors: Kazaryan Maretta, Shahramanyan Mihail, Richter Andrey
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
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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.
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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
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AT shahramanyanmihail spacemonitoringoftheearthonthepresenceofsoliddomesticwastesusingadiscreteorthogonaltransforms
AT richterandrey spacemonitoringoftheearthonthepresenceofsoliddomesticwastesusingadiscreteorthogonaltransforms