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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd">
<article article-type="research-article" dtd-version="1.2" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><front><journal-meta><journal-id journal-id-type="issn">2518-1092</journal-id><journal-title-group><journal-title>Research result. Information technologies</journal-title></journal-title-group><issn pub-type="epub">2518-1092</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.18413/2518-1092-2017-2-1-55-63</article-id><article-id pub-id-type="publisher-id">1066</article-id><article-categories><subj-group subj-group-type="heading"><subject>SYSTEM ANALYSIS AND PROCESSING OF KNOWLEDGE</subject></subj-group></article-categories><title-group><article-title>ABOUT SUBINTERVAL MATRICES BASED ON UNITARY TRANSFORMATIONS</article-title><trans-title-group xml:lang="en"><trans-title>ABOUT SUBINTERVAL MATRICES BASED ON UNITARY TRANSFORMATIONS</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Zhilyakov</surname><given-names>Evgeniy Georgievich</given-names></name><name xml:lang="en"><surname>Zhilyakov</surname><given-names>Evgeniy Georgievich</given-names></name></name-alternatives><email>Zhilyakov@bsu.edu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Chernomorets</surname><given-names>Andrey Alekseevich</given-names></name><name xml:lang="en"><surname>Chernomorets</surname><given-names>Andrey Alekseevich</given-names></name></name-alternatives><email>Chernomorets@bsu.edu.ru</email></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Bolgova</surname><given-names>Evgeniya Vitalievna</given-names></name><name xml:lang="en"><surname>Bolgova</surname><given-names>Evgeniya Vitalievna</given-names></name></name-alternatives><email>Bolgova_e@bsuedu.ru</email></contrib></contrib-group><pub-date pub-type="epub"><year>2017</year></pub-date><volume>2</volume><issue>1</issue><fpage>0</fpage><lpage>0</lpage><self-uri content-type="pdf" xlink:href="/media/information/2017/1/7.pdf" /><abstract xml:lang="ru"><p>In this paper we propose a ratio that help determine sub-areas of spatial frequencies at a selected unitary transformation, we introduce the concepts of parts and a shares of image energy in a given subarea of spatial frequencies for the chosen system of orthogonal basis functions. In the paper we describe a system of orthogonal basis functions for different unitary transformations, we propose on the basis of a separate unitary transformation calculation procedure of subinterval matrices, allowing to analyze the image properties in different subareas of spatial frequencies.</p></abstract><trans-abstract xml:lang="en"><p>In this paper we propose a ratio that help determine sub-areas of spatial frequencies at a selected unitary transformation, we introduce the concepts of parts and a shares of image energy in a given subarea of spatial frequencies for the chosen system of orthogonal basis functions. In the paper we describe a system of orthogonal basis functions for different unitary transformations, we propose on the basis of a separate unitary transformation calculation procedure of subinterval matrices, allowing to analyze the image properties in different subareas of spatial frequencies.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>subdomain of spatial frequencies</kwd><kwd>shares of energy</kwd><kwd>subinterval matrix</kwd><kwd>subband  matrix</kwd><kwd>unitary transformations</kwd></kwd-group><kwd-group xml:lang="en"><kwd>subdomain of spatial frequencies</kwd><kwd>shares of energy</kwd><kwd>subinterval matrix</kwd><kwd>subband  matrix</kwd><kwd>unitary transformations</kwd></kwd-group></article-meta></front><back><ref-list><title>Список литературы</title><ref id="B1"><mixed-citation>1. Ahmed N., Rao K., 1980. The orthogonal transform in digital signal processing. Moscow, Svyaz&amp;rsquo;, 248. (Jaroslavskij L.P., 1979. Introduction to digital image processing. Moscow, Sov. Radio, 312.</mixed-citation></ref><ref id="B2"><mixed-citation>2. Pratt W., 1982. Digital image processing. Moscow, Mir, 312.</mixed-citation></ref><ref id="B3"><mixed-citation>3. Zhilyakov E.G., Chernomorets A.A., 2010. About the frequency image analysis. Problems of Radio Electronics. 1: 94-103.</mixed-citation></ref><ref id="B4"><mixed-citation>4. Chernomorets A.A., Volchkov V.P., 2012. About properties of quasisubband and G-subband matrices. Belgorod State University Scientific Bulletin. Economics Information technologies. 1(120): 126-134.</mixed-citation></ref><ref id="B5"><mixed-citation>5. Chernomorets A.A., Bolgova E.V., 2015. On the analysis of data based on the cosine transformation. Belgorod State University Scientific Bulletin. Economics Information technologies. 1(198): 68-73.</mixed-citation></ref><ref id="B6"><mixed-citation>6. Zhilyakov E.G., Chernomorets A.A., 2013. Optimal separation of image subband components. 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