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		<identifier>oai:zbc.uz.zgora.pl:79096</identifier>
	    <datestamp>2025-07-14T12:34:36Z</datestamp>
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<dc:title xml:lang="pl"><![CDATA[Application of cubic box spline wavelets in the analysis of signal singularities]]></dc:title>
<dc:creator><![CDATA[Rakowski, Waldemar]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[cubic box splines]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[wavelets]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[dyadic wavelet transform]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[singularity detection]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[In the subject literature, wavelets such as the Mexican hat (the second derivative of a Gaussian) or the quadratic box spline are commonly used for the task of singularity detection. The disadvantage of the Mexican hat, however, is its unlimited support; the disadvantage of the quadratic box spline is a phase shift introduced by the wavelet, making it difficult to locate singular points.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[The paper deals with the construction and properties of wavelets in the form of cubic box splines which have compact and short support and which do not introduce a phase shift. The digital filters associated with cubic box wavelets that are applied in implementing the discrete dyadic wavelet transform are defined. The filters and the "algorithme ? trous" of the discrete dyadic wavelet transform are used in detecting signal singularities and in calculating the measures of signal singularities in the form of a Lipschitz exponent. The article presents examples illustrating the use of cubic box spline wavelets in the analysis of signal singularities.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Iacono, Mauro - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kołodziej, Joanna - ed.]]></dc:contributor>
<dc:date><![CDATA[2015]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/79096/AMCS_2015_25_4_16.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88928/edition/79096/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:79096]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 25, number 4 (2015)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=63]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88928]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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