SOME PROPERTIES OF CENTROSYMMETRIC MATRICES AND ITS APPLICATIONS

(整期优先)网络出版时间:2005-02-12
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Inthispaper,somepropertiesofcentrosymmetricmatrices,whichoftenappearintheconstructionoforthonormalwaveletbasisinwaveletanalysis,areinvestigated.Asanapplication,analgorithmwhichistightlyrelatedtoaso-calledLawtonmatrixispresented.Inthisalgorithm,aboutonlyhalfofmemoryunitsarerequiredandquarterofcomputationalcostisneededbyexploitingthepropertyoftheLawtonmatrixandusingacompressiontechnique,itiscomparedtoonefortheoriginalLawtonmatrix.