Partial parameterization of orthogonal wavelet matrix filters

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• 作者：Mariantonia Cotronei^a ; ^{mariantonia.cotronei@unirc.it} ; Matthias Holschneider^b ; ^{hols@math.uni-potsdam.de}
• 关键词：65T60
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2013
• 出版时间：1 May, 2013
• 年：2013
• 卷：243
• 期：Complete
• 页码：113-125
• 全文大小：323 K

文摘

In this paper we propose a procedure which allows the construction of a large family of FIR matrix wavelet filters by exploiting the one-to-one correspondence between QMF systems and orthogonal operators which commute with the shifts by two. A characterization of the class of filters of full rank type that can be obtained with such procedure is given. In particular, we restrict our attention to a special construction based on the representation of in terms of the elements of its Lie algebra. Explicit expressions for the filters in the case are given, as a result of a local analysis of the parameterization obtained from perturbing the Haar system.