An Optimization Algorithm for Orthogonal Trivariate Wavelets with Short Support
Keyword(s):
Wavelet analysis is nowadays a widely used tool in applied mathe-matics. The advantages of wavelet packets and their promising features in various application have attracted a lot of interest and effort in recent years.. The notion of vector-valued binary wavelets with two-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with multi-scale is discussed. A necessary and sufficient condition is presented by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal vector-valued wave-lets with compact support is proposed, and their properties are investigated.
2011 ◽
Vol 204-210
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pp. 1733-1736
2010 ◽
Vol 439-440
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pp. 1123-1128
2013 ◽
Vol 765-767
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pp. 595-599
2015 ◽
Vol 13
(04)
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pp. 1550029
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1973 ◽
Vol 8
(3)
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pp. 359-366
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