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Parameterizations of masks for tight affine frames with two symmetric/antisymmetric generators. (English) Zbl 1020.42020

Parameterizations of masks are important for the design of filters with desired properties. By constructing paraunitary matrices, one can obtain tight affine frames. In this paper, the author discusses parameterizations of paraunitary matrices which generate tight frames with two symmetric/antisymmetric generators (framelets). Based on these parameterizations, several symmetric/antisymmetric framelets are constructed.

MSC:

42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
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