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Parameterizations of Masks for Tight Affine Frames with Two Symmetric/Antisymmetric Generators

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Abstract

Parameterizations of FIR orthogonal systems are of fundamental importance to the design of filters with desired properties. By constructing paraunitary matrices, one can construct tight affine frames. In this paper we discuss parameterizations of paraunitary matrices which generate tight affine frames with two symmetric/antisymmetric generators (framelets). Based on the parameterizations, several symmetric/antisymmetric framelets are constructed.

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Author notes

  1. Qingtang Jiang

    Present address: Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, MO, 63121, USA

Authors and Affiliations

  1. Department of Mathematics, West Virginia University, Morgantown, WV, 26506, USA

    Qingtang Jiang

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  1. Qingtang Jiang
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Jiang, Q. Parameterizations of Masks for Tight Affine Frames with Two Symmetric/Antisymmetric Generators. Advances in Computational Mathematics 18, 247–268 (2003). https://doi.org/10.1023/A:1021339707805

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  • DOI: https://doi.org/10.1023/A:1021339707805

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