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Matrix Representation of Filter Banks Corresponding to Spline Wavelets with Shifted Supports

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The paper presents a matrix representation of filter banks corresponding to spline wavelets with shifted supports. The matrix form of the decomposition and reconstruction filters simplifies the representation of nonuniform… Click to show full abstract

The paper presents a matrix representation of filter banks corresponding to spline wavelets with shifted supports. The matrix form of the decomposition and reconstruction filters simplifies the representation of nonuniform nonstationary wavelet transforms built on nonuniform grids on a finite interval. Such a representation of filters is used, for example, in constructing error-correcting codes.

Keywords: representation; corresponding spline; banks corresponding; filter banks; representation filter; matrix representation

Journal Title: Journal of Mathematical Sciences
Year Published: 2021

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