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

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 interv...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-06, Vol.255 (3), p.315-323
Main Authors: Kosogorov, O. M., Makarov, A. A., Makarova, S. V.
Format: Article
Language:English
Subjects:
Banks (Finance)
Electromagnetic wave filters
Error correcting codes
Error correction
Filter banks
Mathematics
Mathematics and Statistics
Matrix representation
Wavelet transforms
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05374-7