Abstract:
The paper presents a matrix representation of filter banks corresponding to spline wavelets with shifted supports. The matrix form of decomposition and reconstruction filters simplifies the writing of nonuniform nonstationary wavelet transforms built on nonuniform grids on a finite segment. Such a representation of filters is used, for example, in constructing error-correcting codes.
Key words and phrases:$B$-splines, minimal splines, spline wavelets, wavelet transform, filter banks, nonuniform grids.
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