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 interval. Such a representation of filters is used, for example, in constructing error-correcting codes. Bibliography: 7 titles.
1. THE SPACE OF COORDINATE SPLINES On an interval [a, b] [subset] [R.sup.1], consider a grid [[DELTA].sup.L] with two supplementary nodes outside of [a, b], [Please download the PDF to [...]