Factorization of the matrices of discrete wavelet transform on the Galois functions base

Authors

  • N.V. Prevysokova Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
https://doi.org/10.15330/cmp.15.2.543-551

Keywords:

factorization of the matrices, discrete wavelet transform, wavelet system on the Galois functions base
Published online: 2023-12-25

Abstract

The paper deals with the factorization of the matrices of discrete wavelet transform based on the Galois functions of different orders. It is used the known method of factorization of the matrices of the discrete Haar transform. Factorized matrices of transforms are presented in the form of a product of sparse matrices. This representation is the basis for building fast transforms algorithms.

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How to Cite
(1)
Prevysokova, N. Factorization of the Matrices of Discrete Wavelet Transform on the Galois Functions Base. Carpathian Math. Publ. 2023, 15, 543-551.