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

被引：0
|
作者：
Prevysokova, V. N. [1 ]
机构：
[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Str Shevchenka, UA-76018 Ivano Frankivsk, Ukraine
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 02期
关键词：
ALGORITHM;
D O I：
10.15330/cmp.15.2.543-551
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. Key words and phrases: factorization of the matrices, discrete wavelet transform, wavelet system on the Galois functions base.
引用
收藏
页码：543 / 551
页数：9
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