伽罗瓦函数基上离散小波变换矩阵的因式分解

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2023-12-25 DOI:10.15330/cmp.15.2.543-551

N. Prevysokova

{"title":"伽罗瓦函数基上离散小波变换矩阵的因式分解","authors":"N. Prevysokova","doi":"10.15330/cmp.15.2.543-551","DOIUrl":null,"url":null,"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.","PeriodicalId":42912,"journal":{"name":"Carpathian Mathematical Publications","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Factorization of the matrices of discrete wavelet transform on the Galois functions base\",\"authors\":\"N. Prevysokova\",\"doi\":\"10.15330/cmp.15.2.543-551\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":42912,\"journal\":{\"name\":\"Carpathian Mathematical Publications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-12-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Carpathian Mathematical Publications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15330/cmp.15.2.543-551\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Carpathian Mathematical Publications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15330/cmp.15.2.543-551","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文论述了基于不同阶的伽罗瓦函数的离散小波变换矩阵的因式分解。它使用了已知的离散哈尔变换矩阵因式分解方法。因式分解的变换矩阵以稀疏矩阵乘积的形式呈现。这种表示方法是建立快速变换算法的基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks