广义变异递减小波简述

IF 1.4 4区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Iranian Journal of Science and Technology, Transactions A: Science Pub Date : 2024-07-27 DOI:10.1007/s40995-024-01689-7

A. M. Jarrah, Nikhil Khanna, A. Zothansanga, Dilip Kumar

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引用次数: 0

摘要

帕塔克（2011 年）利用勋伯格的卷积型变异递减积分算子概念，介绍了变异递减小波和特定符号变化的小波。本文基于哈特里核和博厄斯变换，介绍了一些广义的变异递减小波。特别是，我们引入了具有特定符号变化的小波和基于 Tanno 卷积核形式的小波。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Short Note on Generalized Variation Diminishing Wavelets

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A Short Note on Generalized Variation Diminishing Wavelets

Pathak (2011) introduced variation diminishing wavelets and wavelets of specified changes in sign by utilising Schoenberg’s notion of variation-diminishing integral operators of convolution type. In this paper, we introduce some generalized variation diminishing wavelets based on the Hartley kernel and the Boas transforms. In particular, we introduce wavelets with specific changes of sign and wavelets based on Tanno’s form of convolution kernels.

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来源期刊

Iranian Journal of Science and Technology, Transactions A: Science MULTIDISCIPLINARY SCIENCES-

CiteScore

4.00

自引率

5.90%

发文量

122

审稿时长

>12 weeks

期刊介绍： The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences