小波分析概述:从信号处理的视角  

An overview of wavelet analysis:From the perspective of signal processing

作　　者：杨力华[1] YANG Lihua(School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China)

机构地区：[1]中山大学数学学院,广东广州510275

出　　处：《中山大学学报（自然科学版）（中英文）》2024年第6期202-223,共22页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(12171488)。

摘　　要：本文从信号处理的视角对20世纪80年代末兴起的小波分析做一个通俗的概述.内容包括小波分析产生的基本问题背景和关键历史事件,小波分析的基本理论,及其对信号处理的意义和作用.希望透过本文能科普性地展示小波的基本理论以及为什么要建立这样的理论.除此以外,笔者还对小波分析之后时频分析领域所出现的经验模型分解方法和图信号处理的基本问题给出简要的介绍.作为中山大学百年校庆的约稿综述,本文对中山大学小波分析研究团队的基本阵容以及历年来所开展的重要学术事件进行了简单的回顾.This paper provides a popular overview of wavelet analysis,which emerged in the late 1980s,from the perspective of signal processing.The content includes the basic problems and key historical events on wavelet analysis,and their significance and role in signal processing.The author hopes this article can provide a scientific demonstration of what wavelet theory is and why it is impor‐tant.In addition,the author also provides a brief introduction to the empirical model decomposition and graph signal processing that emerged in the field of time-frequency analysis after wavelet analysis.As a invited review for the centennial anniversary of Sun Yat-sen University,this article provides a brief review of the basic lineup of the wavelet analysis research team at Sun Yat-sen University and the important academic events carried out over the past years.

关 键 词：小波分析 函数逼近 信号处理 模式识别 

分 类 号：O174.41[理学—数学]