傅里叶级数的起源、发展与启示  

Enlightenment of the Birth and Development of Fourier Series

作　　者：邓新蒲[1] 吴京[1] 

机构地区：[1]国防科技大学电子科学与工程学院,湖南长沙410073

出　　处：《电气电子教学学报》2012年第5期1-4,共4页Journal of Electrical and Electronic Education

基　　金：国防科技大学"十一五"教育教学研究课题(U2009114)

摘　　要：傅里叶级数是信号处理理论的基石。本文简述傅里叶级数的历史起源,总结傅里叶级数收敛性、Hilbert空间表述以及广义傅里叶级数等傅里叶级数基本理论的发展,以及带给我们的启示。期望本文对"信号与系统"及"信号处理"等相关课程的教学有参考价值。Fourier series is the foundation of signal processing theory.In this paper,we present historical background of the birth of Fourier series,summarize the development of the basic theory of Fourier series,It includes the convergence properties of the series,the formalization of the series in Hilbert space,and the generalized Fourier series.Then we introduce the enlightenment which the birth and development of Fourier series bring to us.We hope this paper could be helpful to the teaching and study in Signals and Systems and Signal Processing.

关 键 词：傅里叶级数 信号处理 信号与系统 

分 类 号：TN911.6[电子电信—通信与信息系统]