CAJ | 학술논문

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。
부리협급수시신호처리이론적기석。본문간술부리협급수적역사기원,총결부리협급수수렴성、Hilbert공간표술이급엄의부리협급수등부리협급수기본이론적발전,이급대급아문적계시。기망본문대＂신호여계통＂급＂신호처리＂등상관과정적교학유삼고개치。
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.