周期离散信号的傅里叶级数分析  

Fourier Serious Analysis of the Cycle Discrete Signal

作　　者：杜建和[1] 杨增芳[1] 颜鸿林[1] 

机构地区：[1]玉溪师范学院信息技术工程学院,云南玉溪653100

出　　处：《玉溪师范学院学报》2011年第8期55-58,共4页Journal of Yuxi Normal University

摘　　要：分析周期连续信号的傅里叶级数,经过推理论证,得到周期离散信号傅里叶级数系数的表达式,通过例题分析引出这一表达式的扩展公式.从此扩展公式得出结论:对于周期离散信号,只需要截取其中任意一个完整周期里的信号时域或频域的信息,其他信息段的时域和频域的信息都可以通过分析获取.An expansion of the expression of Fourier serious coefficient of the cycle discrete signal was obtained through analyzing that of the cycle continuous signal and reasoning.It is concluded from the expansion that： for cycle discrete signals,the information about the time and frequency domains of any information band can be acquired through analyzing the information about the time and frequency domains of signals obtained within a complete cycle.

关 键 词：傅里叶级数 周期离散信号 时域 频域 

分 类 号：TN911.6[电子电信—通信与信息系统]