摘要
应用Mobius变换对 3种常用数字信号的付立叶级数进行逆变换运算 ,得到正、余弦函数及一般周期信号的数字信号展开 .求得在非正交数字信号基函数上的展开系数 ,以及与展开基函数族相正交的非正交函数族 .
The inverse transform of Fourier series of three digital signals in common use is operated by applying Moebius transformation. As its results, the authors obtain the expansions of sine, cosiue and their general periodic signals into these digital signals,and solve the expansion coefficient on base function of non orthogonal digital signal, and solve also the non orthogonal function family which are perpendicular to the expanding base function family.
出处
《华侨大学学报(自然科学版)》
CAS
北大核心
2005年第1期80-84,共5页
Journal of Huaqiao University(Natural Science)
基金
国务院侨务办公室科研基金资助项目 (0 4QZR1 0 )
关键词
MOBIUS变换
付立叶级数逆变换
周期信号的数字信号展开
相互正交的非正交函数族
展开系数
Moebius (Mbius) transformation, inverse transform of Fourier series, expansion of periodic signals into digital signals, non-orthogonal function family, expansion coefficient