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几种常见信号波形的逆变换计算(Ⅰ) 矩形脉冲与奇偶对称方波的逆变换 被引量:11

Computing the Inverse Transform of Some Common Signal Waveforms (Ⅰ) The Inverse Transform of Rectangular Pulse and Square Wave with Even Odd Symmetry
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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
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参考文献14

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二级参考文献4

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