A Discrete Algorithm for Complex Frequency-Domain Convolutions
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摘要: 导出了适用于计算机进行计算的复频域卷积的离散算法,应用Durbin拉氏变换数值反演法对复频域卷积结果进行数值反演,可获得时域数值解.将该数值解与解析解进行比较表明,数值解具有较高的精度.Abstract: A discrete algorithm suitable for the computation of complex frequency-domain convolution on computers was derived. The Durbin's numerical inversion of Laplace transforms can be used to figure out the time-domain digital solution of the result of complex frequency-domain convolutions. Compared with the digital solutions and corresponding analytical solutions, it is shown that the digital solutions have high precision.
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Key words:
- complex frequency-domain /
- convolution /
- Laplace transforms /
- numerical inversion
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[1] 奇利安PM.信号、系统与计算机[M].北京:人民邮电出版社,1981. [2] Durbin F.Numerical inversion of Laplace transforms:an efficient improvement to Dubner and Abate's methods[J].The Computer Journal,1974,17(4):371~376. [3] Jones L A.Influence of the mechanical properties of a manipulandu m on human operator dynamics[J].Biol Cybern,1990,62:299~307.
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