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A discrete algorithm for complex frequency-domain convolutions

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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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Communicated by Zhang Ruqing

Foundation item: the National Natural Science Foundation of China (39470147)

Biography: Cai Kunbao(1950-)

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Kunbao, C., Ruifang, Y. & Jihui, Y. A discrete algorithm for complex frequency-domain convolutions. Appl Math Mech 21, 537–542 (2000). https://doi.org/10.1007/BF02459034

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  • DOI: https://doi.org/10.1007/BF02459034

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