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首页> 外文期刊>IEE proceedings. Part G, Circuits, devices and systems >Accuracy improvement of the FFT-based numerical inversion of Laplace transforms
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Accuracy improvement of the FFT-based numerical inversion of Laplace transforms

机译:拉普拉斯变换基于FFT的数值反演的精度提高

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摘要

The authors present an improvement on the FFT-based numerical inversion of Laplace transforms. Since inversions obtained by the FFT-based method contain large errors, especially for the latter half of the computed region, only the former half is acceptable. The truncation error, which is the greater part of the errors, is analysed and an acceleration method is proposed that uses a property of the complex frequency variable s. This acts as the differential operator in the time domain. The errors are significantly reduced by the proposed method, and thus the inversions become acceptable for almost the entire region
机译:作者对基于Laplace变换的基于FFT的数值反演提出了一种改进。由于通过基于FFT的方法获得的反演包含较大的误差,尤其是对于计算区域的后一半,因此仅前一半是可以接受的。分析了截断误差,该误差是误差的较大部分,并提出了一种利用复数频率变量s的性质的加速方法。这在时域中充当微分运算符。所提出的方法大大减少了误差,因此反演对于几乎整个区域都可以接受

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