Method for finding optimal exponential decay coefficient in numerical Laplace transform for application to linear convolution
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- 作者：Jean-Michel Attendu jean-michel.attendu@polymtl.ca" class="auth_mail" title="E-mail the corresponding author ; Annie Ross annie.ross@polymtl.ca" class="auth_mail" title="E-mail the corresponding author
- 关键词：NLT ; numerical Laplace transform ; GDFT ; generalized discrete Fourier transform ; DTFT ; discrete-time Fourier transform ; FFT ; fast Fourier transform ; DFT ; discrete Fourier transform
- 刊名：Signal Processing
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：130
- 期：Complete
- 页码：47-56
- 全文大小：685 K
文摘
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The NLT is used for the calculation of the full linear convolution.
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The computational advantages are investigated for such calculation.
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A formula for optimizing the decay coefficient of the NLT is proposed.
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The coefficient is a trade-off value between wrap-around and Gibbs errors.
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Relative errors with the proposed coefficients are in the order of 10e−6 to 10e−9.