Method for finding optimal exponential decay coefficient in numerical Laplace transform for application to linear convolution

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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

•: The NLT is used for the calculation of the full linear convolution.
•: The computational advantages are investigated for such calculation.
•: A formula for optimizing the decay coefficient of the NLT is proposed.
•: The coefficient is a trade-off value between wrap-around and Gibbs errors.
•: Relative errors with the proposed coefficients are in the order of 10e−6 to 10e−9.

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