The best formulae for the approximate computation of discrete Fourier transforms (Q1311551)

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scientific article; zbMATH DE number 486835
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The best formulae for the approximate computation of discrete Fourier transforms
scientific article; zbMATH DE number 486835

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    The best formulae for the approximate computation of discrete Fourier transforms (English)
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    3 March 1994
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    Best approximating formulae with bounded \(L_ 2\)-norm of a finite difference of \(r\)th order is given to compute discrete Fourier transforms for complex-valued periodic signals. The mathematical basis of this proposal is on the use of discrete Bernoulli functions.
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    best approximation with \(L_ 2\)-norm
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    discrete Fourier transform
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    periodic signals
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    discrete Bernoulli functions
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