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Spectral Effects in the Use of Newton—Cotes Approximations for Computing Discrete Fourier Transforms

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1 Author(s)

It is possible to view the discrete Fourier transform as the result of approximating the Fourier integral by a trapezoidal rule integration formula. In this correspondence the effects of using higher ordered Newton–Cotes integration formulas are examined. It is shown that in computing the spectrum of a bandlimited process, the trapezoidal rule is preferred when judged by the criterion of choosing the integration formula which leads to the coarsest sampling of the data.

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Computers, IEEE Transactions on  (Volume:C-20 ,  Issue: 8 )