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Spectral Effects in the Use of Newton?Cotes Approximations for Computing Discrete Fourier Transforms
August 1971 (vol. 20 no. 8)
pp. 942-943
B.R. Hunt, Univ. Calif. Los Alamos Sci. Lab.
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.
Index Terms:
Aliasing of spectra, discrete Fourier transforms, Fourier, integral, Newton?Cotes quadrature formulas.
Citation:
B.R. Hunt, "Spectral Effects in the Use of Newton?Cotes Approximations for Computing Discrete Fourier Transforms," IEEE Transactions on Computers, vol. 20, no. 8, pp. 942-943, Aug. 1971, doi:10.1109/T-C.1971.223378
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