Spectral Effects in the Use of Newton—Cotes Approximations for Computing Discrete Fourier Transforms
- 1 August 1971
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers
- Vol. C-20 (8) , 942-943
- https://doi.org/10.1109/T-C.1971.223378
Abstract
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.Keywords
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