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 :
Aliasing of spectra, discrete Fourier transforms, Fourier, integral, Newton–Cotes quadrature formulas.; Convolution; Discrete Fourier transforms; Integral equations; Sampling methods; Aliasing of spectra, discrete Fourier transforms, Fourier, integral, Newton–Cotes quadrature formulas.;
