The Fourier transform and the discrete Fourier transform
Copyright policy )The Fourier transform and the discrete Fourier transform
This paper gives an error bound in computing the Fourier transform for a square summable function by means of the discrete Fourier transform. In detail description, the error bound depends on the number of samples, the interval where the samples are taken, the interval where the Fourier transform is being approximated, the local averaging in the time, and the frequency domain.
- King’s University United States
discrete Fourier transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, error bound, Fourier transform, Numerical methods for trigonometric approximation and interpolation, Numerical methods for integral transforms, Nyquist-Shannon hyperbola
discrete Fourier transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, error bound, Fourier transform, Numerical methods for trigonometric approximation and interpolation, Numerical methods for integral transforms, Nyquist-Shannon hyperbola
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