New algorithms for computing the Discrete Fourier Transform (DFT) spectra along different directions are derived and implemented. For computing the DFT spectrum along any given di...
Marios S. Pattichis, Ruhai Zhou, Balaji Raman 0002
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Abstract--We deal with the problem of efficient and accurate digital computation of the samples of the linear canonical transform (LCT) of a function, from the samples of the origi...
In this paper we present an efficient way of doing image reconstruction using the 2D Discrete Fourier transform (DFT). We exploit the fact that in the frequency domain, informati...
We exhibit a canonical basis of eigenvectors for the discrete Fourier transform (DFT). The transition matrix from the standard basis to defines a novel transform which we call ...