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ICIP
2001
IEEE
14 years 5 months ago
New algorithms for computing directional discrete Fourier transforms
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

Book
4675views
15 years 1 months ago
Mathematics of The Discrete Fourier Transform (DFT) with Audio Applications
"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 ...
Julius O. Smith III
TSP
2008
178views more  TSP 2008»
13 years 4 months ago
Digital Computation of Linear Canonical Transforms
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...
A. Koc, Haldun M. Özaktas, Cagatay Candan, M....
SIPS
2008
IEEE
13 years 10 months ago
Efficient image reconstruction using partial 2D Fourier transform
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...
Lanping Deng, Chi-Li Yu, Chaitali Chakrabarti, Jun...
CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 4 months ago
The discrete Fourier transform: A canonical basis of eigenfunctions
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 ...
Shamgar Gurevich, Ronny Hadani, Nir A. Sochen