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» Fast computation of general Fourier Transforms on GPUS
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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....
CPHYSICS
2010
195views more  CPHYSICS 2010»
13 years 5 months ago
Fast spherical Bessel transform via fast Fourier transform and recurrence formula
We propose a new method for the numerical evaluation of the spherical Bessel transform. A formula is derived for the transform by using an integral representation of the spherical...
Masayuki Toyoda, Taisuke Ozaki
STOC
2012
ACM
192views Algorithms» more  STOC 2012»
11 years 7 months ago
Nearly optimal sparse fourier transform
We consider the problem of computing the k-sparse approximation to the discrete Fourier transform of an ndimensional signal. We show: • An O(k log n)-time randomized algorithm f...
Haitham Hassanieh, Piotr Indyk, Dina Katabi, Eric ...
SIAMSC
2010
159views more  SIAMSC 2010»
12 years 11 months ago
The Fast Generalized Gauss Transform
The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in O(N + M) time. Here, we extend the algorithm to a wider class of kernels, motivated by ...
Marina Spivak, Shravan K. Veerapaneni, Leslie Gree...
APCCAS
2006
IEEE
261views Hardware» more  APCCAS 2006»
13 years 7 months ago
A Grouped Fast Fourier Transform Algorithm Design For Selective Transformed Outputs
- In this paper, the grouped scheme is specially applied to compute the fast Fourier transform (FFT) when the portions of transformed outputs are calculated selectively. The groupe...
Chih-Peng Fan, Guo-An Su