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CORR
2008
Springer
112views Education» more  CORR 2008»
13 years 8 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
APPML
2010
112views more  APPML 2010»
13 years 8 months ago
Computing Fourier transforms and convolutions of Sn-1-invariant signals on Sn in time linear in n
Let Sn denote the symmetric group on {1, . . . , n} and Sn-1 the stabilizer subgroup of n. We derive algorithms for computing Fourier transforms of left and right Sn-1-invariant s...
Michael Clausen, Ramakrishna Kakarala
STOC
2006
ACM
244views Algorithms» more  STOC 2006»
14 years 8 months ago
Approximate nearest neighbors and the fast Johnson-Lindenstrauss transform
We introduce a new low-distortion embedding of d 2 into O(log n) p (p = 1, 2), called the Fast-Johnson-LindenstraussTransform. The FJLT is faster than standard random projections ...
Nir Ailon, Bernard Chazelle
PACT
2009
Springer
14 years 3 months ago
Parallel FFT with Eden Skeletons
The notion of Fast Fourier Transformation (FFT) describes a range of efficient algorithms to compute the discrete Fourier transformation, frequency distribution in a signal. FFT pl...
Jost Berthold, Mischa Dieterle, Oleg Lobachev, Rit...
HIPC
2007
Springer
14 years 2 months ago
FFTC: Fastest Fourier Transform for the IBM Cell Broadband Engine
The Fast Fourier Transform (FFT) is of primary importance and a fundamental kernel in many computationally intensive scientific applications. In this paper we investigate its perf...
David A. Bader, Virat Agarwal