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» Multithreaded algorithms for the fast Fourier transform
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ICS
2009
Tsinghua U.
14 years 16 days ago
Computer generation of fast fourier transforms for the cell broadband engine
The Cell BE is a multicore processor with eight vector accelerators (called SPEs) that implement explicit cache management through direct memory access engines. While the Cell has...
Srinivas Chellappa, Franz Franchetti, Markus P&uum...
TSP
2008
178views more  TSP 2008»
13 years 5 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....
CAIP
1999
Springer
145views Image Analysis» more  CAIP 1999»
13 years 10 months ago
Optimized Fast Algorithms for the Quaternionic Fourier Transform
Abstract. In this article, we deal with fast algorithms for the quaternionic Fourier transform (QFT). Our aim is to give a guideline for choosing algorithms in practical cases. Hen...
Michael Felsberg, Gerald Sommer
SIAMNUM
2010
134views more  SIAMNUM 2010»
13 years 15 days ago
Nonequispaced Hyperbolic Cross Fast Fourier Transform
A straightforward discretisation of problems in d spatial dimensions often leads to an exponential growth in the number of degrees of freedom. Thus, even efficient algorithms like ...
Michael Döhler, Stefan Kunis, Daniel Potts

Book
4675views
15 years 3 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