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» A Fast Program Generator of Fast Fourier Transforms
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FP
1989
124views Formal Methods» more  FP 1989»
15 years 1 months ago
Deriving the Fast Fourier Algorithm by Calculation
This paper reports an explanation of an intricate algorithm in the terms of a potentially mechanisable rigorous-development method. It uses notations and techniques of Sheeran 1] ...
Geraint Jones
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
15 years 3 months ago
The truncated fourier transform and applications
In this paper, we present a truncated version of the classical Fast Fourier Transform. When applied to polynomial multiplication, this algorithm has the nice property of eliminati...
Joris van der Hoeven
ICESS
2004
Springer
15 years 3 months ago
Relating FFTW and Split-Radix
Recent work showed that staging and abstract interpretation can be used to derive correct families of combinatorial circuits, and illustrated this technique with an in-depth analys...
Oleg Kiselyov, Walid Taha
STOC
2006
ACM
244views Algorithms» more  STOC 2006»
15 years 10 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
RAS
2006
105views more  RAS 2006»
14 years 9 months ago
Efficient visual homing based on Fourier transformed panoramic images
We present a fast and efficient homing algorithm based on Fourier transformed panoramic images. By continuously comparing Fourier coefficients calculated from the current view wit...
Wolfgang Stürzl, Hanspeter A. Mallot