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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 3 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 5 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 5 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»
16 years 2 days 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 11 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