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» Deriving the Fast Fourier Algorithm by Calculation
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ICESS
2004
Springer
14 years 1 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
QCQC
1998
Springer
173views Communications» more  QCQC 1998»
13 years 12 months ago
Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits
The quantum Fourier transform (QFT), a quantum analog of the classical Fourier transform, has been shown to be a powerful tool in developing quantum algorithms. However, in classi...
Amir Fijany, Colin P. Williams
CSDA
2007
105views more  CSDA 2007»
13 years 7 months ago
Calculation of simplicial depth estimators for polynomial regression with applications
A fast algorithm for calculating the simplicial depth of a single parameter vector of a polynomial regression model is derived. Additionally, an algorithm for calculating the para...
R. Wellmann, S. Katina, Ch. H. Müller
CORR
2007
Springer
79views Education» more  CORR 2007»
13 years 7 months ago
Type-II/III DCT/DST algorithms with reduced number of arithmetic operations
We present algorithms for the discrete cosine transform (DCT) and discrete sine transform (DST), of types II and III, that achieve a lower count of real multiplications and additi...
Xuancheng Shao, Steven G. Johnson
CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 7 months ago
Type-IV DCT, DST, and MDCT algorithms with reduced numbers of arithmetic operations
We present algorithms for the type-IV discrete cosine transform (DCT-IV) and discrete sine transform (DST-IV), as well as for the modified discrete cosine transform (MDCT) and it...
Xuancheng Shao, Steven G. Johnson