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» On the diagonalization of the discrete Fourier transform
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CPHYSICS
2006
103views more  CPHYSICS 2006»
13 years 7 months ago
WATERWAVES: wave particles dynamics on a complex triatomic potential
The WATERWAVES program suite performs complex scattering calculations by propagating a wave packet in a complex, full-dimensional potential for non-rotating (J = 0) but vibrating ...
Simone Taioli, Jonathan Tennyson
TSP
2010
13 years 2 months ago
Algebraic signal processing theory: sampling for infinite and finite 1-D space
We derive a signal processing framework, called space signal processing, that parallels time signal processing. As such, it comes in four versions (continuous/discrete, infinite/fi...
Jelena Kovacevic, Markus Püschel
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
AMAST
2008
Springer
13 years 9 months ago
System Demonstration of Spiral: Generator for High-Performance Linear Transform Libraries
We demonstrate Spiral, a domain-specific library generation system. Spiral generates high performance source code for linear transforms (such as the discrete Fourier transform and ...
Yevgen Voronenko, Franz Franchetti, Fréd&ea...
ARITH
2007
IEEE
14 years 1 months ago
Spectral Modular Exponentiation
We describe a new method to perform the modular exponentiation operation, i.e., the computation of c = me mod n, where c, m, e and n are large integers. The new method uses the di...
Gökay Saldamli, Çetin Kaya Koç