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» Computing Fourier transforms and convolutions of Sn-1-invari...
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APPML
2010
112views more  APPML 2010»
13 years 7 months ago
Computing Fourier transforms and convolutions of Sn-1-invariant signals on Sn in time linear in n
Let Sn denote the symmetric group on {1, . . . , n} and Sn-1 the stabilizer subgroup of n. We derive algorithms for computing Fourier transforms of left and right Sn-1-invariant s...
Michael Clausen, Ramakrishna Kakarala
JCSS
2010
105views more  JCSS 2010»
13 years 5 months ago
Fast convolution and Fast Fourier Transform under interval and fuzzy uncertainty
Convolution y(t) = a(t − s) · x(s) ds is one of the main techniques in digital signal processing. A straightforward computation of the convolution y(t) requires O(n2) steps, wh...
Guoqing Liu, Vladik Kreinovich
STACS
1999
Springer
13 years 11 months ago
Lower Bounds for Dynamic Algebraic Problems
Abstract. We consider dynamic evaluation of algebraic functions (matrix multiplication, determinant, convolution, Fourier transform, etc.) in the model of Reif and Tate; i.e., if f...
Gudmund Skovbjerg Frandsen, Johan P. Hansen, Peter...