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1. Computing Fourier transforms and convolutions of -invariant signals on in time linear in

Author

Clausen, Michael and Kakarala, Ramakrishna

Subjects
*FOURIER transforms, *MATHEMATICAL convolutions, *INVARIANTS (Mathematics), *MATHEMATICAL symmetry, *GROUP theory, *ALGORITHMS
Abstract

Abstract: Let denote the symmetric group on and the stabilizer subgroup of . We derive algorithms for computing Fourier transforms of left and right -invariant signals that require a total of additions and scalar multiplications. Furthermore we show that the convolution of such signals can also be computed in time linear in . [Copyright &y& Elsevier]

Published
2010
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