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Fast algorithms
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- Jörn Schumacher
High Performance Sparse Fast Fourier Transform
Master thesis, Computer Science, ETH Zurich, Switzerland, 2013
- Srinivas Chellappa
Computer Generation of Fourier Transform Libraries for Distributed Memory Architectures
PhD. thesis, Electrical and Computer Engineering, Carnegie Mellon University, 2010
- Yevgen Voronenko and Markus Püschel
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Real DFTs
IEEE Transactions on Signal Processing, Vol. 57, No. 1, pp. 205-222, 2009
- Franz Franchetti, Markus Püschel, Yevgen Voronenko, Srinivas Chellappa and José M. F. Moura
Discrete Fourier Transform on Multicores: Algorithms and Automatic Implementation
IEEE Signal Processing Magazine, special issue on ``Signal Processing on Platforms with Multiple Cores'', Vol. 26, No. 6, pp. 90-102, 2009
- Franz Franchetti and Markus Püschel
Generating High-Performance Pruned FFT Implementations
Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 549-552, 2009
- Markus Püschel and José M. F. Moura
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for DCTs and DSTs
IEEE Transactions on Signal Processing, Vol. 56, No. 4, pp. 1502-1521, 2008
- Yevgen Voronenko and Markus Püschel
Algebraic Derivation of General Radix Cooley-Tukey Algorithms for the Real Discrete Fourier Transform
Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 3, 2006
- Markus Püschel
Cooley-Tukey FFT like Algorithms for the DCT
Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 2, pp. 501-504, 2003
- Markus Püschel and José M. F. Moura
The Algebraic Approach to the Discrete Cosine and Sine Transforms and their Fast Algorithms
SIAM Journal of Computing, Vol. 32, No. 5, pp. 1280-1316, 2003