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Theory of transform algorithms
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2011
- Aliaksei Sandryhaila, Jelena Kovacevic and Markus Püschel
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Polynomial Transforms Based on Induction
SIAM Journal on Matrix Analysis and Applications, Vol. 32, No. 2, pp. 364-384, 2011
2010
- Aliaksei Sandryhaila
Algebraic Signal Processing: Modeling and Subband Analysis
PhD. thesis, Electrical and Computer Engineering, Carnegie Mellon University, 2010
2009
- 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
2008
- 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
- Markus Püschel and Martin Rötteler
Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms on the 2-D Spatial Hexagonal Lattice
Applicable Algebra in Engineering, Communication and Computing, special issue on "The memory of Thomas Beth", Vol. 19, No. 3, pp. 259-292, 2008
2006
- Yevgen Voronenko and Markus Püschel
Algebraic Derivation of General Radix Cooley-Tukey Algorithms for the Real Discrete Fourier Transform
Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 3, pp. 876-879, 2006
2004
- Sebastian Egner and Markus Püschel
Symmetry-Based Matrix Factorization
Journal of Symbolic Computation, special issue on "Computer Algebra and Signal Processing", Vol. 37, No. 2, pp. 157-186, 2004
2003
- Markus Püschel
Cooley-Tukey FFT like Algorithms for the DCT
Proc. IEEE 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
2002
- Markus Püschel
Decomposing Monomial Representations of Solvable Groups
Journal of Symbolic Computation, Vol. 34, No. 6, pp. 561-596, 2002
- Markus Püschel and José M. F. Moura
The Discrete Trigonometric Transforms and Their Fast Algorithms: An Algebraic Symmetry Approach
Proc. IEEE Digital Signal Processing Workshop, pp. 268-273, 2002
2001
- Sebastian Egner and Markus Püschel
Automatic Generation of Fast Discrete Signal Transforms
IEEE Transactions on Signal Processing, Vol. 49, No. 9, pp. 1992-2002, 2001