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Discrete cosine and sine transforms
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2010
- Jelena Kovacevic and Markus Püschel
Algebraic Signal Processing Theory: Sampling for Infinite and Finite 1-D Space
IEEE Transactions on Signal Processing, Vol. 58, No. 1, pp. 242-257, 2010
2008
- Markus Püschel and José M. F. Moura
Algebraic Signal Processing Theory: 1-D Space
IEEE Transactions on Signal Processing, Vol. 56, No. 8, pp. 3586-3599, 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
2006
- Jelena Kovacevic and Markus Püschel
Sampling Theorem Associated with the Discrete Cosine Transform
Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 3, 2006
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 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