Publications

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Corresponding bibtex list 

Egner, Sebastian 

  1. 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
  2. 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

Kovacevic, Jelena 

  1. 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

Moura, José M. F. 

  1. 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
  2. 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
  3. 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

Püschel, Markus 

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. Markus Püschel
    Decomposing Monomial Representations of Solvable Groups
    Journal of Symbolic Computation, Vol. 34, No. 6, pp. 561-596, 2002
  10. 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
  11. 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

Rötteler, Martin 

  1. 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

Sandryhaila, Aliaksei 

  1. 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
  2. Aliaksei Sandryhaila
    Algebraic Signal Processing: Modeling and Subband Analysis
    PhD. thesis, Electrical and Computer Engineering, Carnegie Mellon University, 2010

Voronenko, Yevgen 

  1. 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
  2. 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
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Electrical and Computer Engineering, Carnegie Mellon University, 2007