Publications

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bibtex list 

2011 

Journal 

  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

2010 

Thesis 

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

2009 

Journal 

  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

2008 

Journal 

  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 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 

Conference (fully reviewed) 

  1. 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 

Journal 

  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

2003 

Journal 

  1. 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

Conference (fully reviewed) 

  1. 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

2002 

Journal 

  1. Markus Püschel
    Decomposing Monomial Representations of Solvable Groups
    Journal of Symbolic Computation, Vol. 34, No. 6, pp. 561-596, 2002

Conference (abstract reviewed) 

  1. 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 

Journal 

  1. 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
Publication interface designed and implemented by Patra Pantupat, Aliaksei Sandryhaila, and Markus Püschel
Electrical and Computer Engineering, Carnegie Mellon University, 2007