Publications

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Corresponding bibtex list 

2008 

Journal 

  1. 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
  2. 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
  3. Yevgen Voronenko and Markus Püschel
    Algebraic Signal Processing Theory: Cooley-Tukey Type Algorithms for Real DFTs
    to appear in IEEE Transactions on Signal Processing, 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. Markus Püschel and José M. F. Moura
    Algebraic Signal Processing Theory: Foundation and 1-D Time
    IEEE Transactions on Signal Processing, Vol. 56, No. 8, pp. 3572-3585, 2008

Book Chapter 

  1. Markus Püschel
    DFT and FFT: An Algebraic View
    in Fast Fourier Transforms, Eds. C. Sidney Burrus, Connexions 2008

Conference (fully reviewed) 

  1. Doru Balcan, Aliaksei Sandryhaila, Jonathan Gross and Markus Püschel
    Alternatives to the Discrete Fourier Transform
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 3537-3540, 2008
  2. Aliaksei Sandryhaila, Jelena Kovacevic and Markus Püschel
    Haar Filter Banks for 1-D Space Signals
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 3505-3508, 2008

2007 

Journal 

  1. Markus Püschel and Martin Rötteler
    Algebraic Signal Processing Theory: 2-D Spatial Hexagonal Lattice
    IEEE Transactions on Image Processing, Vol. 16, No. 6, pp. 1506-1521, 2007

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
  2. 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
  3. Markus Püschel and José M. F. Moura
    The Algebraic Structure in Signal Processing: Time and Space
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 5, 2006

Conference (abstract reviewed) 

  1. Markus Püschel
    Algebraic Signal Processing Theory: An Overview
    Proc. IEEE Digital Signal Processing Workshop, pp. 386-391, 2006

Other 

  1. Markus Püschel and José M. F. Moura
    Algebraic Signal Processing Theory
    http://arxiv.org/abs/cs.IT/0612077, 2006

2005 

Conference (fully reviewed) 

  1. Markus Püschel and Martin Rötteler
    Fourier Transform for the Directed Quincunx Lattice
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 4, pp. 401-404, 2005
  2. Markus Püschel and Martin Rötteler
    Fourier Transform for the Spatial Quincunx Lattice
    Proc. IEEE International Conference on Image Processing (ICIP), Vol. 2, pp. 494-497, 2005
  3. Markus Püschel and Jelena Kovacevic
    Real, Tight Frames Maximally Robust To Erasures
    Proc. Data Compression Conference (DCC), pp. 63-72, 2005

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

Conference (fully reviewed) 

  1. Markus Püschel and Martin Rötteler
    The Discrete Triangle Transform
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 3, pp. 45-48, 2004

Conference (abstract reviewed) 

  1. Markus Püschel and Martin Rötteler
    Cooley-Tukey FFT Like Algorithm for the Discrete Triangle Transform
    Proc. IEEE Digital Signal Processing Workshop, pp. 158-162, 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

Book Chapter 

  1. Markus Püschel, Sebastian Egner and Thomas Beth
    AREP
    in Computer Algebra Handbook, Foundations, Applications, Systems, Eds. J. Grabmeier, E. Kaltofen, V. Weispfenning, pp. 461-462, Springer 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, Jeremy Johnson, David Padua, Markus Püschel and Jianxin Xiong
    Automatic Derivation and Implementation of Signal Processing Algorithms
    ACM SIGSAM Bulletin Communications in Computer Algebra, Vol. 35, No. 2, pp. 1-19, 2001
  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

1999 

Thesis 

  1. Markus Püschel
    Constructive Representation Theory and Fast Discrete Signal Transforms
    PhD. thesis, Computer Science, University of Karlsruhe, 1999, Technical Report Drexel-MCS-1999-1 (Translation of 4)

1998 

Journal 

  1. José M. F. Moura and Marcelo Bruno
    DCT/DST and Gauss-Markov Fields: Conditions for Equivalence
    IEEE Transactions on Signal Processing, Vol. 46, No. 9, pp. 2571-2574, 1998

Thesis 

  1. Markus Püschel
    Konstruktive Darstellungstheorie und Algorithmengenerierung
    PhD. thesis, Computer Science, University of Karlsruhe, 1998, (Translated in 2)

Other 

  1. Sebastian Egner and Markus Püschel
    AREP - A Package for Constructive Representation Theory and Fast Signal Transforms
    GAP share package and manual, 1998

1997 

Thesis 

  1. Sebastian Egner
    Zerlegungstheorie linearer Transformationen mit Symmetrie
    PhD. thesis, Computer Science, University of Karlsruhe, 1997
Publication interface designed and implemented by Patra Pantupat, Aliaksei Sandryhaila, and Markus Püschel
Electrical and Computer Engineering, Carnegie Mellon University, 2007