Publications

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Corresponding bibtex list 

Journal 

2012 

  1. Aliaksei Sandryhaila, Jelena Kovacevic and Markus Püschel
    Algebraic Signal Processing Theory: 1-D Nearest-Neighbor Models
    IEEE Transactions on Signal Processing, Vol. 60, No. 5, pp. 2247-2259, 2012
  2. Aliaksei Sandryhaila, Samir Saba, Markus Püschel and Jelena Kovacevic
    Efficient compression of QRS complexes using Hermite expansion
    IEEE Transactions on Signal Processing, Vol. 60, No. 2, pp. 947-955, 2012

2011 

  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 

  1. 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
  2. Aliaksei Sandryhaila, Amina Chebira, Christina Milo, Jelena Kovacevic and Markus Püschel
    Systematic Construction of Real Lapped Tight Frame Transforms
    IEEE Transactions on Signal Processing, Vol. 58, No. 5, pp. 2556-2567, 2010

2009 

  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 

  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. 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
  4. 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

2007 

  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

2004 

  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 

  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

2002 

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

2001 

  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

1998 

  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

Book Chapter 

2008 

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

2002 

  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 (fully reviewed) 

2011 

  1. Aliaksei Sandryhaila, Jelena Kovacevic and Markus Püschel
    Compression of QRS Complexes Using Hermite Expansion
    Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 581-584, 2011

2009 

  1. Aliaksei Sandryhaila, Amina Chebira, Markus Püschel and Jelena Kovacevic
    A New Class of Seeded Real Lapped Tight Frame Transforms
    Proc. SPIE Conf. on Wavelet Applications in Signal and Image Processing, Proceedings of SPIE, Vol. 7446, pp. 74460M-74460M-8, 2009

2008 

  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

2006 

  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

2005 

  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 

  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

2003 

  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

Conference (abstract reviewed) 

2006 

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

2004 

  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

2002 

  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

Thesis 

2010 

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

1999 

  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 

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

1997 

  1. Sebastian Egner
    Zerlegungstheorie linearer Transformationen mit Symmetrie
    PhD. thesis, Computer Science, University of Karlsruhe, 1997

Other 

2006 

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

1998 

  1. Sebastian Egner and Markus Püschel
    AREP - A Package for Constructive Representation Theory and Fast Signal Transforms
    GAP share package and manual, 1998
Publication interface designed and implemented by Patra Pantupat, Aliaksei Sandryhaila, and Markus Püschel
Electrical and Computer Engineering, Carnegie Mellon University, 2007