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Fast algorithms 

2013 

  1. Jörn Schumacher
    High Performance Sparse Fast Fourier Transform
    Master thesis, Computer Science, ETH Zurich, Switzerland, 2013

2010 

  1. Srinivas Chellappa
    Computer Generation of Fourier Transform Libraries for Distributed Memory Architectures
    PhD. thesis, Electrical and Computer Engineering, Carnegie Mellon University, 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
  2. Franz Franchetti, Markus Püschel, Yevgen Voronenko, Srinivas Chellappa and José M. F. Moura
    Discrete Fourier Transform on Multicores: Algorithms and Automatic Implementation
    IEEE Signal Processing Magazine, special issue on ``Signal Processing on Platforms with Multiple Cores'', Vol. 26, No. 6, pp. 90-102, 2009
  3. Franz Franchetti and Markus Püschel
    Generating High-Performance Pruned FFT Implementations
    Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), pp. 549-552, 2009

2008 

  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

2006 

  1. Yevgen Voronenko and Markus Püschel
    Algebraic Derivation of General Radix Cooley-Tukey Algorithms for the Real Discrete Fourier Transform
    Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 3, 2006

2003 

  1. Markus Püschel
    Cooley-Tukey FFT like Algorithms for the DCT
    Proc. International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Vol. 2, pp. 501-504, 2003
  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
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Electrical and Computer Engineering, Carnegie Mellon University, 2007