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Comparison of the Cross Deleted Wigner Representation and the Matching Pursuit Distribution (Via Adaptive Signal Decomposition)

  • S. Ghofrani
  • D. C. McLernnon
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5099)

Abstract

The cross-deleted Wigner representation (CDWR) suppresses the cross terms present in the Wigner distribution of a multi-component signal by decomposing the Wigner distribution (via the Gabor expansion) into terms that affect the auto- and cross-terms. The Matching Pursuit (MP) distribution is also a time-frequency representation that is devoid of cross terms. In this paper we decompose a signal by both the Gabor expansion and MP. Then the CDWR and the MP distribution are obtained. We then compare and contrast both representations (along with the original Wigner-Ville distribution (WVD)) with respect to (i) concentration/resolution, (ii) noise reduction capabilities and (iii) frequency and time resolvability.

Keywords

Wigner-Ville distribution cross deleted Wigner representation matching pursuit Gabor expansion 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • S. Ghofrani
    • 1
  • D. C. McLernnon
    • 2
  1. 1.Electrical Engineering DepartmentIslamic Azad UniversityTehranIran
  2. 2.School of Electronic and Electrical Engineeringthe University of LeedsLeedsUK

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