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      • Department of Electrical and Electronics Engineering
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      Cross-term-free time-frequency distribution reconstruction via lifted projections

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      Author(s)
      Deprem, Z.
      Çetin, A. Enis
      Date
      2015-01
      Source Title
      IEEE Transactions on Aerospace and Electronic Systems
      Print ISSN
      0018-9251
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      51
      Issue
      1
      Pages
      479 - 491
      Language
      English
      Type
      Article
      Item Usage Stats
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      227
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      Abstract
      A crucial aspect of time-frequency (TF) analysis is the identification of separate components in a multicomponent signal. The Wigner-Ville distribution is the classical tool for representing such signals, but it suffers from cross-terms. Other methods, which are members of Cohen's class of distributions, also aim to remove the cross-terms by masking the ambiguity function (AF), but they result in reduced resolution. Most practical time-varying signals are in the form of weighted trajectories on the TF plane, and many others are sparse in nature. Therefore, in recent studies the problem is cast as TF distribution reconstruction using a subset of AF domain coefficients and sparsity assumption. Sparsity can be achieved by constraining or minimizing the l(1) norm. In this article, an l(1) minimization approach based on projections onto convex sets is proposed to obtain a high-resolution, cross-term-free TF distribution for a given signal. The new method does not require any parameter adjustment to obtain a solution. Experimental results are presented.
      Keywords
      Fourier - transform
      Wigner distribution
      Signature analysis
      Fault - detection
      Stator current
      Radar
      Algorithm
      Signals
      Representations
      Information
      Permalink
      http://hdl.handle.net/11693/12728
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TAES.2014.140080
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      • Department of Electrical and Electronics Engineering 4012
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