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      • Department of Electrical and Electronics Engineering
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      Signal denoising by piecewise continuous polynomial fitting

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      Author
      Yıldız, Aykut
      Arıkan, Orhan
      Date
      2010
      Source Title
      2010 IEEE 18th Signal Processing and Communications Applications Conference
      Publisher
      IEEE
      Pages
      69 - 72
      Language
      Turkish
      Type
      Conference Paper
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      Abstract
      Piecewise smooth signal denoising is cast as a non-linear optimization problem in terms of transition boundaries and a parametric smooth signal family. Optimal transition boundaries for a given number of transitions are obtained by using particle swarm optimization. The piecewise smooth section parameters are obtained as the maximum likelihood estimates conditioned on the optimal transition boundaries. The proposed algorithm is extended to the case where the number of transition boundaries are unknown by sequentially increasing number of sections until the residual error is at the level of noise standard deviation. Performance comparison with the state of the art techniques reveals the important advantages of the proposed technique. ©2010 IEEE.
      Keywords
      Maximum likelihood estimate
      Non-linear optimization problems
      Optimal transition
      Performance comparison
      Piecewise smooth
      Piecewise-continuous
      Polynomial fittings
      Residual error
      Signal denoising
      Standard deviation
      State of the art
      Transition boundaries
      Algorithms
      Maximum likelihood estimation
      Noise pollution control
      Particle swarm optimization (PSO)
      Signal processing
      Permalink
      http://hdl.handle.net/11693/28432
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/SIU.2010.5651446
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      • Department of Electrical and Electronics Engineering 3624
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