Encoder and Decoder Design for Signal Estimation

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In this paper, we study the joint design of optimal linear encoders and decoders for filtering and transmission of a signal over an additive Gaussian noise channel subject to a real-time constraint. The objective is to minimize the variance of the estimation error at the receiving end. The design problem is nonconvex, but it is shown that a global optimum can be found by solving a related two-stage problem. The first stage consists of a mixed H2 and H1 norm minimization problem, where the H2 norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the H1 norm is induced by the channel noise. The second stage consists of a spectral factorization. The results are illustrated by a numerical example.
Original languageEnglish
Publication statusPublished - 2010
EventAmerican Control Conference, 2010 - Baltimore, MD, Baltimore, MD, United States
Duration: 2010 Jun 302010 Jul 2


ConferenceAmerican Control Conference, 2010
Country/TerritoryUnited States
CityBaltimore, MD

Subject classification (UKÄ)

  • Control Engineering


  • real-time coding
  • networked control
  • signal estimation
  • gaussian channel


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