Encoder and decoder design for signal estimation

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 pr...

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Vydáno v:Proceedings of the 2010 American Control Conference s. 2132 - 2137
Hlavní autoři: Johannesson, E, Rantzer, A, Bernhardsson, B, Ghulchak, A
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.06.2010
Témata:
Additive noise
Communication channels
Communication system control
Decoding
Delay effects
Estimation error
Hydrogen
Information filtering
Information filters
Signal design
ISBN:9781424474264, 1424474264
ISSN:0743-1619
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Abstract 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 H 2 and H 1 norm minimization problem, where the H 2 norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the H 1 norm is induced by the channel noise. The second stage consists of a spectral factorization. The results are illustrated by a numerical example.
AbstractList 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 H 2 and H 1 norm minimization problem, where the H 2 norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the H 1 norm is induced by the channel noise. The second stage consists of a spectral factorization. The results are illustrated by a numerical example.
Author Rantzer, A
Bernhardsson, B
Ghulchak, A
Johannesson, E
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  organization: Autom. Control LTH, Lund Univ., Lund, Sweden
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  givenname: A
  surname: Ghulchak
  fullname: Ghulchak, A
  email: ghulchak@maths.lth.se
  organization: Autom. Control LTH, Lund Univ., Lund, Sweden
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SubjectTerms Additive noise
Communication channels
Communication system control
Decoding
Delay effects
Estimation error
Hydrogen
Information filtering
Information filters
Signal design
Title Encoder and decoder design for signal estimation
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