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Encoder and Decoder Design for Signal Estimation

Johannesson, Erik LU ; Rantzer, Anders LU ; Bernhardsson, Bo LU and Ghulchak, Andrey LU (2010) American Control Conference, 2010 p.2132-2137
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 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.
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author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
real-time coding, networked control, signal estimation, gaussian channel
pages
2132 - 2137
conference name
American Control Conference, 2010
external identifiers
  • WOS:000287187902087
  • Scopus:77957780957
language
English
LU publication?
yes
id
c1fb8cc8-989f-4f65-9c33-6d21bc9398ac (old id 1750598)
alternative location
http://www.control.lth.se/database/publications/article.pike?artkey=joh10acc
date added to LUP
2010-12-28 09:15:59
date last changed
2016-10-13 04:55:47
@misc{c1fb8cc8-989f-4f65-9c33-6d21bc9398ac,
  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 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.},
  author       = {Johannesson, Erik and Rantzer, Anders and Bernhardsson, Bo and Ghulchak, Andrey},
  keyword      = {real-time coding,networked control,signal estimation,gaussian channel},
  language     = {eng},
  pages        = {2132--2137},
  title        = {Encoder and Decoder Design for Signal Estimation},
  year         = {2010},
}