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MIMO Encoder and Decoder Design for Signal Estimation

Johannesson, Erik LU ; Ghulchak, Andrey LU ; Rantzer, Anders LU orcid and Bernhardsson, Bo LU orcid (2010) 19th International Symposium on Mathematical Theory of Networks and Systems, 2010
Abstract
We study the joint design of optimal linear MIMO encoders and decoders for filtering and transmission of a vector- valued signal over parallel Gaussian channels subject to a real- time constraint. The objective is to minimize the sum of the estimation error variances 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 norm minimization problem, where the 2-norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the 1-norm is induced by the channel noise. The second stage consists of a matrix spectral factorization.
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author
; ; and
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
real-time coding, signal estimation, networked control, gaussian channel
conference name
19th International Symposium on Mathematical Theory of Networks and Systems, 2010
conference location
Budapest, Hungary
conference dates
2010-07-05 - 2010-07-09
language
English
LU publication?
yes
id
c2f60e11-38d2-4599-b659-c3b62bead82d (old id 1759154)
date added to LUP
2016-04-04 14:20:26
date last changed
2018-11-21 21:19:45
@misc{c2f60e11-38d2-4599-b659-c3b62bead82d,
  abstract     = {{We study the joint design of optimal linear MIMO encoders and decoders for filtering and transmission of a vector- valued signal over parallel Gaussian channels subject to a real- time constraint. The objective is to minimize the sum of the estimation error variances 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 norm minimization problem, where the 2-norm corresponds to the error variance in a corresponding Wiener-Kolmogorov filtering problem and the 1-norm is induced by the channel noise. The second stage consists of a matrix spectral factorization.}},
  author       = {{Johannesson, Erik and Ghulchak, Andrey and Rantzer, Anders and Bernhardsson, Bo}},
  keywords     = {{real-time coding; signal estimation; networked control; gaussian channel}},
  language     = {{eng}},
  title        = {{MIMO Encoder and Decoder Design for Signal Estimation}},
  url          = {{https://lup.lub.lu.se/search/files/6337690/8170247.pdf}},
  year         = {{2010}},
}