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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1750598
- author
- Johannesson, Erik
LU
; Rantzer, Anders
LU
; Bernhardsson, Bo
LU
and Ghulchak, Andrey
LU
- organization
- publishing date
- 2010
- 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
- conference location
- Baltimore, MD, United States
- conference dates
- 2010-06-30 - 2010-07-02
- 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
- 2016-04-04 13:31:54
- date last changed
- 2023-09-06 17:13:22
@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}},
keywords = {{real-time coding; networked control; signal estimation; gaussian channel}},
language = {{eng}},
pages = {{2132--2137}},
title = {{Encoder and Decoder Design for Signal Estimation}},
url = {{https://lup.lub.lu.se/search/files/6142890/8170252.pdf}},
year = {{2010}},
}