On optimal signal reconstruction over switching networks

Shengxiang Jiang, Petros G. Voulgaris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we consider signal reconstruction over networks where the communication channel can be modeled as an input switching system (e.g., wireless communication). In particular, we formulate the design problem as a prototypical model matching problem where the various mappings involved belong to a class of input switching systems. The design interest is placed on minimizing the worst case performance of this model matching system over all possible switchings with either ℓ1-induced norm or ℋ2 norm as the performance criterion. This minimization is performed over all stable receivers Q in the class of input switching systems. For the particular set-up at hand and in the case of matched switching, two convergent sequences to the optimal solution from above and below respectively are formulated in terms of linear programs and quadratic programs respectively for the ℓ1-induced and ℋ2 norm optimizations. An approximate solution with any given precision is possible by finite truncation. Also, it is shown that the optimal receiver Q need not depend on the switching sequence in the cases of partially matched switching and unmatched switching, and that it can be obtained as a linear time-invariant (LTI) solution to an associated ℓ1-induced or ℋ2 norm optimization.

Original languageEnglish (US)
Title of host publication2008 American Control Conference, ACC
Pages2613-2618
Number of pages6
DOIs
StatePublished - Sep 30 2008
Event2008 American Control Conference, ACC - Seattle, WA, United States
Duration: Jun 11 2008Jun 13 2008

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2008 American Control Conference, ACC
CountryUnited States
CitySeattle, WA
Period6/11/086/13/08

Keywords

  • Signal reconstruction
  • Worst case switching
  • ℋ optimal
  • ℓ-induced optimality

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Jiang, S., & Voulgaris, P. G. (2008). On optimal signal reconstruction over switching networks. In 2008 American Control Conference, ACC (pp. 2613-2618). [4586886] (Proceedings of the American Control Conference). https://doi.org/10.1109/ACC.2008.4586886