Signal reconstruction over switching channels: a model matching approach

  • Authors:
  • Shengxiang Jiang;Petros G. Voulgaris

  • Affiliations:
  • Electrical and Computer Engineering, University of California, Santa Barbara, CA;Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL

  • Venue:
  • ICS'08 Proceedings of the 12th WSEAS international conference on Systems
  • Year:
  • 2008

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Abstract

In this paper we consider signal reconstruction over communication network channels that can be modeled as input switching systems. Such systems can be associated with a variety of applications including wireless communication. In particular, we formulate the signal reconstruction 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 or stochastic average performance of this model matching system over all possible switchings with an H2 norm as the performance criterion. This minimization is performed over all stable receivers R in the class of input switching systems. For the particular setup 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 quadratic programs. An approximate solution with any a priori given precision is possible by finite truncation. Also, it is shown that in the cases of arbitrary, partially matched or unmatched switching the optimal receiver R need not depend on the switching sequence and that it can be obtained as a linear time-invariant (LTI) solution to an associated H2 norm optimization.