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Lossless Cascade Factorizations

  • Patrick Dewilde
  • Alle-Jan van der Veen
Chapter

Abstract

In chapter 12, we showed how a contractive u.e. stabletransfer operator T can be embedded into an inner operator Σ. We now derive minimal structural factorizations of locally finite inner transfer operators into elementary inner operators of degree one. The resulting lossless cascade networks provide a canonical realization of T into a network of minimal degree and with a minimal number of coefficients. For a better understanding of the problem, we first review some aspects of cascade factorizations for time-invariant systems.

Keywords

Transfer Operator Local Degree Filter Structure Elementary Section Unitary Realization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Patrick Dewilde
    • 1
  • Alle-Jan van der Veen
    • 1
  1. 1.DIMESDelft University of TechnologyDelftThe Netherlands

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