Sparse optimal and suboptimal realizations

  • Michel Gevers
  • Gang Li
Part of the Communications and Control Engineering book series (CCE)


A linear system of order n can be modelled by its transfer function using 2n + 1 parameters. In state space representations, the so-called direct forms, also called canonical forms, such as the controllable and observable forms are also parametrized with 2n + 1 parameters. These forms have the advantage of a simple implementation structure and hence of high computational speed. However, we have seen in our previous chapters, both theoretically and through a range of simulations, that these realizations usually yield poor performance when implemented with FWL coefficients and arithmetics. To overcome this performance degradation, optimal FWL design problems have been formulated and solved. This has been thoroughly studied in the previous chapters.


Pole Sensitivity Balance Realization Optimal Realization Householder Transformation Hessenberg Form 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Michel Gevers
    • 1
  • Gang Li
    • 2
  1. 1.Centre for Systems Engineering and Applied Mechanics (CESAME)Université Catholique de Louvain, Bâtiment EulerLouvain-la-NeuveBelgium
  2. 2.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingapore

Personalised recommendations