Publication [6.7] of Tomás Oliveira e Silva

Reference

Per Bodin, Tomás Oliveira e Silva and Bo Wahlberg, "On the Construction of Orthonormal Basis Functions for System Identification," Preprints of the 13th World Congress of the International Federation of Automatic Control, vol. I, pp. 369-374, 1996.

Abstract

In this paper we present an alternative derivation of orthonormal rational families in H^2, based on previous work by Roberts and Mullis. The construction is based on balanced state space realizations of all-pass transfer functions, and generalizes recent work of Heuberger et al.. The emphasis is put on the simplicity of this approach compared with traditional methods. We also present some historical remarks concerning earlier approaches to this problem, as well as completeness and uniform boundedness conditions for this family of orthonormal functions.

BibTeX entry

@InProceedings
{
  Bodin-1996-3-COBFSI,
  author = {Bodin, Per} # { and } # {Oliveira e Silva, Tom{\'a}s} # { and } #
           {Wahlberg, Bo},
  title = {On the Construction of Orthonormal Basis Functions for System
          Identification},
  booktitle = {Preprints of the 13th World Congress of the International
              Federation of Automatic Control},
  year = {1996},
  volume = {I},
  pages = {369--374},
  address = {San Francisco, USA}
}