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Transformation Analysis
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0002-1927-1690
2005 (English)In: Modelling and Identification with Rational Orthogonal Basis Functions / [ed] Heuberger, Peter S.C.; Hof, Paul M.J. van den; Wahlberg, Bo, Springer London, 2005, 1, 41-60 p.Chapter in book (Refereed)
Abstract [en]

All results and definitions have now been obtained in order to generalize the Laguerre analysis:We will use the transformation λ-1 = Gb(z), where Gb(z) is all-pass transfer function of order m with an orthogonal state-space realization (A,B,C,D). We have showed that dλ/λ = VT 1 (1/z)V1(z)dz z , V1(z) = (zI - A)-1B. The transformation z = N(1/λ) can be used as an 'inverse' of λ-1 = Gb(z). We will, however, use the transformation z -1 = N(λ) ⇒ z = NT (1/λ) instead of z = N(1/λ). The reason for using this extra transpose is to follow the standard Hambo transform definitions given in Chapter 12.

Place, publisher, year, edition, pages
Springer London, 2005, 1. 41-60 p.
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-57924DOI: 10.1007/1-84628-178-4_3ScopusID: 2-s2.0-84892212092ISBN: 978-1-85233-956-2ISBN: 978-1-84628-178-5OAI: diva2:472685

QC 20120104

Available from: 2012-01-04 Created: 2012-01-04 Last updated: 2014-08-18Bibliographically approved

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