Koeppl, H. ; Josan, A. S. ; Paoli, G. ; Kubin, G. (2004)
The Cramer-Rao Bound and DMT Signal Optimisation for the Identification of a Wiener-Type Model.
In: EURASIP Journal on Applied Signal Processing, 12
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
In linear system identification, optimal excitation signals can be determined using the Cramer-Rao bound. This problem has not been thoroughly studied for the nonlinear case. In this work, the Cramer-Rao bound for a factorisable Volterra model is derived. The analytical result is supported with simulation examples. The bound is then used to find the optimal excitation signal out of the class of discrete multitone signals. As the model is nonlinear in the parameters, the bound depends on the model parameters themselves. On this basis, a three-step identification procedure is proposed. To illustrate the procedure, signal optimisation is explicitly performed for a third-order nonlinear model. Methods of nonlinear optimisation are applied for the parameter estimation of the model. As a baseline, the problem of optimal discrete multitone signals for linear FIR filter estimation is reviewed.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2004 |
| Autor(en): | Koeppl, H. ; Josan, A. S. ; Paoli, G. ; Kubin, G. |
| Art des Eintrags: | Bibliographie |
| Titel: | The Cramer-Rao Bound and DMT Signal Optimisation for the Identification of a Wiener-Type Model |
| Sprache: | Englisch |
| Publikationsjahr: | September 2004 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | EURASIP Journal on Applied Signal Processing |
| Jahrgang/Volume einer Zeitschrift: | 12 |
| URL / URN: | http://asp.eurasipjournals.com/content/2004/12/642938 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | In linear system identification, optimal excitation signals can be determined using the Cramer-Rao bound. This problem has not been thoroughly studied for the nonlinear case. In this work, the Cramer-Rao bound for a factorisable Volterra model is derived. The analytical result is supported with simulation examples. The bound is then used to find the optimal excitation signal out of the class of discrete multitone signals. As the model is nonlinear in the parameters, the bound depends on the model parameters themselves. On this basis, a three-step identification procedure is proposed. To illustrate the procedure, signal optimisation is explicitly performed for a third-order nonlinear model. Methods of nonlinear optimisation are applied for the parameter estimation of the model. As a baseline, the problem of optimal discrete multitone signals for linear FIR filter estimation is reviewed. |
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik > Bioinspirierte Kommunikationssysteme 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Nachrichtentechnik |
| Hinterlegungsdatum: | 04 Apr 2014 12:38 |
| Letzte Änderung: | 23 Sep 2021 14:32 |
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