This paper investigates the presence and the effects of multiple minima in the loss function to be minimized in time-delay estimation methods based on least squares. It is shown how in most cases a low-pass filtering action is required on data used in the identification phase in order to estimate the proper delay value. The results presented are derived by means of a frequency-domain interpretation of the least-squares technique. The paper does not focus on a specific estimation algorithm, rather it presents a scenario to accommodate many recently published identification methods. Some numerical examples illustrate the main results.

On the identifiability of the time delay with least-squares methods

FERRETTI, GIANNI;MAFFEZZONI, CLAUDIO;SCATTOLINI, RICCARDO
1996-01-01

Abstract

This paper investigates the presence and the effects of multiple minima in the loss function to be minimized in time-delay estimation methods based on least squares. It is shown how in most cases a low-pass filtering action is required on data used in the identification phase in order to estimate the proper delay value. The results presented are derived by means of a frequency-domain interpretation of the least-squares technique. The paper does not focus on a specific estimation algorithm, rather it presents a scenario to accommodate many recently published identification methods. Some numerical examples illustrate the main results.
1996
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/563745
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 27
  • ???jsp.display-item.citation.isi??? 29
social impact