Title
On the identifiability of the time delay with least-squares methods
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.
Year
DOI
Venue
1996
10.1016/0005-1098(95)00172-7
Automatica
Keywords
Field
DocType
least-squares method,time delay,frequency domain,loss function,least square method,low pass filter,least square,recursive least squares
Least squares,Mathematical optimization,Identifiability,Filter (signal processing),Maxima and minima,Minification,Minimisation (psychology),Estimation theory,Mathematics,Recursive least squares filter
Journal
Volume
Issue
ISSN
32
3
0005-1098
Citations 
PageRank 
References 
10
0.90
5
Authors
3
Name
Order
Citations
PageRank
G. Ferretti17910.14
C. Maffezzoni26213.15
R. Scattolini333560.41