DocumentCode
797934
Title
The relation between the sampling time and stochastic error for the impulsive response of linear time-independent systems
Author
Fantauzzi, G.
Author_Institution
Society of Italian Telecommuncations, Milan, Itlay
Volume
13
Issue
4
fYear
1968
fDate
8/1/1968 12:00:00 AM
Firstpage
426
Lastpage
428
Abstract
In this paper the relation between the variance of the impulsive response samples and the sampling time is analyzed with respect to the identification of a linear time-invariant system with one input and one output. The study is made under the hypothesis that only the output data are corrupted by measurement errors. The main result of this paper is a proof that the variance of the impulsive response samples diverges when the sampling time tends toward zero.
Keywords
Linear time-invariant (LTI) systems; System identification; Algorithm design and analysis; Analysis of variance; Continuous time systems; Integral equations; Iron; Linear systems; Measurement errors; Sampling methods; Stochastic systems; Telecommunication control;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1968.1098945
Filename
1098945
Link To Document