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Article . 1985 . Peer-reviewed
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On the estimation of transfer functions

Authors: Lennart Ljung;

On the estimation of transfer functions

Abstract

This paper treats the close conceptual relationships between the three basic approaches to estimation of transfer functions of linear systems: frequency analysis, spectral analysis and time domain prediction error methods. The emphasis of this paper is put on the empirical transfer function estimate (ETFE), which is a direct extension of the frequency response analysis to multifrequency inputs. It is used for exposing the connection between these basic methods. The estimation of transfer functions is one of the main projects which the author and his collaborators are at work on. This paper may also be regarded as a tutorial introduction for further reading.

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Keywords

Estimation and detection in stochastic control theory, Identification in stochastic control theory, Linear systems in control theory, estimation of transfer functions, frequency analysis, Inference from stochastic processes and spectral analysis, Asymptotic properties of parametric estimators, Probabilistic methods for one variable harmonic analysis, spectral analysis, time domain prediction error methods

  • BIP!
    Impact byBIP!
    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    88
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
88
Top 10%
Top 1%
Top 10%
bronze