### Abstract

This paper is the second of a series of two studying the asymptotic behaviour of non-parametric and parametric frequency domain identification methods to model linear dynamic systems in the presence of nonlinear distortions, using random multisine excitations. In Part I the non-parametric behavior of the transfer function measurement is studied. A related dynamic system (RLDS) is defined and linked to the classical results where the system is excited with normally distributed noise. In Part II the behavior of the parametric model is studied. Consistency is shown with respect to the RLDS system under some general conditions. A function of dependency is defined to detect the presence of unmodelled dynamics, nonlinear distortions and to bound the bias error on the transfer function estimate.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 1222-1227 |

Number of pages | 6 |

Volume | 2 |

Publication status | Published - 1995 |

Event | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: Dec 13 1995 → Dec 15 1995 |

### Other

Other | Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) |
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City | New Orleans, LA, USA |

Period | 12/13/95 → 12/15/95 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 2, pp. 1222-1227). IEEE.

**Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II : parametric identification.** / Schoukens, J.; Dobrowiecki, T.; Pintelon, R.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 2, IEEE, pp. 1222-1227, Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4), New Orleans, LA, USA, 12/13/95.

}

TY - GEN

T1 - Identification of linear systems in the presence of nonlinear distortions. A frequency domain approach. Part II

T2 - parametric identification

AU - Schoukens, J.

AU - Dobrowiecki, T.

AU - Pintelon, R.

PY - 1995

Y1 - 1995

N2 - This paper is the second of a series of two studying the asymptotic behaviour of non-parametric and parametric frequency domain identification methods to model linear dynamic systems in the presence of nonlinear distortions, using random multisine excitations. In Part I the non-parametric behavior of the transfer function measurement is studied. A related dynamic system (RLDS) is defined and linked to the classical results where the system is excited with normally distributed noise. In Part II the behavior of the parametric model is studied. Consistency is shown with respect to the RLDS system under some general conditions. A function of dependency is defined to detect the presence of unmodelled dynamics, nonlinear distortions and to bound the bias error on the transfer function estimate.

AB - This paper is the second of a series of two studying the asymptotic behaviour of non-parametric and parametric frequency domain identification methods to model linear dynamic systems in the presence of nonlinear distortions, using random multisine excitations. In Part I the non-parametric behavior of the transfer function measurement is studied. A related dynamic system (RLDS) is defined and linked to the classical results where the system is excited with normally distributed noise. In Part II the behavior of the parametric model is studied. Consistency is shown with respect to the RLDS system under some general conditions. A function of dependency is defined to detect the presence of unmodelled dynamics, nonlinear distortions and to bound the bias error on the transfer function estimate.

UR - http://www.scopus.com/inward/record.url?scp=0029545181&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029545181&partnerID=8YFLogxK

M3 - Conference contribution

VL - 2

SP - 1222

EP - 1227

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -