### Abstract

This paper is the first 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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Pages (from-to) | 1216-1221 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 2 |

Publication status | Published - Dec 1 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 |

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### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*,

*2*, 1216-1221.