### Abstract

Pole-zero modeling of low-pass signals, such as an electromagnetic-scatterer response, is considered. It is shown by use of pencil-of-functions theorem that (a) the true parameters can be recovered in the ideal case (where the signal is the impulse reponse of a rational function H(z)), and (b) the parameters are optimal in the generalized least-squares sense when the observed data are corrupted by additive noise or by systematic error. Although the computations are more involved than in all-pole modeling, they are considerably less than those required in iterative schemes of pole-zero modeling. The advantages of the method are demonstrated by simulation example and through application to the electromagnetic response of a scatterer.

Original language | English (US) |
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Title of host publication | ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings |

Publisher | IEEE Computer Society |

Pages | 897-900 |

Number of pages | 4 |

Volume | 2 |

State | Published - 1981 |

Externally published | Yes |

Event | Unknown conference - Atlanta, Ga Duration: Mar 30 1981 → Apr 1 1981 |

### Other

Other | Unknown conference |
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City | Atlanta, Ga |

Period | 3/30/81 → 4/1/81 |

### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics

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## Cite this

*ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings*(Vol. 2, pp. 897-900). IEEE Computer Society.