### Abstract

It is shown by use of the pencil-of-functions theorem that a) the true parameters can be recovered in the ideal case left bracket where the signal is the impulse response of rational function H(z) right bracket , and b) the parameters are optimal in the functional dependence 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 a simulation example and through application to the electromagnetic response of a scatterer.

Original language | English (US) |
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Pages (from-to) | 564-573 |

Number of pages | 10 |

Journal | IEEE Transactions on Acoustics, Speech, and Signal Processing |

Volume | ASSP-31 |

Issue number | 3 |

State | Published - Jun 1983 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Signal Processing

### Cite this

*IEEE Transactions on Acoustics, Speech, and Signal Processing*,

*ASSP-31*(3), 564-573.