RATIONAL MODELING BY PENCIL-OF-FUNCTIONS METHOD.

Vijay K. Jain, Tapan Kumar Sarkar, Donald D. Weiner

Research output: Contribution to journalArticle

37 Scopus citations

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 languageEnglish (US)
Pages (from-to)564-573
Number of pages10
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
VolumeASSP-31
Issue number3
StatePublished - Jun 1983
Externally publishedYes

    Fingerprint

ASJC Scopus subject areas

  • Signal Processing

Cite this

Jain, V. K., Sarkar, T. K., & Weiner, D. D. (1983). RATIONAL MODELING BY PENCIL-OF-FUNCTIONS METHOD. IEEE Transactions on Acoustics, Speech, and Signal Processing, ASSP-31(3), 564-573.