Generalized pole sensitivity analysis due to parameter perturbation

Author

Place, Anthony G. ; Allen, Gregory H.

Author_Institution

Sch. of Eng. Electr. & Comput. Eng., James Cook Univ. of North Queensland, Townsville, Qld., Australia

Volume

44

Issue

10

fYear

1997

fDate

10/1/1997 12:00:00 AM

Firstpage

869

Lastpage

873

Abstract

Recent research on pole sensitivity due to polynomial coefficient perturbation has significantly improved the understanding and accuracy of estimating pole sensitivity. This brief presents an expression for the sensitivity analysis of rational transfer functions with repeated and localized poles, extending the existing expression for sensitivity due to simple pole. This analysis provides estimates for an important question relating to pole sensitivity: Given the polynomial coefficient accuracy and pole locations, what is the resulting pole displacement?

Keywords

parameter estimation; pole assignment; polynomials; quantisation (signal); sensitivity analysis; signal processing; transfer functions; digital signal processing; generalized pole sensitivity analysis; localized poles; parameter perturbation; pole displacement; polynomial coefficient accuracy; polynomial coefficient perturbation; quantization effects; rational transfer functions; repeated poles; Circuits; Digital filters; Digital signal processing; Equations; Poles and zeros; Polynomials; Quantization; Sensitivity analysis; Thumb; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.633448

Filename

633448