Title :
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
fDate :
10/1/1997 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
