Bispectrum based mixed phased item identification by AR/ARMA models: a group delay approach

Author

Narasimhan, S.V. ; Reddy, G.R. ; Plotkin, Eugene I. ; Swamy, M.N.S.

Author_Institution

Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que., Canada

Volume

39

Issue

9

fYear

1992

fDate

9/1/1992 12:00:00 AM

Firstpage

671

Lastpage

674

Abstract

A method of identification of a mixed phase system from its output by an AR/ARMA model is proposed. This is achieved by relating the bispectrum phase and magnitude to the system group delay function (GDF). The maximum and the minimum phase decomposition properties of the GDFs allow the identification by the AR model. In addition, the pole-zero decomposition property leads to identification by the ARMA model. The proposed method uses only the bispectrum information, and it is applicable to MA, AR, or ARMA systems with mixed phase zeros, mixed phase poles, or both

Keywords

delays; identification; poles and zeros; signal processing; statistical analysis; time series; AR model; ARMA model; MA systems; bispectrum phase; maximum phase decomposition; minimum phase decomposition properties; mixed phase poles; mixed phase zeros; mixed phased item identification; pole-zero decomposition property; system group delay function; Active filters; Attenuation; Cepstrum; Chebyshev approximation; Delay systems; Frequency; Jacobian matrices; Parametric statistics; Phase estimation; Poles and zeros;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.193324

Filename

193324