A function calculus for identification and system analysis

Author

Glaum, M. ; Zames, G.

Author_Institution

Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada

Volume

3

fYear

1997

fDate

4-6 Jun 1997

Firstpage

2083

Abstract

Techniques are presented for use in FFT network analyzers to improve estimates of long lags in the impulse response. A key step involves short-term correlation of time-shifted copies of the input-output data. We introduce new Banach signal spaces for the analysis of such data. As a preliminary result, new transfer function estimation algorithms are given with bounds on the effect of undermodelling, noise and lack of empirical data in the H^∞ norm. Comparisons with optimality are given using metric-complexity concepts. The algorithms and error calculations are implemented in MATLAB to realize a software network analyzer which includes error bars

Keywords

Banach spaces; correlation methods; error analysis; identification; least squares approximations; network analysers; spectral analysis; transfer functions; transient response; Banach signal spaces; H^∞ norm; correlation; error analysis; impulse response; least squares estimation; metric-complexity; network analyzers; transfer function; Algorithm design and analysis; Calculus; Data analysis; Degradation; Hardware; Signal analysis; Signal processing algorithms; Software algorithms; Topology; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1997. Proceedings of the 1997

Conference_Location

Albuquerque, NM

ISSN

0743-1619

Print_ISBN

0-7803-3832-4

Type

conf

DOI

10.1109/ACC.1997.611057

Filename

611057