LTI representations of adaptive systems with tap delay-line regressors under sinusoidal excitation

Author

Bayard, David S.

Author_Institution

Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Volume

3

fYear

1997

fDate

4-6 Jun 1997

Firstpage

1647

Abstract

It is shown that an adaptive system whose regressor is formed by tap delay-line (TDL) filtering of a multitone sinusoidal signal is representable as a parallel connection of a linear time-invariant (LTI) block and a linear time-varying (LTV) block. The induced 2-norm of the LTV subsystem decreases as N^-1 where N is the number of taps. Hence the adaptive system becomes LTI in the limit as the number of taps goes to infinity

Keywords

adaptive systems; delay lines; filtering theory; linear systems; matrix algebra; robust control; signal processing; transfer functions; LTI representations; adaptive systems; induced 2-norm; linear time-invariant block; linear time-varying block; multitone sinusoidal signal; parallel connection; sinusoidal excitation; tap delay-line filtering; tap delay-line regressor; Adaptive filters; Adaptive systems; Delay systems; Filtering algorithms; H infinity control; Nonlinear filters; Power harmonic filters; Propulsion; Transfer functions; Vectors;

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.1997.610864

Filename

610864