Optimality conditions for truncated Kautz series

Author

Brinker, Albertus C den ; Benders, Frank P A ; Silva, Tomás A M Oliveira e

Author_Institution

Dept. of Electr. Eng., Eindhoven Univ. of Technol., Netherlands

Volume

43

Issue

2

fYear

1996

fDate

2/1/1996 12:00:00 AM

Firstpage

117

Lastpage

122

Abstract

Kautz functions constitute a complete orthonormal basis for square-summable functions both on a continuous as well as a discrete semi-infinite axis. A special case of the Kautz functions are the well-known Laguerre functions. The Kautz functions can be used as series expansions for causal impulse responses. Convergence of such series depends on the parameters in the Kautz functions. The conditions for the optimal parameters in a truncated Kautz series are derived

Keywords

convergence; filtering theory; functions; identification; series (mathematics); signal processing; transient response; Laguerre functions; causal impulse responses; continuous semiinfinite axis; convergence; discrete semi-infinite axis; optimal parameters; optimality conditions; series expansions; square-summable functions; truncated Kautz series; Adaptive filters; Circuits; Computer aided software engineering; Convergence; Digital signal processing; Laplace equations; System identification;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.486458

Filename

486458