An iterative solution for the optimal poles in a Kautz series

Author

Sarroukh, B.E. ; van Eijndhoven, S.J.L. ; Den Brinker, A.C.

Author_Institution

Eindhoven Univ. of Technol., Netherlands

Volume

6

fYear

2001

fDate

7-11 May 2001

Firstpage

3949

Abstract

Kautz series allow orthogonal series expansion of finite-energy signals defined on a semi-infinite axis. The Kautz series consists of orthogonalized exponential functions or sequences. This series has as free parameters an ordered set of poles, each pole associated with an exponential function or sequence. For reasons of approximation and compact representation (coding), an appropriate set of ordered poles is therefore convenient. An iterative procedure to establish the optimal parameters according to an enforced convergence criterion is introduced.

Keywords

convergence of numerical methods; iterative methods; optimisation; poles and zeros; sequences; series (mathematics); signal representation; Kautz series; compact representation; enforced convergence criterion; finite-energy signals; iterative solution; optimal poles; orthogonal series expansion; orthogonalized exponential functions; semi-infinite axis; sequences; Convergence; Difference equations; Linearity; Polynomials; Stability; Time domain analysis; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT, USA

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940708

Filename

940708