Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT, USA
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940708
