DocumentCode :
2699324
Title :
Inverse Identification Adaptive IIR Filtering: Convergence Speed Analysis and Successive Approximations Algorithm
Author :
Burt, Phillip M. S.
Author_Institution :
Dept. of Telecommun. & Control Eng., Sao Paulo Univ., Brazil
Volume :
3
fYear :
2007
fDate :
15-20 April 2007
Abstract :
The approach based on balanced realization theory, previously used to analyze the convergence speed of adaptive IIR filters in the identification configuration and to propose a faster algorithm (successive approximations algorithm), is now used in the inverse identification configuration. This case is of interest for applications such as channel equalization and system identification itself. We show that, while in an identification configuration the Hankel singular values of the system being identified have an important effect on convergence speed, in the inverse identification case it is the Hankel singular values of a certain system related to the system being identified that have this role. From this result, a condition for faster convergence speed is obtained as well as an inverse identification version of the successive approximations algorithm. As in the identification case, it can lead to much faster convergence with a relatively small increase in computational complexity.
Keywords :
IIR filters; adaptive filters; approximation theory; equalisers; filtering theory; Hankel singular values; balanced realization theory; channel equalization; convergence analysis; inverse identification adaptive IIR filtering; successive approximations algorithm; Adaptive control; Adaptive filters; Algorithm design and analysis; Convergence; Filtering algorithms; IIR filters; Poles and zeros; Programmable control; Signal processing; System identification; Adaptive IIR filtering; convergence speed;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech and Signal Processing, 2007. ICASSP 2007. IEEE International Conference on
Conference_Location :
Honolulu, HI
ISSN :
1520-6149
Print_ISBN :
1-4244-0727-3
Type :
conf
DOI :
10.1109/ICASSP.2007.367085
Filename :
4217958
Link To Document :
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