Title :
A stable and globally convergent OEM IIR ADF
Author :
Chao, Jinhui ; Sato, Teruyuki ; Tsujii, Shigeo
Author_Institution :
Dept. of Electr. & Electron. Eng., Chuo Univ., Tokyo, Japan
Abstract :
The output error method (OEM) IIR adaptive filters (ADF) can not guarantee their stability and global convergence. We present a sufficient condition for the stability of time-varying IIR filters, and prove that the IIR ADF restricted by the condition can approximate arbitrary unknown systems, provided that the degree of ADF is high enough. Then, we propose a new adaptive method, the “Rolling-Stone scheme” and apply it to the constrained OEM IIR ADF. It is proved that the new OEM IIR ADF is guaranteed to be stable and globally convergent to a global minima
Keywords :
IIR filters; adaptive filters; circuit stability; convergence of numerical methods; digital filters; error analysis; time-varying filters; IIR adaptive filters; OEM IIR ADF; Rolling-Stone scheme; adaptive method; global convergence; global minima; output error method; stability; sufficient condition; time-varying IIR filters; Adaptive filters; Chaos; Convergence; IIR filters; Minimization methods; Polynomials; Stability; Sufficient conditions; Switches; Time varying systems;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.390080
