TY - JOUR
T1 - Sufficient Excitation and Stable Reduced-Order Adaptive IIR Filtering
AU - Richard Johnson, C.
AU - Anderson, B. D.O.
PY - 1981/12
Y1 - 1981/12
N2 - A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.
AB - A perturbed error system is used to describe the parameter and output error behaviors of reduced-order application of adaptive identifier/filters such as the hyperstable adaptive recursive filter (HARF). Given satisfaction of a sufficient excitation condition, this error system is shown to exhibit a bounded-input, bounded-state (BIBS) property. This implies that, despite order insufficiency, the output and parameter estimates of HARF (and similar adaptive identifier/filter algorithms) remain bounded.
UR - http://www.scopus.com/inward/record.url?scp=0019659569&partnerID=8YFLogxK
U2 - 10.1109/TASSP.1981.1163701
DO - 10.1109/TASSP.1981.1163701
M3 - Article
AN - SCOPUS:0019659569
SN - 0096-3518
VL - 29
SP - 1212
EP - 1215
JO - IEEE Transactions on Acoustics, Speech, and Signal Processing
JF - IEEE Transactions on Acoustics, Speech, and Signal Processing
IS - 6
ER -